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Temperature Induced Band Convergence, Intervalley Scattering, and Thermoelectric Transport in p-Type PbTe
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    Temperature Induced Band Convergence, Intervalley Scattering, and Thermoelectric Transport in p-Type PbTe
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    • Ransell D’Souza*
      Ransell D’Souza
      Tyndall National Institute, Lee Maltings, Dyke Parade, Cork T12 R5CP, Ireland
      *E-mail: [email protected]
    • José D. Querales-Flores
      José D. Querales-Flores
      Tyndall National Institute, Lee Maltings, Dyke Parade, Cork T12 R5CP, Ireland
    • Jiang Cao
      Jiang Cao
      Institut für Integrierte Systeme, ETH Zürich, Rämistrasse, 101, 8092 Zürich, Switzerland
      School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
      More by Jiang Cao
    • Stephen Fahy
      Stephen Fahy
      Department of Physics, University College Cork, College Road, Cork T12 K8AF, Ireland
      More by Stephen Fahy
    • Ivana Savić*
      Ivana Savić
      Tyndall National Institute, Lee Maltings, Dyke Parade, Cork T12 R5CP, Ireland
      *E-mail: [email protected]
      More by Ivana Savić
    Other Access OptionsSupporting Information (1)

    ACS Applied Energy Materials

    Cite this: ACS Appl. Energy Mater. 2022, 5, 6, 7260–7268
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    https://doi.org/10.1021/acsaem.2c00800
    Published May 25, 2022
    Copyright © 2022 American Chemical Society

    Abstract

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    Achieving high valley degeneracy (i.e., “band convergence”) in a material usually results in considerably enhanced thermoelectric properties. However, it is still unclear why this strategy of designing efficient thermoelectric materials is so successful, because the benefit of increased density of states may be severely degraded by intervalley scattering. Using first-principles calculations, we investigate these effects in p-type PbTe, where temperature induces alignment of the L and Σ valleys at ∼620 K. We explicitly show that the thermoelectric power factor and figure of merit peak near the band convergence temperature. The figure of merit maximum is larger than those of the individual L and Σ valleys. Surprisingly, intervalley scattering does not considerably affect the figure of merit near the band convergence temperature and optimal doping conditions, although it reduces the power factor by almost a factor of 2. Our results suggest that band convergence will significantly increase the figure of merit if intervalley scattering is roughly proportional to the density of states and the lattice thermal conductivity is considerably lower than the electronic thermal conductivity, even if intervalley scattering is strong.

    Copyright © 2022 American Chemical Society

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    The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acsaem.2c00800.

    • Figures showing the resistivity of p-type PbTe, the bipolar contribution to thermoelectric transport properties, the Fermi level positions, the influence of intervalley scattering on the figure of merit, and the relative difference between the electrical and lattice thermal conductivity and the Lorenz number (PDF)

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    This article is cited by 8 publications.

    1. Saff E. Awal Akhtar, Neophytos Neophytou. Conditions for Thermoelectric Power Factor Improvements upon Band Alignment in Complex Bandstructure Materials. ACS Applied Energy Materials 2025, 8 (3) , 1609-1619. https://doi.org/10.1021/acsaem.4c02747
    2. Manhong Zhang, Jianfeng Cai, Feng Gao, Zongwei Zhang, Mancang Li, Zhiyu Chen, Yu Wang, Ding Hu, Xiaojian Tan, Guoqiang Liu, Song Yue, Jun Jiang. Improved Thermoelectric Performance of p-Type PbTe by Entropy Engineering and Temperature-Dependent Precipitates. ACS Applied Materials & Interfaces 2024, 16 (1) , 907-914. https://doi.org/10.1021/acsami.3c16495
    3. Yujie Xia, Ao Wu, Ben Li, Juan Zhang, Yiming Zhang, Lei Peng, Hezhu Shao, Yan Cen, Zengxu Wang, Shangdong Liu, Yimu Ji, Zhan Sui, Heyuan Zhu, Hao Zhang. Spin–Orbit-Coupling-Induced Topological Transition and Anomalously Strong Intervalley Scattering in Two-Dimensional Bismuth Allotropes with Enhanced Thermoelectric Performances. ACS Applied Materials & Interfaces 2023, 15 (15) , 19545-19559. https://doi.org/10.1021/acsami.2c20760
    4. Ajay Kumar Verma, Kishor Kumar Johari, Paritosh Dubey, Durgesh Kumar Sharma, Sudhir Kumar, Sanjay Rangnate Dhakate, Christophe Candolfi, Bertrand Lenoir, Bhasker Gahtori. Realization of Band Convergence in p-Type TiCoSb Half-Heusler Alloys Significantly Enhances the Thermoelectric Performance. ACS Applied Materials & Interfaces 2023, 15 (1) , 942-952. https://doi.org/10.1021/acsami.2c16721
    5. Haiwei Han, Lijun Zhao, Xinmeng Wu, Bin Zuo, Shunuo Bian, Tao Li, Xinyue Liu, Yaohong Jiang, Chunyan Chen, Jiali Bi, Junhua Xu, Lihua Yu. Advancements in thermoelectric materials: optimization strategies for enhancing energy conversion. Journal of Materials Chemistry A 2024, 12 (36) , 24041-24083. https://doi.org/10.1039/D4TA03666B
    6. Wenliang Yao, Bowen Shi, Shunbo Hu, Peng Zhang, Jinyang Xi, Yin Wang, David J. Singh, Wei Ren. Temperature-induced band gap renormalization in Mg 2 Si and Mg 2 Sn . Physical Review B 2023, 108 (15) https://doi.org/10.1103/PhysRevB.108.155205
    7. Yuya Hattori, Shunsuke Yoshizawa, Keisuke Sagisaka, Yuki Tokumoto, Keiichi Edagawa, Takako Konoike, Shinya Uji, Taichi Terashima. Experimental verification of band convergence in Sr and Na codoped PbTe. Physical Review B 2023, 108 (12) https://doi.org/10.1103/PhysRevB.108.125119
    8. Vahid Askarpour, Jesse Maassen. First-principles analysis of intravalley and intervalley electron-phonon scattering in thermoelectric materials. Physical Review B 2023, 107 (4) https://doi.org/10.1103/PhysRevB.107.045203

    ACS Applied Energy Materials

    Cite this: ACS Appl. Energy Mater. 2022, 5, 6, 7260–7268
    Click to copy citationCitation copied!
    https://doi.org/10.1021/acsaem.2c00800
    Published May 25, 2022
    Copyright © 2022 American Chemical Society

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