Horizontal-to-Vertical Transition of 2D Layer ... - ACS Publications

Mar 11, 2019 - The layer orientation of 2D PtSe2 grown by the CVD selenization of seed ... While vertically aligned 2D PtSe2 layers present metallic t...
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Functional Nanostructured Materials (including low-D carbon)

Horizontal-to-Vertical Transition of 2D Layer Orientation in Low-Temperature CVD-Grown PtSe2 and Its Influences on Electrical Properties and Device Applications Sang Sub Han, Jong Hun Kim, Chanwoo Noh, Jung Han Kim, EunJi Ji, Junyoung Kwon, Seung Min Yu, Tae-Jun Ko, Emmanuel Okogbue, Kyu Hwan Oh, HeeSuk Chung, YounJoon Jung, Gwan-Hyoung Lee, and Yeonwoong Jung ACS Appl. Mater. Interfaces, Just Accepted Manuscript • DOI: 10.1021/acsami.9b01078 • Publication Date (Web): 11 Mar 2019 Downloaded from http://pubs.acs.org on March 15, 2019

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Horizontal-to-Vertical Transition of 2D Layer Orientation in Low-Temperature CVD-Grown PtSe2 and Its Influences on Electrical Properties and Device Applications

Sang Sub Han+,1,2, Jong Hun Kim3, Chanwoo Noh4, Jung Han Kim1, Eunji Ji3, Junyoung Kwon3, Seung Min Yu5, Tae-Jun Ko1, Emmanuel Okogbue1,6, Kyu Hwan Oh2, Hee-Suk Chung5,*, YounJoon Jung4,*, Gwan-Hyoung Lee3,*, Yeonwoong Jung1,6,7,* 1NanoScience 2Department

Technology Center, University of Central Florida, Orlando, Florida 32826, USA

of Materials Science and Engineering, Seoul National University, Seoul, 08826,

South Korea 3Department

of Materials Science and Engineering, Yonsei University, Seoul, 03722, South

Korea 4Department 5Analytical

of Chemistry, Seoul National University, Seoul, 08826, South Korea

Research Division, Korea Basic Science Institute, Jeonju 54907, South Korea

6Department

of Electrical and Computer Engineering, University of Central Florida, Orlando,

Florida 32816, USA 7Department

of Materials Science and Engineering, University of Central Florida, Orlando,

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ABSTRACT: Two-dimensional (2D) transition metal dichalcogenides (2D TMDs) in the form of

MX2 (M: transition metal, X: chalcogen) exhibit intrinsically anisotropic layered crystallinity wherein their material properties are determined by constituting M and X elements. 2D platinum diselenide (2D PtSe2) is a relatively unexplored class of 2D TMDs with noble metal Pt as M, offering distinct advantages over conventional 2D TMDs such as higher carrier mobility and lower growth temperatures. Despite the projected promise, much of its fundamental structural and electrical properties and their interrelation have not been clarified so that its full technological potential remains mostly unexplored. In this work, we investigate the structural evolution of large-area chemical vapor deposition (CVD)-grown 2D PtSe2 layers of tailored morphology and clarify its influence on resulting electrical properties. Specifically, we unveil the coupled transition of structural-electrical properties in 2D PtSe2 layers grown at low temperature (i.e., 400 oC). The layer orientation of 2D PtSe2 grown by the CVD selenization of seed Pt films exhibits horizontal-to-vertical transition with increasing Pt thickness. While vertically-aligned 2D PtSe2 layers present metallic transports, field-effect-transistor (FET) gate responses were observed with thin horizontally-aligned 2D PtSe2 layers prepared with Pt of small thickness. Density functional theory (DFT) calculation identifies the electronic structures of 2D PtSe2 layers undergoing the transition of horizontal-to-vertical layer orientation, further confirming the presence of this uniquely coupled structural-electrical transition. The advantage of low-temperature growth was further demonstrated by directly growing 2D PtSe2 layers of controlled orientation on polyimide polymeric substrates and fabricating their Kirigami structures, further strengthening the application potential of this material. Discussions on the growth mechanism behind the horizontal-to-vertical 2D layer transition are also presented.

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KEYWORDS:

2D TMD, 2D PtSe2, Vertical growth, Low temperature growth, Layer

orientation transition.

INTRODUCTION Two-dimensional (2D) transition metal dichalcogenides (TMDs) in the form of MX2 (M: transition metals, X: chalcogens) have drawn substantive scientific interests owing to their extraordinary structural and physical properties. Earlier efforts to produce them have focused on combining refractory metals for M (e.g., tungsten (W) or molybdenum (Mo)) with chalcogens (e.g., sulfur (S) or selenium (Se)) for X. In this endeavor, a large number of 2D TMDs have been developed including MoS2, MoSe2, WS2, and WSe2 which share the intrinsic nature of anisotropic layered-crystallinity and weak van der Waals (vdW) molecular bonding.1-6 They exhibit semiconducting carrier transports accompanying 2D layer number-dependent bandgap energy change offering unprecedented opportunities for unconventional electronics and optoelectronics.7-9 Despite such intriguing aspects unattainable in conventional thin-film materials, much of their electrical properties are not yet as competitive as those of more matured semiconductors prevailing in modern electronics. For example, their room-temperature carrier mobilities for transistor applications are not as high as those achieved with single-crystalline silicon (Si) or compound semiconductors (e.g. III-V).4, 7, 8 Moreover, the mobility values tend to become even lower as they are produced in a large wafer-scale by scalable synthetic routes such as chemical vapor deposition (CVD).10,

11

Recent efforts toward developing 2D TMDs of

improved electrical and optoelectrical properties have triggered studies on other types of MX2 where M is noble metals such as platinum (Pt) or palladium (Pd) instead of refractory materials.

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Amongst them, 2D platinum diselenide (2D PtSe2) is a relatively less explored one in a layered crystallinity of MX2 with close-packed arrays of Pt atoms in between Se atomic rows.12-14 This material has recently drawn substantive research interests owing to several projected advantages which are absent in Mo- or W- based 2D TMDs particularly for electronics and optoelectronics9, 15-20;

(1) It exhibits metallic carrier transport in bulk phase while its band gap opens up with

transiting to 2D monolayer forms.21-23 (2) Its theoretically predicted carrier mobility in a semiconducting phase reaches up to >1000 cm2 V−1 s−1 at room temperature,19,

24, 25

significantly higher than that of 2D MoS224, 26 and even comparable to that of black phosphorus (BP)9, 19, 22, 27 (3) Unlike BP which is prone to significant oxidation, 2D PtSe2 is stable in air as it is based on a noble metal, Pt, which is highly oxidation resistant.19, 28 In addition to these intrinsically attractive material properties, 2D PtSe2 is anticipated to offer distinguishable advantages in terms of their process capability over Mo (or W) based 2D TMDs. The melting temperature of elemental Pt is less than ~2/3 of that of Mo (or W) and the reaction activation energy for the formation of PtSe2 is significantly smaller than that for MoS2 (or WS2).29-31 Accordingly, CVD growth of 2D PtSe2 layers can happen at much lower temperature20,

32-36

than what is demanded for growing 2D MoS2 (or WS2) layers. Despite these projected advantages, much of fundamental issues pertaining to the material properties and crystalline structures of 2D PtSe2 layers still remain unveiled. Particularly, their morphological evolution during CVD growth and its influence on carrier transport properties have remained largely unexplored although its clarification would be highly useful for broadening their technological versatility. Clearly understanding the correlation of structural morphology vs. electrical characteristics in 2D PtSe2 layers is highly timely as their applications are

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expanding to a variety of electronics including field-effect-transistor (FET),18-20, 25 broadband photo-detection,9, 15-17, 37 photo-energy conversion,36, 38 and piezoelectric sensing.39 In this article, we study the growth characteristics of large-area (> a few cm2) 2D PtSe2 layers and investigate their direct correlation with carrier transport properties. We systematically grew 2D PtSe2 layers by employing the CVD selenization of Pt seeds of controlled thickness and studied their near-atomic structural morphology. We observed that the crystallographic orientation of 2D PtSe2 layers transits from “horizontal-to-vertical” with increasing layer thickness, which happens even at the low growth temperature of 400 oC. Interestingly, this structural transition is accompanied by the drastic change of electrical transport properties as clarified by FET characterization. While vertically-aligned 2D PtSe2 layers exhibit metallic characteristics, strong FET gate responses were observed with horizontally-aligned 2D PtSe2 layers prepared with Pt of very small thickness (~0.75 nm). Intrinsically p-type FET mobility of ~ 625 cm2/Vs was measured at room temperature, which is significantly higher than the mobility values observed with any previous studies on CVD-grown 2D PtSe2 layers.13, 19, 20, 37 Density functional theory (DFT) calculation was employed to further verify this experimentally observed coupled transition of 2D layer orientation and carrier transport characteristics. The calculation indicates that the bandgap of 2D PtSe2 layers opens up as they transit toward horizontallyaligned monolayers while it remains zero as far as they retain vertical configuration irrespective of layer dimension. Moreover, direct CVD growth of 2D PtSe2 layers with controlled orientation was demonstrated on polymeric substrates, further establishing their versatility for electronics of unconventional forms such as flexible devices.

RESULTS AND DISCUSSION

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We grew 2D PtSe2 layers by selenizing Pt-deposited SiO2/Si substrates with Pt seeds of various thicknesses. Figure 1a shows as-grown 2D PtSe2 layers-on-SiO2/Si substrates prepared under identical CVD conditions with Pt thickness of 0.75 nm to 10 nm. Each sample is 1cm2 in size and distinguishable optical color represents different 2D layer thickness. Transmission electron microscopy (TEM) characterization was employed to inspect the microstructure of 2D PtSe2 layers and to verify the effect of Pt seed thickness on resulting 2D layer morphology. Figure 1be compares the morphology of 2D PtSe2 layers grown with Pt of 0.75nm, 3nm, 6nm, and 10nm, respectively. All TEM images were taken at identical magnification and their corresponding selective area electron diffraction (SAED) patterns are presented as bottom insets. Figure 1b shows a TEM image of 2D PtSe2 layers grown with Pt of 0.75 nm and the representative highresolution scanning TEM (HR-STEM) image in the top inset obtained from the same sample better clarifies their poly-crystalline structure. It is evident that the material consists of multiple crystalline grains composed of horizontally stitching individual 2D layers of distinct crystallographic orientation. In 2D PtSe2 layers prepared with increasing Pt thickness, we start to observe an appearance of crystalline grains composed of vertically-aligned 2D layers (Figure 1ce); for example, the red arrows in Figure 1c denote the grains of vertically-aligned 2D layers prepared with Pt of 3 nm. The density of the vertical 2D layer grains gradually increases with further increasing Pt thickness (Figure 1c and d), and the sample prepared with 10 nm Pt (Figure 1e) is observed to mostly consist of vertically-aligned 2D layers. The top inset in Figure 1e represents the HR-STEM image of vertically-aligned 2D PtSe2 layers which predominantly expose their 2D edge sites on the surface. This morphological transition of 2D layer orientation is also noticeable in SAED patterns. The SAED obtained from horizontally-aligned 2D layers (Figure 1b bottom inset) predominantly exhibit the ring patterns corresponding to (100) and

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(110) orientation within the 2D PtSe2 hexagonal basal planes exposed on the surface.25, 40 As 2D layers transit to vertical orientation, SAED starts to display the ring patterns corresponding to (001) crystalline planes, i.e., c-axis of hexagonal PtSe2 (Figure 1c and d) exhibiting sharp contrast to the characteristics observed with horizontally-aligned layers (Figure 1b). As the degree of vertical alignment increases, the intensity of (001) SAED pattern becomes stronger (e.g. Figure 1c vs. Figure 1e) indicating the increasing dominance of vertically-aligned 2D layers aligned along the c-axis of their hexagonal crystals. This systematic TEM characterization strongly confirms that 2D PtSe2 layers undergo the transition of horizontal-to-vertical orientation with increasing layer thickness. In order to clarify whether this structural transition is associated with or driven by any chemical compositional alteration, we carried out energy-dispersive X-ray spectroscopy (EDS) characterization. Figure 1f shows EDS profiles obtained from 2D PtSe2 layers prepared with Pt of 0.75 nm (top) and 10 nm (bottom) thickness, respectively. The results confirm the stoichiometric atomic ratio of Pt:Se = 1:2 in both materials irrespective of the distinctions in their 2D layer orientation (horizontal vs. vertical) and initial Pt thickness (0.75 nm vs. 10 nm). The areal coverage ratio of vertically-aligned 2D PtSe2 layers was quantified by analyzing five representative top-view TEM images of each sample taken at identical magnification. Figure 1g shows an apparent trend that 2D PtSe2 layers preferably grow in vertical orientation with increasing Pt thickness. It is noteworthy that the thickness of Pt seeds significantly increases (~ 4-5 times) as they get converted to 2D PtSe2 layers by the CVD selenization (Supporting Information, Figure S1). Also, the surfaces of vertically-aligned 2D PtSe2 layers are more rough and irregular compared to horizontally-aligned 2D PtSe2 layers exposing their basal planes on the surface (Supporting Information, Figure S1).

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Atomic-scale structural details of horizontal and vertical 2D PtSe2 layers were further inspected by HR-STEM. Figure 2a-c present the plane-view and cross-sectional characterization of horizontally-aligned 2D PtSe2 layers. The low-magnification TEM image in Figure 2a shows the uniform imaging contrast of horizontally-aligned 2D PtSe2 layers reflecting their high spatial homogeneity. The corresponding HR-STEM image (Figure 2b) reveals that the entire sample area is composed of horizontally-aligned 2D layers without presence of any crystalline grains of vertically-aligned layers. The magnified image (red box) clearly shows a mixture of crystal lattice fringes obtained from (001) zone axis-oriented hexagonal 2D PtSe2 as well as typical Moiré fringes, indicative of vertically-stacked 2D horizontal layers of crystallographic misalignment. Figure 2c reveals the cross-sectional view of the corresponding horizontallyaligned 2D PtSe2 of ~10 layers. It is evident that the horizontally-aligned 2D PtSe2 layers exhibit well-resolved interlayer spacing of ~5.2 Å which corresponds to the (001) planar distance of hexagonal PtSe2 crystals.15,

40

Figure 2d-f present the plane-view and cross-sectional

characterization of vertically-aligned 2D PtSe2 layers. The low-magnification TEM image in Figure 2d shows the imaging contrast variation across the large surface of vertically-aligned 2D PtSe2 layers. The corresponding HR-STEM image (Figure 2e) reveals that the entire sample area consists of a large number of crystalline grains composed of vertically-aligned 2D layers. The magnified image (red box) clearly shows that vertically-aligned 2D layers predominantly expose their edge sites on the surface. The interlayer spacing in between each vertical layer is determined to be ~ 5.2 Å which matches the (001) planar distance of 1T-phased bulk PtSe2 crystal.15, 40 Figure 2f reveals the cross-sectional view of the corresponding vertically-aligned 2D PtSe2 layers directly grown on a SiO2/Si surface.

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Chemical and electronic structures of 2D PtSe2 layers were inspected by Raman spectroscopy and room-temperature carrier transport measurements. Figure 3a-c presents the Raman characterization of 2D PtSe2 layers of varying layer orientation prepared with Pt of various thickness. Figure 3a shows the Raman spectra of 2D PtSe2 layers obtained from the samples used for the TEM/STEM characterization. All the samples commonly exhibit two dominant Raman peaks, Eg mode at 175 cm-1 (in-plane vibration of top and bottom Se atoms within an atomic layer) and A1g mode at 205 cm-1 (out-of-plane motions of Se atoms). The crystal structure of PtSe2 belongs to the centrosymmetric CdI2-type with space group of P3m1 (No. 164 and point group of D3d).41 The corresponding vibration modes at Γ can break into the irreducible representation of Γ = A1g+Eg+2A2u+2Eu , where the former two terms are Ramanactive and the latter two terms are infrared-active, respectively.41 The LO band dispersed from 218 to 240 cm-1 is only observed with the samples prepared with Pt thickness < 1 nm, which corresponds to the superposition of the A2u and Eu modes contributed by the mutual motion of Pt and Se atoms vibrating along both the directions of out-of-plane and in-plane.42 It is also noted that the Raman intensity of Si at 520 cm-1 gradually decreases with increasing Pt thickness. Figure 3b presents the shift of Raman energy, i.e., wavenumber difference of A1g−Eg, as a function of Pt thickness. The plot reveals a slight peak shift of ~1 cm-1 as the orientation of 2D layers transits from horizontal to vertical, which is much smaller than those (e.g., ~10 cm-1) previously observed with CVD-grown 2D PtSe2 layers of increasing thickness.42 This small energy shift is a result of suppressed in-plane/out-of-plane strain in constituting 2D layers as manifested by the insignificant change in both A1g and Eg phonon vibration modes (Supporting Information, Figure S2). Moreover, the suppressed peak shift can be associated with the enhanced dielectric screening of Coulombic interaction in vertically-aligned 2D PtSe2 layers. For

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instance, the enriched 2D edge sites predominantly exposed on the surface of vertically-aligned 2D TMDs are known to be highly metallic in comparison to 2D basal planes.43 Indeed, the electrical conductivity of our vertically-aligned 2D PtSe2 layers will be confirmed by FET characterization in a later section. Figure 3c presents the Raman peak intensity ratio of A1g/Eg as a function of Pt thickness. The increasing peak intensity of A1g over Eg in the plot clearly exhibits that the out-of-plane A1g mode dominates over the in-plane Eg mode as 2D PtSe2 layers transit from horizontal to vertical orientation. This trend is opposite to the A1g/Eg characteristics observed with all horizontally-aligned 2D TMDs of varying layer thickness,44-47 but is fully consistent with the observation with vertically-aligned 2D MoS2 layers.34,

48,

49

The

crystallographic and molecular structure of 2D PtSe2 layers verified by TEM/STEM and Raman characterization were correlated with their carrier transport properties. We fabricated FETs employing as-grown 2D PtSe2 layers on SiO2/Si wafers by defining chrome/gold (Cr/Au: 1nm/70 nm) source-drain electrodes. Gate responses were assessed by utilizing the highly-doped Si handle wafer as a global back gate. Details for FET fabrication procedures are in Methods section. Figure 3d shows the plots of resistance (R) vs. FET back gate voltage (Vbg) obtained from the 2D PtSe2 layers corresponding to those employed for the TEM/STEM and Raman characterization. The two-terminal resistance of 2D PtSe2 layers gradually increases with increasing Pt thickness, similar to the previous observation with mechanically-exfoliated horizontal 2D PtSe2 of various layer numbers.13, 19 Moreover, the gate dependence of R is clearly observed with the horizontally-aligned 2D PtSe2 layers grown with 0.75 nm Pt while all the other thicker samples exhibit no gate responses indicating the onset of transition in carrier transport characteristics. Semiconducting-to-metallic transition has been similarly observed with mechanically-exfoliated horizontal 2D PtSe2 layers of increasing layer numbers22 as well as

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chemically-synthesized 2D PtSe2 films of undefined layer orientation.13,

20, 37

This coupled

structural/electrical transition of horizontal-to-vertical layer orientation accompanying tunable gate responses is further manifested in the plots shown in Figure 3e. The ratio of the current obtained at Vbg = ±60 V and the conductance determined at Vbg = 0 V are plotted as a function of Pt thickness. The current ratio increases from unity to ~ 1.2 as the orientation of 2D PtSe2 layers transits from vertical to horizontal while the conductance monotonously decreases. Having confirmed the electrical transition accompanying the morphological evolution in 2D PtSe2 layers, we further investigated the gate-tunable transport characteristics only observed with thin horizontally-aligned 2D PtSe2 layers. Figure 3f shows the output curve, Ids–Vds, of a FET based on horizontally-aligned 2D PtSe2 layers prepared with 0.75 nm Pt under varying back gate (bg) voltages. The highly linear output characteristics indicate the good Ohmic contact of Cr/Au with the material. The source(s)–drain(d) current, Ids, is observed to decrease with increasing back gate voltage (Vbg) indicating p-type FET gate responses. This observed hole transport is consistent with recent studies on chemically-synthesized 2D PtSe2 layers20 while n-type transports have also been reported varying with material preparation conditions.13, 19, 50 Figure 3g presents the gate response of the same FET device manifested by its Ids variation as a function of gate voltage, Vbg, along with its corresponding optical microscopy image in the inset. From the slope of the transfer curve, a FET mobility of 625 cm2/Vs is determined by using the following equation at Vds =10 mV 𝐿

𝑑𝐼𝑑𝑠

μ𝐹𝐸 = 𝑊𝐶𝑖𝑉𝑑𝑠(𝑑𝑉𝑏𝑔) where L and W are channel length and width, respectively.51 Capacitance per unit area (Ci) is ε0ε/t with relative permittivity (ε) and thickness of SiO2 (t). This FET mobility value is order-of-

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magnitude higher than those of any previously reported CVD-grown 2D PtSe2 layers,19,

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20, 37

while the FET channel is noted to be highly p-doped with high OFF current. The observed low ON/OFF current ratio indicates the onset of metallic-to-semiconducting transition suggesting that 2D PtSe2 layers have not fully transited to the purely semiconducting regime, possibly due to their large (~10) layer numbers (Figure 2c) unlike the cases of mono-to-bi layers. Previously observed transitions of carrier transport characteristics in horizontally-aligned 2D PtSe2 layers 13, 52

have been attributed to the Se p-orbital coupling driven by the modulation of in-

plane/out-of-plane strain with varying layer numbers. However, considering the suppressed strain effect confirmed by the Raman characterization, i.e., insignificant peak shifts in Figure 3b, the transition of carrier transport properties driven by 2D layer structural evolution observed in our experiments is likely to be attributed to other mechanisms. In order to clarify the origin for this coupled transition of electrical transport-layer orientation, we calculated the electronic structures of 2D PtSe2 of various layer morphology and orientation. We performed ab initio calculation based on density functional theory (DFT) using Vienna ab initio simulation package (VASP).53 Details for simulation conditions are described in Method section. Figure 4a shows the band structures and the projected density of state (PDOS) of 2D PtSe2 layers calculated along the K-Γ-M-K points in the hexagonal Brillouin zone. Two different cases of horizontally-aligned 2D PtSe2 monolayer and their bulk counterparts are presented. The monolayer exhibits a bandgap energy of ~1.3 eV while the bulk crystal shows zero bandgap energy, consistent with previous theoretical studies.14, 22, 23 We then calculated the bandgap energies of vertically-aligned 2D PtSe2 layers along the Γ-X-S-Y- Γ-Z-U-R-T-Z points in the orthorhombic Brillouin zone (Figure 4b-d). Vertically-aligned 2D PtSe2 layers of various vertical lengths were modeled with the fixed interlayer spacing of 5.12Å, i.e., 7.9Å, 10Å, and 12 ACS Paragon Plus Environment

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20Å corresponding to Figure 4b-d, respectively. Although the band structures become highly complicated with the increasing number of atoms within unit cells, all the vertically-aligned 2D PtSe2 layers exhibit zero bandgap energies irrespective of their vertical lengths. It is noteworthy that bandgap energies are already zero even with their vertical dimensions are much smaller than those experimentally observed (e.g., vertical length > 20 nm in Figure 2f). We also studied how the morphology of vertically-aligned 2D PtSe2 layers affects their band structures by altering the number of exposed Se atoms on their vertical edges. In addition to Figure 4b-d where each 2D layer edge contains two exposed Se atoms, we calculated the band structure of vertical 2D PtSe2 layers when one Se and one Pt atoms are exposed on their edges (Supporting Information, Figure S3). Although the band structures slightly vary depending on their edge configuration, it is commonly observed that vertically-aligned 2D PtSe2 layers show metallic carrier transports with zero bandgap energies. All these comprehensive experimental and theoretical results strongly confirm the transition of semiconducting-to-metallic carrier transports as the orientation of 2D PtSe2 layers transit from horizontal to vertical. Moreover, they indicate that the bandgap energies of 2D PtSe2 layers are mainly determined by the number of stacked 2D layer basal planes. Having confirmed the coupled transition of structural-electrical properties in 2D PtSe2 layers, we investigate this horizontal-to-vertical transition of 2D layer orientation is an intrinsic growth phenomenon not affected by other variables such as growth substrates. By taking advantage of their intrinsically low growth temperature, we explore the direct growth of 2D PtSe2 layers on polymeric polyimide (PI) substrates and investigate their 2D layer morphology. Following the deposition of Pt seeds of controlled thickness, 2D PtSe2 layers were directly grown on top of PI substrates at 400 oC using the CVD growth conditions identical to those 13 ACS Paragon Plus Environment

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adopted for SiO2/Si substrates (Figure 5a). As-grown 2D PtSe2 layers-on-PI substrates exhibit excellent mechanical flexibility, as demonstrated in Figure 5b. The successful low-temperature direct growth of 2D PtSe2 layers was confirmed by x-ray photoelectron spectroscopy (XPS: Figure 5c-e) and TEM (Figure 5f and g) characterization. Figure 5c, d show the XPS core level spectra of Pt 4f and Se 3d from 2D PtSe2 layers directly grown on PI substrates with 0.75 nm Pt with the corresponding spin–orbit splitting values of 3.3 and 1.1 eV, respectively. Considering the high symmetry of the spectral profiles and their narrow full width half maximum (FWHM) of ~1eV, the entire Pt 4f spectra can be attributable to Pt4+ which corresponds to PtSe2. Core level spectra of Pt 4f were also obtained from 2D PtSe2 layers prepared with thicker Pt (Supporting Information, Figure S4a), which further confirms the dominant presence of Pt4+ oxidation states. In the core level spectra of Se 3d in Figure 5d, a major peak at a lower binding energy is observed along with an additional broad peak of very low intensity at a higher binding energy. The deconvoluted spectra reveal that the major peak associated with the binding energy of spinup state (j =2+1/2) observed at 54.1 eV is attributed to PtSe2 while the tiny peak at ∼58.1 eV corresponds to Se-oxides.54 Moreover, it is noted that the binding energyies of Pt 4f and Se 3d do not exhibit any considerable peak shift irrespective of Pt thickness, as shown in Figure 5e. This XPS analysis indicates that Pt atoms are almost fully coordinated by Se atoms, confirming the growth of PtSe2 crystals of nearly stoichiometric compositions on PI substrates. We calculated the Pt/Se elemental ratio from the XPS spectra considering the atomic sensitivity relation according to Pt/Se= APt4f ∙σSe3d/ ASe3d ∙σPt4f, where A is a respective peak area and σ is an atomic sensitivity factor of each element. The calculated Pt/Se ratio is ~0.55 which is very close to the stoichiometry of 2D PtSe2 layers and does not significantly vary with Pt thickness. We additionally observed that the amount of SeOx gradually yet slightly increases with increasing Pt

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thickness (Supporting Information, Figure S4b), which is attributed to the emergence of chemically active 2D edge sites as similarly observed with vertically-aligned 2D MoS2 layers.48 It is worth mentioning that the XPS measurements were not affected by any surface charging effect, reflecting the excellent electrical conductivity of 2D PtSe2 layers. TEM characterization confirm the growth of both horizontally- and vertically-aligned 2D PtSe2 layers on PI substrates with varying Pt thickness, as demonstrated in Figure 5f and g. The horizontally-aligned (Figure 5f) and vertically-aligned (Figure 5g) 2D PtSe2 layers were prepared with Pt of 1 nm and 6 nm, respectively. This unique advantage of low-temperature direct growth on mechanically flexible substrates can realize a variety of 2D PtSe2 layers-based applications which are difficult to achieve with other conventional 2D TMDs. One example of them is 2D PtSe2 layers-based Kirigami structure which can be easily fabricated by the laser-cutting of as-grown 2D PtSe2 layers on PI substrates. Figure 5h shows schematics of 2D PtSe2 layers/PI-based Kirigami structures before/after tensile stretch and the corresponding camera images of a fabricated sample in its pristine and 50% stretched-state. Figure 5i shows the two-terminal current-voltage (I-V) characteristics of the same sample, revealing a very slight (~5 %) current drop even up to 50 % tensile stretch. Figure 5j shows the change of current in the 2D PtSe2/PI Kirigami as a function of stretch rate, revealing its complete electrical breakdown at ~90 % stretch rate. These electrical performances of 2D PtSe2/PI Kirigami enabled by direct 2D layer growth are much better than the previously reported 2D MoS2-based one in a similar configuration where 2D layers were mechanically-assembled onto stretchable substrates.55 This demonstration not only confirms the generality of the horizontal-to-vertical transition in 2D PtSe2 layers insensitive to growth substrates, but also indicates their technological versatility for unconventional electronics of various form factors including flexible and stretchable devices.

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Lastly, we discuss the growth mechanism which governs the horizontal-to-vertical 2D layer transition in PtSe2. We have previously observed the similar layer orientation transition in 2D MoS2 and 2D WS2 layers,35 and investigated its fundamental principle by employing corroborating TEM characterization and molecular dynamic (MD) simulation.56 We have identified that the seed metal (M) thickness-modulated transition of 2D layer orientation is a result of the thermodynamic interplay of M-to-2D MX2 conversion at the initial 2D layer growth stage; MX2 tends to rearrange its 2D layer orientation with increasing physical confinement (increasing M thickness) in a way to release the accumulating in-plane strain exerted by interconnecting 2D layers. In other words, 2D layers in vertical orientation can “freely” grow by exposing their growth fronts (i.e., 2D edges) on top of MX2 without being interrupted by the internal strain.56 Figure 6 illustrates the two different growth scenarios for 2D PtSe2 layers when they grow horizontally and vertically through the selenization of thin and thick Pt seeds, respectively. The growth of 2D PtSe2 layers is carried out by the conversion of Pt into PtSe2 which involves the volume expansion of initially deposited Pt seeds as single Pt atoms take in additional two Se atoms (Figure 6a). When thin Pt seeds (typically, < 1nm in our case) are deposited on SiO2/Si, they tend to form discontinuous nano-sized Pt islands with ample free volume in between them (Figure 6b, c). Upon selenization reaction, PtSe2 gets nucleated from Pt forming 2D layers which can efficiently fill in the free volume through their continued growth. As a result, horizontally-aligned 2D PtSe2 layers are realized as illustrated in Figure 6d. When thick Pt seeds are deposited on SiO2/Si, they tend to form continuous films composed of networked Pt islands with diminished free volume. In this case, growing PtSe2 will experience substantive strain build-up owing to the physical constriction with unavailable free volume. As a result, it tends to redirect 2D layer orientation in a way to relieve the strain yielding vertically-

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aligned 2D PtSe2 layers as illustrated in Figure 6e. Note that 2D layers can be easily bent and redirected during their growth while maintaining the interlayer vdW bond owing to high mechanical flexibility.56 This analysis well agrees with the Raman characterization (Figure 3b) which also indicates that strain is efficiently relieved as 2D PtSe2 layers undergo horizontal-tovertical transition, although their direct growth simulation is technically difficult at present owing to the unavailability of simulation parameters (e.g. reactive force field (ReaxFF) potential). The exact clarification of the fundamental growth mechanism and layer orientation transition in 2D PtSe2 layers still needs further investigation.

CONCLUSION In summary, we have identified a coupled transition of structural morphology and electrical transports in 2D PtSe2 layers by applying corroborating TEM and electrical characterization. With increasing 2D layer thickness, the layer orientation of 2D PtSe2 transits from horizontal-tovertical accompanying a gate-tunable transition of charge transport characteristics. FET gate responses achieved with thin horizontally-aligned 2D PtSe2 layers are manifested by the high hole mobility of ~ 625 cm2/Vs determined at room temperature. The presence of this uniquely coupled structural-electrical transition verified by DFT calculation has also been demonstrated in 2D PtSe2 layers directly grown on polymeric substrates. This study indicates that 2D PtSe2 layers exhibit a rich set of intriguing structural and electrical properties as well as process advantages which have not been identified with other 2D TMDs.

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2D PtSe2 layer growth: 2D PtSe2 layers were CVD-grown using a horizontal quartz tube furnace (Lindberg/Blue M Mini-Mite). Pt seeds of controlled thickness were deposited on growth substrates including SiO2/Si wafers (300 nm; SiO2 thickness) and polyimide (PI) films by an electron beam evaporator (Thermionics VE-100) at a fixed evaporation rate of 0.15 Å/s. Ptdeposited substrates were placed in the center zone of the CVD furnace, and an alumina boat containing Se powder was placed at the furnace upstream side (temperature ~ 200 oC). The quartz tube was pumped down to a base pressure of ~1 mTorr and purged with argon (Ar) gas to remove oxygen and organic residuals. Subsequently, it was heated to the growth temperature of 400 oC with total ramping time of 50 min and was maintained for another 50 min. During the growth reaction, the flow rate of Ar gas was maintained to be ~100 standard cubic centimeters per minute (SCCM) at a pressure of ~100 mTorr. TEM/STEM characterization: The structural and chemical analysis of as-grown 2D PtSe2 layers were performed using FEI F30 TEM and JEOL ARM 200F Cs-corrected TEM. FEI F30 TEM operation was carried out at an accelerating voltage of 300 kV and JEOL ARM 200F TEM was operated at 200 kV. For plane-view TEM sample preparation, buffered oxide etchant (BOE) and water were directly applied to 2D PtSe2 layers grown on SiO2/Si substrates and PI films, respectively. Exfoliated 2D PtSe2 layers were directly integrated onto copper TEM grids by mechanically scooping them. Cross-sectional TEM samples were prepared by focused ion beam (FIB) TEM lift-out techniques. Raman characterization: Raman characterization was performed using inVia™ confocalRaman microscope system (Renishaw) in ambient condition at room temperature. A laser source of 532 nm wavelength was used and the excitation power was set to be 1 mW to minimize any

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sample damage. Raman emission was collected and dispersed by a grating of 1800 lines-per-mm with the data accumulation duration of 10 sec. Device fabrication and electrical measurement: For 2D PtSe2 FET device fabrication, Cr (1nm)/Au (70 nm) electrodes were patterned on top of as-grown 2D PtSe2 layers-on-SiO2/Si substrates through a shadow mask by electron beam evaporation in a vacuum of 10-7 Torr. All electrical measurements were carried out at a home-built probe station using Keithley 4200 semiconductor parameter analyzer in ambient condition at room temperature. DFT calculation: Wave functions were approximated with projector augmented wave (PAW) pseudo-potentials57 and the exchange-correlation functional was described by generalized gradient approximation (GGA) of Perdew-Burke-Ernzerhof (PBE) parameters.58,

59

A cutoff

energy of 500 eV was used and the geometry optimization was performed until the energy convergence satisfies the criterion of 1.0 × 10 ―5eV/Å. In the case of bulk PtSe2, unit cells and atomic positions were relaxed during the geometry optimization while all the other 2D PtSe2 structures were relaxed from the optimized geometry with fixed unit cells. The unit cells of pristine and vertical 2D PtSe2 layers were set to be in hexagonal and orthorhombic phases, respectively. During the calculation, the first Brillouin zone was sampled with the MonkhorstPack grid of 11 × 11 × 11 k points for monolayer 2D PtSe2 layers and bulk crystals, and 7 × 7 × 3 k points for vertically-aligned 2D PtSe2 layers. The lattice constant of PtSe2 is set to be 3.78 Å, the thickness of each 2D layer is 2.58 Å, and the inter-planar spacing between each layer is 5.12 Å. The monolayer of horizontally-aligned 2D PtSe2 is defined by setting ~15 Å vacuum between each layer.

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XPS characterization: XPS characterization was performed with Thermo VG Scientific K-α system equipped with an Al Kα-ray source (1486.3 eV) in ultra-high vacuum condition. The energy resolution of the instrument is ~0.5 eV and 100 W X-ray spot of 400 μm2 was used for surface scans with pass energy of 50 eV. All XPS peaks are calibrated using the binding energy of C1s, 284.5 eV, and Shirley-typed background is subtracted for peak fitting.

ASSOCIATED CONTENT Supporting Information; Additional characterization data including TEM, Raman, AFM, and XPS as well as DFT calculation. The Supporting Information is available free of charge on the web.

AUTHOR INFORMATION Corresponding Authors *Email:

[email protected]

*Email:

[email protected]

*Email:

[email protected]

*Email:

[email protected]

Author Contribution Y. J. conceived the project and directed it along with H.-S. C., G. H. L., and Y. J. S. S. H. synthesized the materials and performed the TEM characterization under the guidance of K. H. O., H.-S. C., and Y. J. J. H. K. performed the Raman and XPS characterization under the 20 ACS Paragon Plus Environment

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guidance of G. H. L. C. N. performed the DFT calculation under the guidance of Y. J. J. H. K. participated in the material growth. E. J. performed the AFM characterization and J. K. performed the device fabrication and electrical characterization under the guidance of G. H. L. S. S. M. Y. participated in the TEM characterization under the guidance of H.-S. C. T.-J. K. and E. O. participated in the fabrication and measurement of Kirigami structures. S. S. H., T.-J. K., and Y. J. wrote the manuscript with inputs from all authors.

Notes The authors declare no competing financial interests

ACKNOWLEDGEMENTS Y. J. acknoledges financial suppport from the University of Central Flordida (grant no. 20080742). This research was supported by Creative Materials Discovery Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT and Future Planning (NRF-2017M3D1A1039553) and by the National Research Foundation of Korea (Grant No. NRF-2018R1D1A1B07043973). The work at Yonsei is supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the

Ministry

of

Science,

ICT

&

Future

Planning

(NRF-2017R1A2B2006568,

2017R1A5A1014862, SRC program: vdWMRC center), and the Korea Institute of Energy Technology Evaluation and Planning (KETEP) and the Ministry of Trade, Industry & Energy(MOTIE) of the Republic of Korea (No. 20173010013340). S. S. H. and K. H. O. were

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supported by a grant [KCG-01-2017-02] through the Disaster and Safety Management Institute funded by Korea Coast Guard of Korean government.

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Figure 1. (a) A photography of as-grown 2D PtSe2 layres-on-SiO2/Si substrates prepared with Pt of the noted thicknesses. (b-e) TEM characterization of 2D PtSe2 layers grown with Pt of; (b) 0.75 nm (c) 3 nm (d) 6 nm, and (e) 10 nm. (f) EDS profiles obtained from 2D PtSe2 layers prepared with 0.75 nm (top) and 10 nm (bottom) Pt seeds. (g) Coverage ratio of verticallyaligned 2D PtSe2 layers as a function of Pt thickness.

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Figure 2. (a-c) TEM/STEM characterization of horizontally-aligned 2D PtSe2 layers prepared with Pt of 0.75 nm; (a) Low-magnification TEM. (b) HR-STEM. (c) Cross-sectional TEM. (d-f) TEM/STEM characterization of vertically-aligned 2D PtSe2 layers prepare with Pt of 8 nm; (d) Low-magnification TEM. (e) HR-STEM. (f) Cross-sectional TEM.

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Figure 3. (a) Raman profiles of 2D PtSe2 layers prepared with Pt seeds of various thickness. (b) Raman peak position difference as a function of Pt thickness. (c) Raman peak intensity ratio as a function of Pt thickness. (d) Plots of R vs. Vbg obtained from 2D PtSe2 FETs with varying Pt thickness. (e) Plots of current ratio obtained at Vbg = ±60V and conductance determined at Vbg = 0V as a function of Pt thickness. (f) Ids-Vds characteristics under varying Vbg (step of 40 V) obtained from horizontally-aligned 2D PtSe2 layers. (g) Ids-Vbg characteristics obtained at Vds = 10 mV from the sample corresponding to (f).

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Figure 4. Electronic band structures and projected density of states (PDOS) of PtSe2 of various structures. (a) 2D monolayer vs. bulk. (b-d) Vertically-aligned 2D layers of various layer lengths of (b) 7.9 Å. (c) 10 Å. (d) 20 Å. Vacuum of ~10 Å was inserted above the vertically-aligned 2D PtSe2 layers.

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Figure 5. (a) Direct CVD growth of 2D PtSe2 layers on PI films prepared with Pt of various thickness. (b) Demonstration of mechanical flexibility of 2D PtSe2 layers grown on PI films. (c)(e): XPS characterization of (c) Pt 4f- and (d) Se 3d- core levels obtained from 2D PtSe2 layers prepared with 0.75 nm Pt. (e) Binding energy shift of Pt 4f7/2 (black circle) and Se 3d5/2 (red square) with increasing Pt thickness. Y-axis was disconnected to improve visualization. (f)(g) HRTEM characterization of (f) horizontally- and (g) vertically-aligned 2D PtSe2 layers directly grown on PI films. (h)-(i): Demonstration of 2D PtSe2-based Kirigami enabled by the direct lowtemperature growth of 2D PtSe2 layers on PI substrates. (h) Schematics and experimental realization. (i) I-V characteristics of a Kirigami sample prepared with Pt of 6 nm with respect to stretch rate. (j) Current change as a function of stretch rate revealing the electrical breakdown of the Kirigami.

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Figure 6. Illustration of two different growth scenarios for 2D PtSe2 layers; (a)(b) horizontallyaligned 2D PtSe2 layers grown by the selenization of thin Pt seed layers. (a) Selenization of discontinuous Pt nanoclusters. (b) Plane-view TEM image of discontinuous Pt nanoclusters deposited on an amorphous carbon film. (c) Corresponding HRTEM image revealing crystalline Pt nanoclusters (yellow circles). (d) Growth of 2D PtSe2 horizontally expanding layers filling in the free volumes in between Pt nanoclusters. (e) Vertical growth of 2D PtSe2 layers by selenizing physically confined Pt nanoclusters of large thickness.

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REFERENCES

1.

Manzeli, S.; Ovchinnikov, D.; Pasquier, D.; Yazyev, O. V.; Kis, A., 2D Transition Metal

Dichalcogenides. Nature Reviews Materials 2017, 2, 17033-17048. 2.

Chhowalla, M.; Shin, H. S.; Eda, G.; Li, L.-J.; Loh, K. P.; Zhang, H., The Chemistry of

Two-Dimensional Layered Transition Metal Dichalcogenide Nanosheets. Nature Chemistry 2013, 5, 263-275. 3.

Mak, K. F.; Shan, J., Photonics and Optoelectronics of 2D Semiconductor Transition

Metal Dichalcogenides. Nature Photonics 2016, 10, 216-226. 4.

Akinwande, D.; Petrone, N.; Hone, J., Two-Dimensional Flexible Nanoelectronics.

Nature Communications 2014, 5, 5678-5690. 5.

Chia, X.; Eng, A. Y. S.; Ambrosi, A.; Tan, S. M.; Pumera, M., Electrochemistry of

Nanostructured Layered Transition-Metal Dichalcogenides. Chemical Reviews 2015, 115, 11941-11966. 6.

Choudhary, N.; Islam, M. A.; Kim, J. H.; Ko, T.-J.; Schropp, A.; Hurtado, L.; Weitzman,

D.; Zhai, L.; Jung, Y., Two-Dimensional Transition Metal Dichalcogenide Hybrid Materials for Energy Applications. Nano Today 2018, 19, 16-40. 7.

Wang, Q. H.; Kalantar-Zadeh, K.; Kis, A.; Coleman, J. N.; Strano, M. S., Electronics and

Optoelectronics of Two-Dimensional Transition Metal Dichalcogenides. Nature Nanotechnology 2012, 7, 699-712. 8.

Fiori, G.; Bonaccorso, F.; Iannaccone, G.; Palacios, T.; Neumaier, D.; Seabaugh, A.;

Banerjee, S. K.; Colombo, L., Electronics Based on Two-Dimensional Materials. Nature Nanotechnology 2014, 9, 768-780.

29 ACS Paragon Plus Environment

ACS Applied Materials & Interfaces 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

9.

Page 30 of 37

Yan, M.; Wang, E.; Zhou, X.; Zhang, G.; Zhang, H.; Zhang, K.; Yao, W.; Lu, N.; Yang,

S.; Wu, S.; Yoshikawa, T.; Miyamoto, K.; Okuda, T.; Wu, Y.; Yu, P.; Duan, W.; Zhou, S., High Quality Atomically Thin PtSe2 Films Grown by Molecular Beam Epitaxy. 2D Materials 2017, 4, 045015-045028. 10.

Yu, H.; Liao, M.; Zhao, W.; Liu, G.; Zhou, X. J.; Wei, Z.; Xu, X.; Liu, K.; Hu, Z.; Deng,

K.; Zhou, S.; Shi, J.-A.; Gu, L.; Shen, C.; Zhang, T.; Du, L.; Xie, L.; Zhu, J.; Chen, W.; Yang, R.; Shi, D.; Zhang, G., Wafer-Scale Growth and Transfer of Highly-Oriented Monolayer MoS2 Continuous Films. ACS Nano 2017, 11, 12001-12007. 11.

Kang, K.; Xie, S.; Huang, L.; Han, Y.; Huang, P. Y.; Mak, K. F.; Kim, C.-J.; Muller, D.;

Park,

J.,

High-Mobility

Three-Atom-Thick

Semiconducting

Films

with

Wafer-Scale

Homogeneity. Nature 2015, 520, 656-660. 12.

Guo, G. Y.; Liang, W. Y., The Electronic Structures of Platinum Dichalcogenides: PtS2 ,

PtSe2 and PtTe2. Journal of Physics C: Solid State Physics 1986, 19, 995-1008. 13.

Ciarrocchi, A.; Avsar, A.; Ovchinnikov, D.; Kis, A., Thickness-Modulated Metal-to-

Semiconductor Transformation in a Transition Metal Dichalcogenide. Nature Communications 2018, 9, 919-925. 14.

Yao, W.; Wang, E.; Huang, H.; Deng, K.; Yan, M.; Zhang, K.; Miyamoto, K.; Okuda, T.;

Li, L.; Wang, Y.; Gao, H.; Liu, C.; Duan, W.; Zhou, S., Direct Observation of Spin-Layer Locking by Local Rashba Effect in Monolayer Semiconducting PtSe2 Film. Nature Communications 2017, 8, 14216-14222. 15.

Zeng, L.-H.; Lin, S.-H.; Li, Z.-J.; Zhang, Z.-X.; Zhang, T.-F.; Xie, C.; Mak, C.-H.; Chai,

Y.; Lau, S. P.; Luo, L.-B.; Tsang, Y. H., Fast, Self-Driven, Air-Stable, and Broadband

30 ACS Paragon Plus Environment

Page 31 of 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

ACS Applied Materials & Interfaces

Photodetector Based on Vertically Aligned PtSe2/GaAs Heterojunction. Advanced Functional Materials 2018, 28, 1705970-170581. 16.

Zeng, L.; Lin, S.; Lou, Z.; Yuan, H.; Long, H.; Li, Y.; Lu, W.; Lau, S. P.; Wu, D.; Tsang,

Y. H., Ultrafast and Sensitive Photodetector Based on a PtSe2/Silicon Nanowire Array Heterojunction with a Multiband Spectral Response from 200 to 1550 Nm. NPG Asia Materials 2018, 10, 352-362. 17.

Zhang, Z.-X.; Long-Hui, Z.; Tong, X.-W.; Gao, Y.; Xie, C.; Tsang, Y. H.; Luo, L.-B.;

Wu, Y.-C., Ultrafast, Self-Driven, and Air-Stable Photodetectors Based on Multilayer PtSe2/Perovskite Heterojunctions. The Journal of Physical Chemistry Letters 2018, 9, 1185-1194. 18.

AlMutairi, A.; Yin, D.; Yoon, Y., PtSe2 Field-Effect Transistors: New Opportunities for

Electronic Devices. IEEE Electron Device Letters 2018, 39, 151-154. 19.

Zhao, Y.; Qiao, J.; Yu, Z.; Yu, P.; Xu, K.; Lau, S. P.; Zhou, W.; Liu, Z.; Wang, X.; Ji, W.;

Chai, Y., High-Electron-Mobility and Air-Stable 2D Layered PtSe2 FETs. Advanced Materials 2016, 29, 1604230-1604240. 20.

Yim, C.; Passi, V.; Lemme, M. C.; Duesberg, G. S.; Ó Coileáin, C.; Pallecchi, E.; Fadil,

D.; McEvoy, N., Electrical Devices from Top-Down Structured Platinum Diselenide Films. npj 2D Materials and Applications 2018, 2, 5-12. 21.

Huang, H.; Zhou, S.; Duan, W., Type-Ii Dirac Fermions in the PtSe2 Class of Transition

Metal Dichalcogenides. Physical Review B 2016, 94, 121117-121123. 22.

Wang, Y.; Li, L.; Yao, W.; Song, S.; Sun, J. T.; Pan, J.; Ren, X.; Li, C.; Okunishi, E.;

Wang, Y.-Q.; Wang, E.; Shao, Y.; Zhang, Y. Y.; Yang, H.-t.; Schwier, E. F.; Iwasawa, H.; Shimada, K.; Taniguchi, M.; Cheng, Z.; Zhou, S.; Du, S.; Pennycook, S. J.; Pantelides, S. T.;

31 ACS Paragon Plus Environment

ACS Applied Materials & Interfaces 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

Gao, H.-J., Monolayer PtSe2, a New Semiconducting Transition-Metal-Dichalcogenide, Epitaxially Grown by Direct Selenization of Pt. Nano Letters 2015, 15, 4013-4018. 23.

Zhuang, H. L.; Hennig, R. G., Computational Search for Single-Layer Transition-Metal

Dichalcogenide Photocatalysts. The Journal of Physical Chemistry C 2013, 117, 20440-20445. 24.

Zhang, W.; Huang, Z.; Zhang, W.; Li, Y., Two-Dimensional Semiconductors with

Possible High Room Temperature Mobility. Nano Research 2014, 7, 1731-1737. 25.

Wang, Z.; Li, Q.; Besenbacher, F.; Dong, M., Facile Synthesis of Single Crystal PtSe2

Nanosheets for Nanoscale Electronics. Advanced Materials 2016, 28, 10224-10229. 26.

Radisavljevic, B.; Radenovic, A.; Brivio, J.; Giacometti, V.; Kis, A., Single-Layer MoS2

Transistors. Nature Nanotechnology 2011, 6, 147-151. 27.

Qiao, J.; Kong, X.; Hu, Z.-X.; Yang, F.; Ji, W., High-Mobility Transport Anisotropy and

Linear Dichroism in Few-Layer Black Phosphorus. Nature Communications 2014, 5, 4475-4482. 28.

Wood, J. D.; Wells, S. A.; Jariwala, D.; Chen, K.-S.; Cho, E.; Sangwan, V. K.; Liu, X.;

Lauhon, L. J.; Marks, T. J.; Hersam, M. C., Effective Passivation of Exfoliated Black Phosphorus Transistors against Ambient Degradation. Nano Letters 2014, 14, 6964-6970. 29.

Atkins, P.; De Paula, J., Physical Chemistry. Oxford university press: New York, 2014; p

63-252. 30.

Stolyarova, T. A.; Osadchii, E. G., Standard Enthalpies of Formation of Platinum

Selenides PtSe2 and PtSe0.8 (Pt5Se4) from Elements. Geochemistry International 2010, 48, 91-93. 31.

Lide, D. R., Standard Thermodynamic Properties of Chemical Substances. CRC

handbook of Chemistry and Physics 1992.

32 ACS Paragon Plus Environment

Page 32 of 37

Page 33 of 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

ACS Applied Materials & Interfaces

32.

Lee, Y.-H.; Zhang, X.-Q.; Zhang, W.; Chang, M.-T.; Lin, C.-T.; Chang, K.-D.; Yu, Y.-C.;

Wang, J. T.-W.; Chang, C.-S.; Li, L.-J.; Lin, T.-W., Synthesis of Large-Area MoS2 Atomic Layers with Chemical Vapor Deposition. Advanced Materials 2012, 24, 2320-2325. 33.

Li, X. L.; Li, Y. D., Formation of Mos2 Inorganic Fullerenes (IFs) by the Reaction of

MoO3 Nanobelts and S. Chemistry – A European Journal 2003, 9, 2726-2731. 34.

Islam, M. A.; Church, J.; Han, C.; Chung, H.-S.; Ji, E.; Kim, J. H.; Choudhary, N.; Lee,

G.-H.; Lee, W. H.; Jung, Y., Noble Metal-Coated MoS2 Nanofilms with Vertically-Aligned 2D Layers for Visible Light-Driven Photocatalytic Degradation of Emerging Water Contaminants. Scientific reports 2017, 7, 14944-14944. 35.

Jung, Y.; Shen, J.; Liu, Y.; Woods, J. M.; Sun, Y.; Cha, J. J., Metal Seed Layer

Thickness-Induced Transition from Vertical to Horizontal Growth of MoS2 and WS2. Nano Letters 2014, 14, 6842-6849. 36.

Yim, C.; Lee, K.; McEvoy, N.; O’Brien, M.; Riazimehr, S.; Berner, N. C.; Cullen, C. P.;

Kotakoski, J.; Meyer, J. C.; Lemme, M. C.; Duesberg, G. S., High-Performance Hybrid Electronic Devices from Layered PtSe2 Films Grown at Low Temperature. ACS Nano 2016, 10, 9550-9558. 37.

Su, T.-Y.; Medina, H.; Chen, Y.-Z.; Wang, S.-W.; Lee, S.-S.; Shih, Y.-C.; Chen, C.-W.;

Kuo, H.-C.; Chuang, F.-C.; Chueh, Y.-L., Phase-Engineered PtSe2-Layered Films by a PlasmaAssisted Selenization Process toward All PtSe2-Based Field Effect Transistor to Highly Sensitive, Flexible, and Wide-Spectrum Photoresponse Photodetectors. Small 2018, 14, 1800032-1800042. 38.

Xie, C.; Zeng, L.; Zhang, Z.; Tsang, Y.-H.; Luo, L.; Lee, J.-H., High-Performance

Broadband Heterojunction Photodetectors Based on Multilayered PtSe2 Directly Grown on a Si Substrate. Nanoscale 2018, 10, 15285-15293.

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39.

Wagner, S.; Yim, C.; McEvoy, N.; Kataria, S.; Yokaribas, V.; Kuc, A.; Pindl, S.; Fritzen,

C.-P.; Heine, T.; Duesberg, G. S.; Lemme, M. C., Highly Sensitive Electromechanical Piezoresistive Pressure Sensors Based on Large-Area Layered PtSe2 Films. Nano Letters 2018, 18, 3738-3745. 40.

Lin, S.; Liu, Y.; Hu, Z.; Lu, W.; Mak, C. H.; Zeng, L.; Zhao, J.; Li, Y.; Yan, F.; Tsang, Y.

H.; Zhang, X.; Lau, S. P., Tunable Active Edge Sites in PtSe2 Films Towards Hydrogen Evolution Reaction. Nano Energy 2017, 42, 26-33. 41.

Sajjad, M.; Singh, N.; Schwingenschlögl, U., Strongly Bound Excitons in Monolayer

PtS2 and PtSe2. Applied Physics Letters 2018, 112, 043101-043106. 42.

Maria, O. B.; Niall, M.; Carlo, M.; Jian-Yao, Z.; Nina, C. B.; Jani, K.; Kenan, E.;

Timothy, J. P.; Jannik, C. M.; Chanyoung, Y.; Mohamed, A.; Toby, H.; John, F. D.; Stefano, S.; Georg, S. D., Raman Characterization of Platinum Diselenide Thin Films. 2D Materials 2016, 3, 021004-021028. 43.

Hu, S. Y.; Liang, C. H.; Tiong, K. K.; Lee, Y. C.; Huang, Y. S., Preparation and

Characterization of Large Niobium-Doped MoSe2 Single Crystals. Journal of Crystal Growth 2005, 285, 408-414. 44.

Lee, C.; Yan, H.; Brus, L. E.; Heinz, T. F.; Hone, J.; Ryu, S., Anomalous Lattice

Vibrations of Single- and Few-Layer MoS2. ACS Nano 2010, 4, 2695-2700. 45.

Molina-Sánchez, A.; Wirtz, L., Phonons in Single-Layer and Few-Layer MoS2 and WS2.

Physical Review B 2011, 84, 155413-155421. 46.

Berkdemir, A.; Gutiérrez, H. R.; Botello-Méndez, A. R.; Perea-López, N.; Elías, A. L.;

Chia, C.-I.; Wang, B.; Crespi, V. H.; López-Urías, F.; Charlier, J.-C.; Terrones, H.; Terrones, M.,

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Page 34 of 37

Page 35 of 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

ACS Applied Materials & Interfaces

Identification of Individual and Few Layers of WS2 Using Raman Spectroscopy. Scientific Reports 2013, 3, 1755-1763. 47.

Saito, R.; Tatsumi, Y.; Huang, S.; Ling, X.; Dresselhaus, M. S., Raman Spectroscopy of

Transition Metal Dichalcogenides. Journal of Physics: Condensed Matter 2016, 28, 353002353040. 48.

Kong, D.; Wang, H.; Cha, J. J.; Pasta, M.; Koski, K. J.; Yao, J.; Cui, Y., Synthesis of

MoS2 and MoSe2 Films with Vertically Aligned Layers. Nano Letters 2013, 13, 1341-1347. 49.

Li, H.; Wu, H.; Yuan, S.; Qian, H., Synthesis and Characterization of Vertically Standing

MoS2 Nanosheets. Scientific Reports 2016, 6, 21171-21180. 50.

Yu, X.; Yu, P.; Wu, D.; Singh, B.; Zeng, Q.; Lin, H.; Zhou, W.; Lin, J.; Suenaga, K.; Liu,

Z.; Wang, Q. J., Atomically thin Noble Metal Dichalcogenide: A Broadband Mid-Infrared Semiconductor. Nature Communications 2018, 9, 1545-1554. 51.

Streetman, B. G., Solid State Electronic Devices, 4th Ed. Prentice Hall: Englewood Cliffs

1995. 52.

Zhao, Y.; Qiao, J.; Yu, P.; Hu, Z.; Lin, Z.; Lau, S. P.; Liu, Z.; Ji, W.; Chai, Y.,

Extraordinarily Strong Interlayer Interaction in 2D Layered PtS2. Advanced Materials 2016, 28, 2399-2407. 53.

Kresse, G.; Furthmüller, J., Efficient Iterative Schemes for Ab Initio Total-Energy

Calculations Using a Plane-Wave Basis Set. Physical Review B 1996, 54, 11169-11186. 54.

Angelica, A.; Santosh, K. C.; Xin, P.; Ning, L.; Stephen, M.; Xiaoye, Q.; Francis de, D.;

Rafik, A.; Jiyoung, K.; Moon, J. K.; Kyeongjae, C.; Robert, M. W., HfO2 on UV–O3 Exposed Transition Metal Dichalcogenides: Interfacial Reactions Study. 2D Materials 2015, 2, 014004014014.

35 ACS Paragon Plus Environment

ACS Applied Materials & Interfaces 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

55.

Zheng, W.; Huang, W.; Gao, F.; Yang, H.; Dai, M.; Liu, G.; Yang, B.; Zhang, J.; Fu, Y.

Q.; Chen, X.; Qiu, Y.; Jia, D.; Zhou, Y.; Hu, P., Kirigami-Inspired Highly Stretchable Nanoscale Devices Using Multidimensional Deformation of Monolayer MoS2. Chemistry of Materials 2018, 30, 6063-6070. 56.

Choudhary, N.; Chung, H.-S.; Kim, J. H.; Noh, C.; Islam, M. A.; Oh, K. H.; Coffey, K.;

Jung, Y.; Jung, Y., Strain-Driven and Layer-Number-Dependent Crossover of Growth Mode in Van Der Waals Heterostructures: 2D/2D Layer-by-Layer Horizontal Epitaxy to 2D/3D Vertical Reorientation. Advanced Materials Interfaces 2018, 5, 1800382-1800391. 57.

Kresse, G.; Joubert, D., From Ultrasoft Pseudopotentials to the Projector Augmented-

Wave Method. Physical Review B 1999, 59, 1758-1775. 58.

Perdew, J. P.; Burke, K.; Ernzerhof, M., Generalized Gradient Approximation Made

Simple. Physical Review Letters 1996, 77, 3865-3868. 59.

Perdew, J. P.; Burke, K.; Ernzerhof, M., Generalized Gradient Approximation Made

Simple. Physical Review Letters 1997, 78, 1396-1396.

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