Comparison of thermal conductivity,
Abstract
Transition metal dichalcogenides (TMDCs) are emerging to be an exciting class of 2D materials apart from graphene or hexagonal boron nitride (h-BN). They are a class of layered materials that exhibit inspiring properties which are worth exploring, among them PtSe2 is fairly a new addition. Although bulk PtSe2 was first synthesized more than a century ago, the study of its layer-dependent properties is still at a nascent stage. The monolayer of PtSe2 exhibits a band gap between 1.2 and 1.8 eV, the band gap starts to decrease with an increase in the number of layers thus transforming into semimetal type. Among all other 2D materials it shows the highest electron mobility of about 3000 cm2 V−1 s−1 and unlike other TMDCs, it is strikingly stable in ambient conditions. Owing to its stability and tunable properties, it has great potential in the fields of optoelectronics, spintronics, sensorics, and many more. In this book chapter, we report the thickness dependent spectroscopic properties of mechanically exfoliated PtSe2. We have explored low temperature Raman spectroscopy as well as polarized Raman spectroscopy to study in detail the vibrational properties of PtSe2. Raman spectroscopy is also employed to determine its thermal conductivity. We hope that this work will provide a fresh overview of PtSe2 from a spectroscopic perspective.
Keywords
- transition metal dichalcogenides
- PtSe2
- raman spectroscopy
- electronic band structure
- thermal conductivity
1. Introduction
Once a forbidden material, one atom thick material came into existence with the discovery of graphene in 2004 by Novoselov et al. [1]. Unsurprisingly due to the unique properties and momentous potential of 2D materials, the research world jumped into the foray. Interestingly the term “graphene” was coined in 1986 by Boehm and the electronic band structure of single layer graphite is studied since 1942 [2]. The surge of discovery didn’t stop with graphene, it gathered pace, and “2D materials” like
The 1T phase of PtSe2 belongs to space group P
In monolayer 1T-PtSe2 phase the bonding is completely covalent in nature with no net transfer of charge between the bonded atoms. The work function of single layer PtSe2 is 5.36 eV and the values for other dichalcogenides like MoSe2 and WSe2 are 4.57 and 4.21 eV [8, 11]. The monolayer behaves as a semiconductor whereas the bulk behaves as a semi-metal [12, 13]. The phonon spectrum of mono layer 1T-PtSe2 consists of nine phonon modes out of which six are optical and three are acoustic. Figure 2a shows the phonon modes in 1L1 T-PtSe2. The six optical modes can be decomposed into - Γ = 2
Figure 3 shows the Raman spectra of both bilayer and multilayer (~5 nm thick) CVD grown PtSe2 [14]. In bilayer PtSe2, two prominent peaks are observed which are centred at 179 and 207 cm−1. These peaks are associated with first order phonon emission of in-plane and out of plane vibrational modes i.e.
2. Density functional theory study of layered PtSe2
We employed density functional theory (DFT) to calculate the electronic band structure and density of states of mono layer, bi-layer, tri-layer, and bulk 1T -phase PtSe2. This section deals with the theoretical calculations. DFT is a quantum modeling method used to investigate the properties of chemical systems, including atoms and molecules (i.e., many body systems), particularly the electronic structure properties. It is an ab inito method for solving the Schrodinger equations for many-electron systems which are defined by the electron density. The approach taken is, instead of using a many-body wave function, one-body density is used as the fundamental variable. Since the electron density
2.1 Computational methods
All the computational calculations were performed using the DFT with the projector augmented wave (PAW) pseudopotentials available with quantum-espresso [18]. Which is an integrated suite of open-source codes for the electronic structure calculation and materials modeling at the nanoscale. We used the generalized gradient approximation (GGA) of the Perdew-Burke-Ernzerhof (PBE) functional for the calculation of exchange and correlation potential. The van der Waals correction for the layered structures was taken into account using the DFT-D2 method as proposed by Grimme [19]. The arrangement of layers was taken such that it has the lowest ground state energy value and the top-to-top (AA) stacking order is the most favorable one with the interlayer distance calculated to be 2.44 Å. The kinetic energy cut-off for a plane-wave basis set was taken to be 800 eV.
The convergence criteria for self-consistent calculations for electronic structures were set to 10−6 eV. For the optimized geometrical configurations, the energy convergence criterion was set to 10−5 eV, structure relaxations were conducted until the residual force acting on each atom is less than 0.01 eV/Å and pressure values less than 1 kbar. The sampling of the first Brillouin zone was done using Г-centered
2.2 Structure and electronic properties
The bulk phase of PtSe2 has 1T phase with tetragonal symmetry having space group P-3 m1 and the lattice constant, after optimization, found to be
Figure 4 shows the electronic band structure of 1L,2L, 3L and bulk PtSe2.The electronic structure calculations using the PBE functional show the transition from semiconductor to (semi)metal behavior of the material. The calculated bandgap of monolayer is around 1.39 eV, close to the experimental value [20]. While moving from monolayer to bilayer, the electronic band gap rapidly decreases to 0.38 eV. It is also found that PtSe2 crystals having a thickness larger than two layers exhibit metallic behavior. Looking at the band structures, one can see that 1T-PtSe2 monolayer has its valence band maximum (VBM) at Г point and conduction band minimum (CBM) within Г-M point. While going from monolayer to bilayer and higher layers, we observe that position of CBM at Г-M point is fixed and VBM shifted from Г point to within K-Г high symmetry point. The reason behind this shift might be due to the non-periodicity of layered structure along the growth direction which is different from the band structure of bulk 3D structure of same material, as the energy band structure is strongly dependent on the crystal periodicity. The decrease in band energy of CB states and increase in VB states leads to metallization starting from trilayer [21, 22].
The DOS variation with different layers is shown in Figure 5a–d. In the DOS plots, for monolayer (Figure 5a), peak appears for the VBM, depicting a greater number of bands near the VBM, and flat near 0 eV. For the bilayer (Figure 5b), the peak disappears near the VBM, where the band involves two peaks near Г point. This remains until peak appears around fermi energy when it comes to more than three layers. It is also noticed that DOS under VBM is small for multilayers due to the large splitting between the first valence band with the second valence band [23, 24]. In this study, we were able to observe an increase in band gap with the decrease in layer numbers from bulk down to monolayer structures. Unlike other TMDs like MX2 (M = Mo and W; X = S and Se) which are direct bandgap semiconductors at monolayer, there is no shift from indirect-to-direct band gap with decrease in number layers from bulk to monolayer limit. This may be due to the difference in crystal structure i.e. – MX2 has 2H structure and PtSe2 has 1T structure. We were able to observe the inverse relationship between the band gap and number of layers, which is governed by factors such as quantum confinement effect and interlayer interaction.
3. In plane thermal conductivity of layered PtSe2
The thermal conductivity of layered materials can be measured by employing Raman spectroscopy which is non-destructive in nature. It is fairly common to employ this method to measure the in-plane thermal conductivity in many 2D materials like graphene,
We used three differently thick multilayer flakes (named as flake 1, flake 2 and flake 3) for this study. The Raman spectra of flake 1 at different laser power and at different temperatures is depicted in Figure 6a and b respectively. The laser power was varied from 0.227 to 1.08 mW whereas the temperature was varied from 107 to 293 K. Both the in-plane (
The variation of the
So, the power coefficient is given by
The power coefficient of both the
Where
where
The slope of linear fit corresponding to
We investigated another two flakes named flake 2 and flake 3. The Raman spectra of flake 2 at different laser power and at different temperature is shown in Figure 8a and b respectively. Figure 8c shows the AFM image, with the optical micrograph and height profile in the inset. The thickness of flake 2 as derived from the height profile is 59 nm ±2 nm. Here too the absence of the LO mode is due to the bulk nature of the flake. The evolution of the
The plots are linearly fitted as discussed in previous section. Employing Eq. (3) we find the thermal conductivity of flake 2 is 40.42 W/mK ± 16.37 W/mK. Figure 10a and b shows the AFM, optical micrographs and evolution of the
Table 1 shows the comparison between the thermal conductivity,
Flake | ||||
---|---|---|---|---|
1 | 42 | −0.017 | −1.654 | 38.90 |
2 | 59 | −0.011 | −0.734 | 40.42 |
3 | 119 | −0.015 | −0.511 | 39.30 |
4. Effect of laser polarization over different thicknesses of PtSe2
The state of laser polarisation during Raman spectroscopy affects the two prominent modes of vibration i.e.,
5. Conclusion
2D PtSe2 is an excellent material, its unique layer dependent properties. The fact that it is stable under ambient conditions unlike most other TMDCs makes it a great choice for scientific study. This book chapter gives an overview of the layer dependent properties of PtSe2 like band gap, density of states and thermal conductivity. DFT was employed to study the electronic band structure of 1L, 2L, 3L and bulk PtSe2, which showed that there is a drastic reduction of band gap when moving from monolayer to bilayer.
Optothermal method by using Raman spectroscopy was employed to explore the thermal conductivity of PtSe2 flakes. The Raman study was carried out by both varying the power and temperature of the sample. The incident laser power was varied from 0.25 to 2.27 mW and the temperature of the sample was varied from 107 to 353 K, the power coefficient (
Acknowledgments
PKN acknowledges the financial support from the Department of Science and Technology, Government of India (DST-GoI), with sanction Order No. SB/S2/RJN-043/2017 under Ramanujan Fellowship. This work was also partially supported by Indian Institute of Technology Madras to the 2D Materials Research and Innovation Group and Micro-Nano and Bio-Fluidics Group under the funding for Institutions of Eminence scheme of Ministry of Education, GoI [Sanction. No: 11/9/2019-U.3 (A)]
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