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Sujata KM, Chauhan P, Verma N, Solanki RG, Kumar A. Two-dimensional BiSbTeX 2 (X = S, Se, Te) and their Janus monolayers as efficient thermoelectric materials. Phys Chem Chem Phys 2024; 26:27163-27175. [PMID: 39434690 DOI: 10.1039/d4cp02750g] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2024]
Abstract
Today, there is a huge need for highly efficient and sustainable energy resources to tackle environmental degradation and energy crisis. We have analyzed the electronic, mechanical and thermoelectric (TE) characteristics of two-dimensional (2D) BiSbTeX2 (X = S, Se and Te) and Janus BiSbTeXY (X/Y = S, Se and Te) monolayers by implementing first principles simulations. These monolayers' dynamic stability and thermal stability have been demonstrated through phonon dispersion spectra and ab initio molecular dynamics (AIMD) simulations, respectively. The band structure of these monolayers can be tuned by applying uniaxial and biaxial strains. The investigated lattice thermal conductivity (κl) for these monolayers lies between 0.23 and 0.37 W m-1 K-1 at 300 K. For a more precise calculation of the scattering rate, we implemented electron-phonon coupling (EPC) and spin-orbit coupling effects to calculate the transport properties. For p(n)-type carriers, the power factor of these monolayers is predicted to be as high as 2.08 × 10-3 W m-1 K-2 and (0.47 × 10-3 W m-1 K-2) at 300 K. The higher thermoelectric figure of merit (ZT) of p-type carriers at 300 K is obtained because of their very low value of κl and high power factor. Our theoretical investigation predicts that these monolayers can be potential candidates for fabricating highly efficient thermoelectric power generators.
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Affiliation(s)
- K M Sujata
- Department of Physics, Central University of Punjab, Bathinda, 151401, India.
- Department of Physics, Dr. Hari Singh Gour University, Sagar, MP, 470003, India.
| | - Poonam Chauhan
- Department of Physics, Central University of Punjab, Bathinda, 151401, India.
| | - Nidhi Verma
- Department of Physics, Central University of Punjab, Bathinda, 151401, India.
| | - Rekha Garg Solanki
- Department of Physics, Dr. Hari Singh Gour University, Sagar, MP, 470003, India.
| | - Ashok Kumar
- Department of Physics, Central University of Punjab, Bathinda, 151401, India.
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Wei Q, He G, Gan S, Huang S, Chen X, Fu J, Wang N. Monolayer 1T-Ag 6S 2 with Excellent Thermoelectric Properties. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2024; 40:9775-9784. [PMID: 38664863 DOI: 10.1021/acs.langmuir.4c00868] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/08/2024]
Abstract
We obtained a new material called monolayer 1T-Ag6S2 by replacing metal atoms in 1T phase transition-metal dichalcogenide sulfides (TMDs) with octahedral Ag6 clusters. Subsequently, the thermoelectric transport properties of monolayer 1T-Ag6S2 were systematically investigated using first-principles calculations and the generalized gradient approximation (GGA-PBE) exchange correlation functional. The findings demonstrate that monolayer 1T-Ag6S2 displays characteristics of a wide-bandgap semiconductor, with a bandgap of 2.48 eV. Notably, the incorporation of Ag6 clusters disrupts the structural symmetry, effectively enhancing the electronic structure and phonon properties of the material. Due to the flat valence band near the Fermi level, the extended relaxation time of the hole results in a greater effective mass compared to the electron, leading to a significant increase in the Seebeck coefficient. Under optimal doping conditions, the power factor of monolayer 1T-Ag6S2 can achieve 14.9 mW/mK2 at 500 K. The intricate crystal structure induces phonon path bending, reduces the overall frequency of phonon vibrations (<10 THz), and causes hybridization of low-frequency optical and acoustic branches, resulting in remarkably low lattice thermal conductivity (0.20 and 0.17 W/mK along the x and y axes at 500 K, respectively). The monolayer 1T-Ag6S2 demonstrates a remarkably high figure of merit ZT of 3.14 (3.15) on the x (y) axis at 500 K, significantly higher than those of conventional TMD materials. Such excellent thermoelectric properties suggest that monolayer 1T-Ag6S2 is a promising thermoelectric (TE) material. Our work reveals the deep mechanism of cluster substitution to optimize the thermoelectric properties of materials and provides a useful reference for subsequent research.
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Affiliation(s)
- Qinqin Wei
- College of Science, Key Laboratory of High-Performance Scientific Computation, Xihua University, Chengdu 610039, China
| | - Guiling He
- College of Science, Key Laboratory of High-Performance Scientific Computation, Xihua University, Chengdu 610039, China
| | - Siyu Gan
- College of Science, Key Laboratory of High-Performance Scientific Computation, Xihua University, Chengdu 610039, China
| | - Sizhao Huang
- School of Science, Harbin University of Science and Technology, Harbin 150006, China
| | - Xihao Chen
- School of Materials Science and Engineering, Chongqing University of Arts and Sciences, Chongqing 402160, China
| | - Jia Fu
- College of Science, Key Laboratory of High-Performance Scientific Computation, Xihua University, Chengdu 610039, China
| | - Ning Wang
- College of Science, Key Laboratory of High-Performance Scientific Computation, Xihua University, Chengdu 610039, China
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3
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Wu YL, Yang Q, Geng HY, Cheng Y. The thermoelectric properties of CdBr, CdI, and Janus Cd 2BrI monolayers with low lattice thermal conductivity. Phys Chem Chem Phys 2024; 26:6956-6966. [PMID: 38334722 DOI: 10.1039/d3cp05613a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/10/2024]
Abstract
The investigation and development of high thermoelectric value materials has become a research hotspot in recent years. In this work, based on the density functional theory on the Perdew-Burke-Ernzerhof (GGA-PBE) level, the thermoelectric properties of transition metal halides CdBr, Janus Cd2BrI, and CdI monolayers have been systematically investigated using Boltzmann transport theory. The calculation of the electronic band structure shows that these three materials have indirect band gap semiconductor properties. For carrier transport, the electron mobilities for CdBr, Janus Cd2BrI, and CdI monolayers are found to be 74, 16, 21 cm2 s-1 V-1 for p-type doping and 116, 102, 78 cm2 s-1 V-1 for n-type doping. Regarding their phonon transport, the CdBr, Cd2BrI, and CdI monolayers all have very low lattice thermal conductivity (4.78, 2.46, and 1.65 W m-1 K-1, respectively) that decreases with increasing temperature, which is favorable for obtaining large zT values. The electrical transport results show that the performance of p-type doping is better than that of n-type doping. At 300 K, the Seebeck coefficients of p-type doping for the CdBr, Cd2BrI, and CdI monolayers are 217.72, 246.43, and 226.24 μV K-1, respectively. In addition, we predict that the zT values of the CdBr, Cd2BrI, and CdI monolayers are 0.62, 1.64, and 0.87 for p-type doping at 300 K respectively. The zT values increase with the increase of temperature. In particular, the Janus Cd2BrI monolayer has a zT value of 3.03 at 600 K. These results suggest that all these materials can be good candidates for thermoelectric materials.
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Affiliation(s)
- Yan-Ling Wu
- College of Physics, Institute of Atomic and Molecular Physics, Sichuan University, Chengdu 610065, China.
| | - Qiu Yang
- College of Physics, Institute of Atomic and Molecular Physics, Sichuan University, Chengdu 610065, China.
| | - Hua-Yun Geng
- National Key Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, CAEP, Mianyang 621900, China
| | - Yan Cheng
- College of Physics, Institute of Atomic and Molecular Physics, Sichuan University, Chengdu 610065, China.
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Cao SH, Zhang T, Geng HY, Chen XR. The coexistence of high piezoelectricity and superior optical absorption in Janus Bi 2X 2Y (X = Te, Se; Y = Te, Se, S) monolayers. Phys Chem Chem Phys 2024; 26:4629-4642. [PMID: 38251770 DOI: 10.1039/d3cp05514k] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2024]
Abstract
Bismuth chalcogenide and its derivatives have been attracting attention in various fields as semiconductors or topological insulators. Inspired by the high piezoelectric properties of Janus Bi2TeSeS monolayer and the excellent optical absorption properties of the Bi2X3 (X = Te, Se, S) monolayers, we theoretically predicted four new-type two-dimensional (2D) monolayers Janus Bi2X2Y (X = Te, Se; Y = Te, Se, S) using the first principles combined with density functional theory (DFT). The thermal, dynamic, and mechanical stabilities of Janus Bi2X2Y monolayers were confirmed based on ab initio molecular dynamics (AIMD) simulations, phonon dispersion, and elastic constants calculations. Their elastic properties, band structures, piezoelectric, and optical properties were systematically investigated. It was found that Janus Bi2X2Y monolayers have a typical Mexican hat-shaped valence band edge structure and, therefore, have a ring-shaped flat band edge, which results in their indirect band gaps. The results show that Janus Bi2X2Y monolayers are semiconductors with moderate band gaps (0.62-0.98 eV at the HSE + SOC level). After considering the electron-phonon renormalization (EPR), the band gaps are reduced by less than 5% at 0 K under the zero-point renormalization (ZPR) and further reduced by approximately 10% at 300 K. Besides, Janus Bi2X2Y monolayers also exhibit excellent optical absorption properties in the blue-UV light region, with the peak values at the order of 8 × 105 cm-1. Particularly, the Janus Bi2Te2S monolayer was found to exhibit a piezoelectric strain coefficient d11 of up to 20.30 pm V-1, which is higher than that of most of the 2D materials. Our results indicate that Janus Bi2X2Y monolayers could be promising candidates in solar cells, optical absorption, and optoelectronic devices; especially, a Janus Bi2Te2S monolayer can also be an excellent piezoelectric material with great prospects in the fields of mechanical and electrical energy conversion.
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Affiliation(s)
- Shu-Hao Cao
- College of Physics, Institute of Atomic and Molecular Physics, Sichuan University, Chengdu 610064, China.
| | - Tian Zhang
- College of Physics and Electronic Engineering, Sichuan Normal University, Chengdu 610066, China.
| | - Hua-Yun Geng
- National Key Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, CAEP, Mianyang 621900, China
| | - Xiang-Rong Chen
- College of Physics, Institute of Atomic and Molecular Physics, Sichuan University, Chengdu 610064, China.
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Zhang K, Yang R, Sun Z, Chen X, Huang S, Wang N. Layer-dependent excellent thermoelectric materials: from monolayer to trilayer tellurium based on DFT calculation. Front Chem 2023; 11:1295589. [PMID: 37901161 PMCID: PMC10602905 DOI: 10.3389/fchem.2023.1295589] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/16/2023] [Accepted: 09/27/2023] [Indexed: 10/31/2023] Open
Abstract
Monoelemental two-dimensional (2D) materials, which are superior to binary and ternary 2D materials, currently attract remarkable interest due to their fascinating properties. Though the thermal and thermoelectric (TE) transport properties of tellurium have been studied in recent years, there is little research about the thermal and TE properties of multilayer tellurium with interlayer interaction force. Herein, the layer modulation of the phonon transport and TE performance of monolayer, bilayer, and trilayer tellurium is investigated by first-principles calcuations. First, it was found that thermal conductivity as a function of layer numbers possesses a robust, unusually non-monotonic behavior. Moreover, the anisotropy of the thermal transport properties of tellurium is weakened with the increase in the number of layers. By phonon-level systematic analysis, we found that the variation of phonon transport under the layer of increment was determined by increasing the phonon velocity in specific phonon modes. Then, the TE transport properties showed that the maximum figure of merit (ZT) reaches 6.3 (p-type) along the armchair direction at 700 K for the monolayer and 6.6 (p-type) along the zigzag direction at 700 K for the bilayer, suggesting that the TE properties of the monolayer are highly anisotropic. This study reveals that monolayer and bilayer tellurium have tremendous opportunities as candidates in TE applications. Moreover, further increasing the layer number to 3 hinders the improvement of TE performance for 2D tellurium.
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Affiliation(s)
- Kexin Zhang
- Air Traffic Control and Navigation College, Air Force Engineering University, Xi’an, China
| | - Rennong Yang
- Air Traffic Control and Navigation College, Air Force Engineering University, Xi’an, China
| | - Zhehao Sun
- Research School of Chemistry, Australian National University, Canberra, ACT, Australia
| | - Xihao Chen
- School of Materials Science and Engineering, Chongqing University of Arts and Sciences, Chongqing, China
| | - Sizhao Huang
- School of Science, Harbin University of Science and Technology, Harbin, China
| | - Ning Wang
- Key Laboratory of High-Performance Scientific Computation, School of Science, Xihua University, Chengdu, China
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai, China
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Tang S, Wan D, Bai S, Fu S, Wang X, Li X, Zhang J. Enhancing phonon thermal transport in 2H-CrX 2 (X = S and Se) monolayers through robust bonding interactions. Phys Chem Chem Phys 2023; 25:22401-22414. [PMID: 37581216 DOI: 10.1039/d3cp03420h] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 08/16/2023]
Abstract
Inspired by the groundbreaking discovery of the 2H-MoS2 monolayer with outstanding physical properties, the electronic structure, structural stability, and thermal transport of 2H-CrX2 (X = S and Se) monolayers are theoretically evaluated using density functional theory (DFT) calculations and semiempirical Boltzmann transport theory. The 2H-CrX2 (X = S and Se) monolayers are direct semiconductors with the bandgaps of 0.91 and 0.69 eV. The elastic modulus and phonon dispersion curve analysis show that the 2H-CrX2 (X = S and Se) monolayers possess excellent mechanical and dynamic stabilities on account of elastic constants satisfying the Born-Huang criterion and the absence of negative frequencies. The thermal stabilities of the 2H-CrX2 (X = S and Se) monolayers at 300 K are proved by ab initio molecular dynamics (AIMD) simulations, as evidenced by the slight changes in the structural evolution and small fluctuation in total energy. High thermal conductivities of 131.7 and 88.6 W m-1 K-1 are discovered for 2H-CrS2 and 2H-CrSe2 monolayers at 300 K. Further analysis of the phonon group velocity, phonon relaxation time, and Grüneisen parameter shows that the high lattice thermal conductivities of 2H-CrX2 (X = S and Se) monolayers could be attributed to the great bond strength, large Young's modulus, relatively small atomic mass, high phonon group velocity, and long phonon relaxation time. In addition, the various scattering mechanisms are further considered in the calculations of phonon thermal transport to evaluate the effect of the scattering rates of the 2H-CrS2 and 2H-CrSe2 monolayers on the lattice thermal conductivity, and the determinative role is found for the phonon boundary scattering. Our present study would not only offer a fundamental understanding of the thermal transport properties of the 2H-CrX2 (X = S and Se) monolayers, but also provide theoretical guidelines for the experimental investigation of thermal management materials with 2H-phase.
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Affiliation(s)
- Shuwei Tang
- College of Materials Science and Engineering, Liaoning Technical University, Zhonghua Road. #47, Fuxin, Liaoning, 123000, China.
- Faculty of Chemistry, Northeast Normal University, Changchun, Jilin, 130024, China
| | - Da Wan
- College of Materials Science and Engineering, Liaoning Technical University, Zhonghua Road. #47, Fuxin, Liaoning, 123000, China.
| | - Shulin Bai
- College of Materials Science and Engineering, Liaoning Technical University, Zhonghua Road. #47, Fuxin, Liaoning, 123000, China.
| | - Shengkai Fu
- College of Materials Science and Engineering, Liaoning Technical University, Zhonghua Road. #47, Fuxin, Liaoning, 123000, China.
| | - Xinyu Wang
- College of Materials Science and Engineering, Liaoning Technical University, Zhonghua Road. #47, Fuxin, Liaoning, 123000, China.
| | - Xiaodong Li
- College of Materials Science and Engineering, Liaoning Technical University, Zhonghua Road. #47, Fuxin, Liaoning, 123000, China.
| | - Jingyi Zhang
- College of Materials Science and Engineering, Liaoning Technical University, Zhonghua Road. #47, Fuxin, Liaoning, 123000, China.
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Cao SH, Zhang T, Hu CE, Chen XR, Geng HY. Electronic and thermoelectric properties of semiconducting Bi 2SSe 2 and Bi 2S 2Se monolayers with high optical absorption. Phys Chem Chem Phys 2022; 24:26753-26763. [DOI: 10.1039/d2cp03708d] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
Accurate effective mass via precise 3D-band calculations of two new 2D semiconductors Bi2SSe2 and Bi2S2Se with high optical absorption.
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Affiliation(s)
- Shu-Hao Cao
- Institute of Atomic and Molecular Physics, Sichuan University, Chengdu, 610065, China
| | - Tian Zhang
- College of Physics and Electronic Engineering, Sichuan Normal University, Hengdu, 610066, China
| | - Cui-E Hu
- College of Physics and Electronic Engineering, Chongqing Normal University, Chongqing, 400047, China
| | - Xiang-Rong Chen
- Institute of Atomic and Molecular Physics, Sichuan University, Chengdu, 610065, China
| | - Hua-Yun Geng
- National Key Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, CAEP, Mianyang, 621900, China
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8
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Excellent Room-Temperature Thermoelectricity of 2D GeP 3: Mexican-Hat-Shaped Band Dispersion and Ultralow Lattice Thermal Conductivity. Molecules 2021; 26:molecules26216376. [PMID: 34770785 PMCID: PMC8587316 DOI: 10.3390/molecules26216376] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/16/2021] [Revised: 10/15/2021] [Accepted: 10/19/2021] [Indexed: 11/16/2022] Open
Abstract
Although some atomically thin 2D semiconductors have been found to possess good thermoelectric performance due to the quantum confinement effect, most of their behaviors occur at a higher temperature. Searching for promising thermoelectric materials at room temperature is meaningful and challenging. Inspired by the finding of moderate band gap and high carrier mobility in monolayer GeP3, we investigated the thermoelectric properties by using semi-classical Boltzmann transport theory and first-principles calculations. The results show that the room-temperature lattice thermal conductivity of monolayer GeP3 is only 0.43 Wm−1K−1 because of the low group velocity and the strong anharmonic phonon scattering resulting from the disordered phonon vibrations with out-of-plane and in-plane directions. Simultaneously, the Mexican-hat-shaped dispersion and the orbital degeneracy of the valence bands result in a large p-type power factor. Combining this superior power factor with the ultralow lattice thermal conductivity, a high p-type thermoelectric figure of merit of 3.33 is achieved with a moderate carrier concentration at 300 K. The present work highlights the potential applications of 2D GeP3 as an excellent room-temperature thermoelectric material.
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Wu YY, Wei Q, Zou J, Yang H. Ultra-low thermal conductivity and high thermoelectric performance of monolayer BiP 3: a first principles study. Phys Chem Chem Phys 2021; 23:19834-19840. [PMID: 34525134 DOI: 10.1039/d1cp01383a] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The thermoelectric properties of monolayer triphosphide BiP3 are studied via first principles calculations and Boltzmann transport equation. First, the Seebeck coefficient, electrical conductivity and electron thermal conductivity at different temperatures are calculated using the Boltzmann transport equation with relaxation time approximation. It has been observed that BiP3 has a large power factor (265 × 10-4 W K-2 m-1, 700 K). Then, by analyzing the second-order interatomic force constant (IFCS), the atomic structure and phonon dispersion were studied, and the thermal conductivity of monolayer BiP3 was predicted in the temperature range of 300-800 K, and it was found that it had a very low thermal conductivity (2.13 W m-1 K-1) at room temperature. The thermal conductivity is mainly contributed by the branches of acoustics along in-plane transverse (TA). Finally, the maximum ZT value of monolayer BiP3 is 3.06 at 700 K, when the electron doping concentration is 2.35 × 1011 cm-2, which indicates that it is a promising thermoelectric material.
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Affiliation(s)
- Yi-Yuan Wu
- Engineering Research Center of Nuclear Technology Application, Ministry of Education, East China University of Technology, Nanchang 330013, China.,State Key Laboratory of Nuclear Resources and Environment, East China University of Technology, Nanchang, 330013, China
| | - Qianglin Wei
- Engineering Research Center of Nuclear Technology Application, Ministry of Education, East China University of Technology, Nanchang 330013, China.,State Key Laboratory of Nuclear Resources and Environment, East China University of Technology, Nanchang, 330013, China
| | - Jijun Zou
- Engineering Research Center of Nuclear Technology Application, Ministry of Education, East China University of Technology, Nanchang 330013, China.,State Key Laboratory of Nuclear Resources and Environment, East China University of Technology, Nanchang, 330013, China
| | - Hengyu Yang
- School of Materials Science and Engineering, Hunan University of Science and Technology, Xiangtan, 411201, China.
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Han D, Yang X, Du M, Xin G, Zhang J, Wang X, Cheng L. Improved thermoelectric properties of WS 2-WSe 2 phononic crystals: insights from first-principles calculations. NANOSCALE 2021; 13:7176-7192. [PMID: 33889870 DOI: 10.1039/d0nr09169c] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
Recently, two-dimensional transition metal dichalcogenide (TMDC) monolayers have attracted much attention owing to their excellent physical properties. In the present study, we systematically investigate the thermoelectric properties of different WS2-WSe2 phononic crystals by utilizing first-principles calculations. First, the thermal properties of all phononic crystals with superlattices (SL1 and SL2) and their individual components (WS2 and WSe2) are evaluated, in which the lattice thermal conductivities (kph) of WS2 and WSe2 monolayers present isotropic behaviors, while the values of SL1 and SL2 monolayers reveal weak anisotropic behaviors. It can be observed that the kph values of WS2 and WSe2 monolayers are larger than those of SL1 and SL2 monolayers, which can be attributed to the decreasing phonon group velocity and phonon lifetime. Moreover, we calculate the electronic band structures of all monolayers, indicating that all monolayers are semiconductors. Afterwards, the electrical conductivities, the Seebeck coefficients, the power factors, the electronic thermal conductivities, and the ZT values at different temperatures are evaluated. The ZTmax values of WS2, WSe2, SL1, and SL2 monolayers with p-type doping are 0.43, 0.37, 0.95, and 0.66 at 1000 K. It can be proved that the SL1 monolayer possesses the largest ZT, which is at least two times higher than those of the WS2 and WSe2 monolayer. Finally, we build two kinds of phononic crystals with periodic holes (PCH1 and PCH2) and evaluate the thermoelectric properties. It can be observed that the PCH2 structure shows the best thermoelectric performance. The ZTmax values of the PCH2 structure can reach 2.53 and 4.54 with p-type doping along the x and y directions, which are 2.66 and 6.75 times higher than those of the SL1 monolayer. This work provides a new strategy to obtain higher thermoelectric performance and demonstrates the potential applications of phononic crystals in TMDC-based nanoelectronic devices.
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Affiliation(s)
- Dan Han
- Institute of Thermal Science and Technology, Shandong University, Jinan 250061, Shandong Province, China.
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Ma J, Meng F, He J, Jia Y, Li W. Strain-Induced Ultrahigh Electron Mobility and Thermoelectric Figure of Merit in Monolayer α-Te. ACS APPLIED MATERIALS & INTERFACES 2020; 12:43901-43910. [PMID: 32870654 DOI: 10.1021/acsami.0c10236] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
In line with the classic phonon-glass electron-crystal (PGEC) paradigm, semiconducting and semimetallic multinary compounds remain the cornerstone of the state-of-the-art thermoelectric materials. By contrast, elemental PGEC is very rare. In this work, we report a thermoelectric study of monolayer α-Te by first-principles calculations and solving the parameter-free Boltzmann transport equation. It is found that monolayer α-Te possesses high electron mobility (about 2500 cm2 V-1 s-1) at room temperature due to small effective mass, low phonon frequencies, and thus a restricted phase space for electron-phonon scattering. In monolayer α-Te, the electrons near the conduction band edge are mainly scattered by the heavily populated quadratically dispersing out-of-plane acoustic (ZA) phonon modes. The thermoelectric figure of merit (ZT) for n-type monolayer α-Te is 0.55 at 300 K and 1.46 at 700 K. Notably, tensile strain stiffens the ZA modes, yielding a linear energy-momentum dispersion relation and the removal of the diverging thermal population of ZA phonons. Consequently, the electron mobility is enhanced. At a 4% tensile strain, the electron mobility can reach up to 8000 cm2 V-1 s-1 at room temperature while the thermal conductivity is almost unaffected, yielding a state-of-the-art ZT value of 0.94 and 2.03 in n-type monolayer α-Te at 300 and 700 K, respectively. For completeness, the thermoelectric study of p-type monolayer α-Te is also conducted. These results beckon further experiments toward high-performance α-Te-based thermoelectric materials via doping, alloying, and compositing.
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Affiliation(s)
- Jinlong Ma
- Institute for Advanced Study, Shenzhen University, Shenzhen 518060, China
- School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
| | - Fanchen Meng
- Department of Physics and Astronomy, Clemson University, Clemson, South Carolina 29634, United States
| | - Jian He
- Department of Physics and Astronomy, Clemson University, Clemson, South Carolina 29634, United States
| | - Yu Jia
- International Laboratory for Quantum Functional Materials of Henan, and School of Physics and Engineering, Zhengzhou University, Zhengzhou 450001, China
| | - Wu Li
- Institute for Advanced Study, Shenzhen University, Shenzhen 518060, China
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Sheng H, Zhu Y, Bai D, Wu X, Wang J. Thermoelectric properties of two-dimensional magnet CrI 3. NANOTECHNOLOGY 2020; 31:315713. [PMID: 32311678 DOI: 10.1088/1361-6528/ab8b0d] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
The thermoelectric, phonon transport, and electronic transport properties of two-dimensional magnet CrI3 are systematically investigated by combining density functional theory with Boltzmann transport theory. A low lattice thermal conductivity of 1.355 W m-1K-1 is presented at 300 K due to the low Debye temperature and phonon group velocity. The acoustic modes dominate the lattice thermal conductivity, and the longitudinal acoustic mode has the largest contribution of 42.31% on account of its relatively large phonon group velocity and phonon lifetime. The high band degeneracy and the peaky density of states near the conduction band minimum appear for the CrI3 monolayer, which is beneficial for forming a significantly increased Seebeck coefficient (1561 μV K-1). Furthermore, the thermoelectric figure of merit is calculated reasonably, and the value is 1.57 for the optimal n-type doping level at 900 K. N-type doping maintains a higher thermoelectric conversion efficiency than p-type doping throughout the temperature range, while the difference gradually increases as the temperature rises. Our investigation may provide some theoretical support for the application of the CrI3 monolayer in the thermoelectric field.
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Affiliation(s)
- Haohao Sheng
- School of Materials and Physics, China University of Mining and Technology, Xuzhou 221116, People's Republic of China
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Mohanta MK, Rawat A, Jena N, Ahammed R, De Sarkar A. Superhigh flexibility and out-of-plane piezoelectricity together with strong anharmonic phonon scattering induced extremely low lattice thermal conductivity in hexagonal buckled CdX (X =S, Se) monolayers. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2020; 32:355301. [PMID: 32340009 DOI: 10.1088/1361-648x/ab8d73] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/20/2020] [Accepted: 04/27/2020] [Indexed: 06/11/2023]
Abstract
Although CdX (X = S, Se) has been mostly studied in the field of photocatalysis, photovoltaics, their intrinsic properties, such as, mechanical, piezoelectric, electron and phonon transport properties have been completely overlooked in buckled CdX monolayers. Ultra-low lattice thermal conductivity [1.08 W m-1K-1(0.75 W m-1K-1)] and high p-type Seebeck coefficient [1300μV K-1(850μV K-1)] in CdS (CdSe) monolayers have been found in this work based on first-principles DFT coupled to semi-classical Boltzmann transport equations, combining both the electronic and phononic transport. The dimensionless thermoelectric figure of merit is calculated to be 0.78 (0.5) in CdS (CdSe) monolayers at room temperature, which is comparable to that of two-dimensional (2D) tellurene (0.8), arsenene and antimonene (0.8), indicating its great potential for applications in 2D thermoelectrics. Such a low lattice thermal conductivity arise from the participation of both acoustic [91.98% (89.22%)] and optical modes [8.02% (10.78%)] together with low Debye temperature [254 K (187 K)], low group velocity [4 km s-1(3 km s-1)] in CdS (CdSe) monolayers, high anharmonicity and short phonon lifetime. Substantial cohesive energy (∼4-5 eV), dynamical and mechanical stability of the monolayers substantiate the feasibility in synthesizing the single layers in experiments. The inversion symmetry broken along thezdirection causes out-of-plane piezoelectricity. |d33| ∼ 21.6 pm V-1, calculated in CdS monolayer is found to be the highest amongst structures having atomic-layer thickness. Superlow Young's modulus ∼41 N m-1(31 N m-1) in CdS (CdSe) monolayers, which is comparable to that of planar CdS (29 N m-1) and TcTe2(34 N m-1), is an indicator of its superhigh flexibility. Direct semiconducting band gap, high carrier mobility (∼500 cm2V-1s-1) and superhigh flexibility in CdX monolayers signify its gigantic potential for applications in ultrathin, stretchable and flexible nanoelectronics. The all-round properties can be synergistically combined together in futuristic applications in nano-piezotronics as well.
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Affiliation(s)
- Manish Kumar Mohanta
- Institute of Nano Science and Technology, Phase 10, Sector 64, Mohali, Punjab-160062, India
| | - Ashima Rawat
- Institute of Nano Science and Technology, Phase 10, Sector 64, Mohali, Punjab-160062, India
| | - Nityasagar Jena
- Institute of Nano Science and Technology, Phase 10, Sector 64, Mohali, Punjab-160062, India
| | - Raihan Ahammed
- Institute of Nano Science and Technology, Phase 10, Sector 64, Mohali, Punjab-160062, India
| | - Abir De Sarkar
- Institute of Nano Science and Technology, Phase 10, Sector 64, Mohali, Punjab-160062, India
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14
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Wang C, Gao G. Titanium nitride halides monolayers: promising 2D anisotropic thermoelectric materials. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2020; 32:205503. [PMID: 31978928 DOI: 10.1088/1361-648x/ab6f86] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
2D graphene-like thermoelectric materials have been extensively explored, however, the studies have mostly focused on the binary compounds and most of them exhibit isotropic electron and phonon transport properties. Here, we investigate the thermoelectric transport properties of ternary TiNX (X = F, Cl, Br) monolayers by using first-principles combined with the Boltzmann transport theory. Both electron and phonon anisotropic transport properties are found. The large p -type power factor and the low lattice thermal conductivity along the y direction give rise to better thermoelectric performance along the y direction than the x direction, and the highest ZT values at 500 K reach 1.00, 0.89 and 1.17 along the y direction in p -type doping for TiNF, TiNCl, and TiNBr monolayer, respectively. The anisotropy and the difference of lattice thermal conductivities among TiNX monolayers are discussed in terms of the group velocities, the phonon relaxation time and the three-phonon scattering phase space. These results indicate that TiNX monolayers are promising candidates for 2D anisotropic thermoelectric materials.
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Affiliation(s)
- Cong Wang
- School of Physics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
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15
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Liu Y, Xu Y, Ji Y, Zhang H. Monolayer Bi 2Se 3-xTe x: novel two-dimensional semiconductors with excellent stability and high electron mobility. Phys Chem Chem Phys 2020; 22:9685-9692. [PMID: 32329500 DOI: 10.1039/d0cp00729c] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Two-dimensional materials play a vital role in next-generation microelectronics, optoelectronics and flexible electronics due to their novel physical properties caused by quantum-confinement effects. In this work, we investigate the stability and the possibility of exfoliation of monolayer Bi2Se3-xTex (x = 0, 1, 2) using first-principles calculations. Our calculations show that these materials are indirect bandgap semiconductors, and the elastic modulus is smaller than other conventional materials, which indicates better flexibility. We find that the electron mobility of monolayer Bi2SeTe2 along the armchair direction is higher than that of black phosphorene, reaching 2708 cm2 V-1 s-1, and the electron mobility of monolayer Bi2Se3 along the zigzag direction is about 24 times larger than the hole mobility. The remarkable electron mobilities and highly anisotropic properties of these new monolayers pave the way for future applications in high-speed (opto)electronic devices.
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Affiliation(s)
- Yifan Liu
- School of Science, Shandong Jianzhu University, Jinan 250101, Shandong, China.
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16
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Zhang Y, You Q, Huang W, Hu L, Ju J, Ge Y, Zhang H. Few-layer hexagonal bismuth telluride (Bi 2Te 3) nanoplates with high-performance UV-Vis photodetection. NANOSCALE ADVANCES 2020; 2:1333-1339. [PMID: 36133032 PMCID: PMC9419258 DOI: 10.1039/d0na00006j] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/06/2020] [Accepted: 02/09/2020] [Indexed: 05/21/2023]
Abstract
It is widely known that the excellent intrinsic electronic and optoelectronic advantages of bismuthene and tellurene make them attractive for applications in transistors and logic and optoelectronic devices. However, their poor optoelectronic performances, such as photocurrent density and photoresponsivity, under ambient conditions severely hinder their practical application. To satisfy the demand of high-performance optoelectronic devices and topological insulators, bismuth telluride nanoplates (Bi2Te3 NPs) with different sizes, successfully synthesized by a solvothermal approach have been, for the first time, employed to fabricate a working electrode for photoelectrochemical (PEC)-type photodetection. It is demonstrated that the as-prepared Bi2Te3 NP-based photodetectors exhibit remarkably improved photocurrent density, enhanced photoresponsivity, and faster response time and recovery time in the UV-Vis region, compared to bismuthene and tellurene-based photodetectors. Additionally, the PEC stability measurements show that Bi2Te3 NPs have a comparable long-term stability for on/off switching behaviour for the bismuthene and tellurene-based photodetectors. Therefore, it is anticipated that the present work can provide fundamental acknowledgement of the optoelectronic performance of a PEC-type Bi2Te3 NP-based photodetector, shedding light on new designs of high-performance topological insulator-based optoelectronic devices.
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Affiliation(s)
- Ye Zhang
- SZU-NUS Collaborative Innovation Centre for Optoelectronic Science & Technology, International Collaborative Laboratory of 2D Materials for Optoelectronics Science and Technology of Ministry of Education, Institute of Microscale Optoelectronics, Shenzhen University Shenzhen 518060 China
| | - Qi You
- SZU-NUS Collaborative Innovation Centre for Optoelectronic Science & Technology, International Collaborative Laboratory of 2D Materials for Optoelectronics Science and Technology of Ministry of Education, Institute of Microscale Optoelectronics, Shenzhen University Shenzhen 518060 China
| | - Weichun Huang
- Nantong Key Lab of Intelligent and New Energy Materials, College of Chemistry and Chemical Engineering, Nantong University Nantong 226019 Jiangsu P. R. China
| | - Lanping Hu
- Nantong Key Lab of Intelligent and New Energy Materials, College of Chemistry and Chemical Engineering, Nantong University Nantong 226019 Jiangsu P. R. China
| | - Jianfeng Ju
- Nantong Key Lab of Intelligent and New Energy Materials, College of Chemistry and Chemical Engineering, Nantong University Nantong 226019 Jiangsu P. R. China
| | - Yanqi Ge
- SZU-NUS Collaborative Innovation Centre for Optoelectronic Science & Technology, International Collaborative Laboratory of 2D Materials for Optoelectronics Science and Technology of Ministry of Education, Institute of Microscale Optoelectronics, Shenzhen University Shenzhen 518060 China
| | - Han Zhang
- SZU-NUS Collaborative Innovation Centre for Optoelectronic Science & Technology, International Collaborative Laboratory of 2D Materials for Optoelectronics Science and Technology of Ministry of Education, Institute of Microscale Optoelectronics, Shenzhen University Shenzhen 518060 China
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17
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Lv B, Hu X, Liu X, Zhang Z, Song J, Luo Z, Gao Z. Thermal transport properties of novel two-dimensional CSe. Phys Chem Chem Phys 2020; 22:17833-17841. [PMID: 32744552 DOI: 10.1039/d0cp02298e] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/02/2023]
Abstract
Recently, as a novel member of the IV-VI group compounds, two-dimensional (2D) buckled monolayer CSe has been discovered for use in high-performance light-emitting devices (Q. Zhang, Y. Feng, X. Chen, W. Zhang, L. Wu and Y. Wang, Nanomaterials, 2019, 9, 598). However, to date, the heat transport properties of this novel CSe is still lacking, which would hinder its potential application in electronic devices and thermoelectric materials that can generate electricity from waste heat. Here we systematically study the heat transport properties of monolayer CSe based on ab initio calculations and phonon Boltzmann transport theory. We find that the lattice thermal conductivity κlat of monolayer CSe is around 42 W m-1 K-1 at room temperature, which is much lower than those of black phosphorene, buckled phosphorene, MoS2, and buckled arsenene. Moreover, the longitudinal acoustic phonon mode contributes the most to the κlat, which is much larger than those of the out-of-plane phonon mode and transverse acoustic branches. The calculated size-dependent κlat shows that the sample size can significantly reduce the κlat of monolayer CSe and can persist up to 10 μm. These discoveries provide new insight into the size-dependent thermal transport in nanomaterials and guide the design of CSe-based low-dimensional quantum devices, such as thermoelectric devices.
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Affiliation(s)
- Bing Lv
- School of Physics and Electronic Science, Guizhou Normal University, Guiyang 550025, China and Key Laboratory of Low Dimensional Condensed Matter Physics of Higher Educational Institution of Guizhou Province, Guizhou Normal University, Guiyang 550025, China
| | - Xiaona Hu
- School of Biological Sciences, Guizhou Education University, Guiyang 550018, China
| | - Xuefei Liu
- School of Physics and Electronic Science, Guizhou Normal University, Guiyang 550025, China and Key Laboratory of Low Dimensional Condensed Matter Physics of Higher Educational Institution of Guizhou Province, Guizhou Normal University, Guiyang 550025, China
| | - Zhaofu Zhang
- Department of Engineering, Cambridge University, Cambridge, CB2 1PZ, UK
| | - Jia Song
- Shanghai Engineering Research Center of 3D Printing Materials, Shanghai Research Institute of Materials, Shanghai 200437, China
| | - Zijiang Luo
- School of Information, Guizhou University of Finance and Economics, Guiyang 550025, China
| | - Zhibin Gao
- Department of Physics, National University of Singapore, Singapore, 117551, Republic of Singapore.
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18
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Chowdhury EH, Rahman MH, Bose P, Jayan R, Islam MM. Atomic-scale analysis of the physical strength and phonon transport mechanisms of monolayer β-bismuthene. Phys Chem Chem Phys 2020; 22:28238-28255. [PMID: 33295342 DOI: 10.1039/d0cp04785f] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/17/2023]
Abstract
Bismuthene has opened up a new avenue in the field of nanotechnology because of its spectacular electronic and thermoelectric features. The strong spin-orbit-coupling enables its operation as the largest nontrivial bandgap topological insulator and quantum spin hall material at room temperature, which is unlikely for any other 2D material. It is also known to be the most promising thermoelectric material due to its remarkable thermoelectric properties, including a substantially high power factor. However, an in-depth understanding of the mechanical and thermal transport properties of bismuthene is crucial for its practical implementation and efficient operation. Employing the Stillinger-Weber potential, we utilized molecular dynamics simulations to inspect the mechanical strength and thermal conductivity of the monolayer β-bismuthene for the first time. We analyzed the effect of temperature on the tensile mechanical properties along the armchair and zigzag directions of bismuthene nanosheets and found that increasing temperature causes a significant deterioration in these properties. The material shows superior fracture resistance with zigzag loading, whereas the armchair direction exhibits an improved elasticity. Next, we showed that increasing vacancy concentration and crack length notably reduce the fracture stress and strain of β-bismuthene. Under all these conditions, β-bismuthene showed a strong chirality effect under tensile loading. We also explored the fracture phenomena of a pre-cracked β-bismuthene, which reveal that the armchair-directed crack possesses a higher fracture resistance than the zigzag-directed crack. Interestingly, branching phenomena occurred during crack propagation for the armchair crack; meanwhile, the crack propagates perpendicular to loading for the zigzag crack. Afterward, we investigated the effect of loading rate on the fracture properties of bismuthene along the armchair and zigzag directions. Finally, we calculated the thermal conductivity of bismuthene under the influence of temperature and vacancy and recorded a substantial decrement in thermal conductivity with increasing temperature and vacancy. The obtained results are comprehensively discussed in the light of phonon density of states, phonon dispersion spectrum, and phonon group velocities. It is also disclosed that the thermal conductivity of β-bismuthene is considerably lower than that of other analogous honeycomb structures. This study can add a new dimension to the successful realization of bismuthene in future (opto)electronic, spintronic, and thermoelectric devices.
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Affiliation(s)
- Emdadul Haque Chowdhury
- Department of Mechanical Engineering, Bangladesh University of Engineering and Technology, Dhaka 1000, Bangladesh
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19
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Du B, Lai X, Liu Q, Liu H, Wu J, Liu J, Zhang Z, Pei Y, Zhao H, Jian J. Spark Plasma Sintered Bulk Nanocomposites of Bi 2Te 2.7Se 0.3 Nanoplates Incorporated Ni Nanoparticles with Enhanced Thermoelectric Performance. ACS APPLIED MATERIALS & INTERFACES 2019; 11:31816-31823. [PMID: 31436073 DOI: 10.1021/acsami.9b08392] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Bi2Te3-based compounds are important near room temperature thermoelectric materials with commercial applications in thermoelectric modules. However, new routes leading to improved thermoelectric performance are highly desirable. Incorporation of superparamagnetic nanoparticles was recently proposed as a means to promote the thermoelectric properties of materials, but its feasibility has rarely been examined in mainstream thermoelectric materials. In this study, high quality single-crystalline Bi2Te2.7Se0.3 nanoplates and Ni nanoparticles were successfully synthesized by solvothermal and thermal decomposition methods, respectively. Bulk nanocomposites consisting of Bi2Te2.7Se0.3 nanoplates and superparamagnetic Ni nanoparticles were prepared by spark plasma sintering. It was found that incorporation of Ni nanoparticles simultaneously increased the carrier concentration and provided additional scattering centers, which resulted in enlarged electric conductivities and Seebeck coefficients. The greatly improved ZT was achieved due to the increase in power factor. Spark plasma sintered bulk nanocomposites of Bi2Te2.7Se0.3 nanoplates incorporated by 0.4 mol %Ni nanoparticles (in molar ratio) showed a figure-of-merit ZT of 0.66 at 425 K, equivalent to 43% increase when compared to pure Bi2Te2.7Se0.3 nanoplates. The results revealed that incorporation of magnetic nanoparticles could be an effective approach for promoting the thermoelectric performance of conventional semiconductors.
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Affiliation(s)
- Bingsheng Du
- Physics and Optoelectronic Engineering College , Guangdong University of Technology , Guangzhou 510006 , China
| | - Xiaofang Lai
- Physics and Optoelectronic Engineering College , Guangdong University of Technology , Guangzhou 510006 , China
| | - Qiulin Liu
- Beijing National Laboratory for Condensed Matter Physics , Institute of Physics, Chinese Academy of Sciences , Beijing 100190 , China
| | - Haitao Liu
- Physics and Optoelectronic Engineering College , Guangdong University of Technology , Guangzhou 510006 , China
- School of Physical Science and Technology , Xinjiang University , Urumqi 830046 , China
| | - Jing Wu
- Physics and Optoelectronic Engineering College , Guangdong University of Technology , Guangzhou 510006 , China
| | - Jiao Liu
- Physics and Optoelectronic Engineering College , Guangdong University of Technology , Guangzhou 510006 , China
| | - Zhihua Zhang
- Liaoning Key Materials Laboratory for Railway, School of Materials Science and Engineering , Dalian Jiaotong University , Dalian 116028 , China
| | - Yanzhong Pei
- Key Laboratory of Advanced Civil Engineering Materials of Ministry of Education, School of Materials Science and Engineering , Tongji University , 4800 Caoan Road , Shanghai 201804 , China
| | - Huaizhou Zhao
- Beijing National Laboratory for Condensed Matter Physics , Institute of Physics, Chinese Academy of Sciences , Beijing 100190 , China
| | - Jikang Jian
- Physics and Optoelectronic Engineering College , Guangdong University of Technology , Guangzhou 510006 , China
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20
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Ma JJ, Zheng JJ, Zhu XL, Liu PF, Li WD, Wang BT. First-principles calculations of thermal transport properties in MoS2/MoSe2 bilayer heterostructure. Phys Chem Chem Phys 2019; 21:10442-10448. [DOI: 10.1039/c9cp01702j] [Citation(s) in RCA: 24] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The van der Waals interaction in a MoS2/MoSe2 bilayer heterostructure has a significant effect on its lattice thermal conductivity.
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Affiliation(s)
- Jiang-Jiang Ma
- Institute of Theoretical Physics
- State Key Laboratory of Quantum Optics and Quantum Optics Devices
- Shanxi University
- Taiyuan 030006
- China
| | - Jing-Jing Zheng
- Institute of Theoretical Physics
- State Key Laboratory of Quantum Optics and Quantum Optics Devices
- Shanxi University
- Taiyuan 030006
- China
| | - Xue-Liang Zhu
- Dongguan Neutron Science Center
- Dongguan 523803
- China
- Institute of High Energy Physics
- Chinese Academy of Sciences (CAS)
| | - Peng-Fei Liu
- Dongguan Neutron Science Center
- Dongguan 523803
- China
- Institute of High Energy Physics
- Chinese Academy of Sciences (CAS)
| | - Wei-Dong Li
- Institute of Theoretical Physics
- State Key Laboratory of Quantum Optics and Quantum Optics Devices
- Shanxi University
- Taiyuan 030006
- China
| | - Bao-Tian Wang
- Dongguan Neutron Science Center
- Dongguan 523803
- China
- Institute of High Energy Physics
- Chinese Academy of Sciences (CAS)
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