Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials
© 2019 American Physical Society. We calculate the thermoelectric response coefficients of three-dimensional Dirac or Weyl semimetals as a function of magnetic field, temperature, and Fermi energy. We focus in particular on the thermoelectric Hall coefficient αxy and the Seebeck coefficient Sxx, whi...
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Format: | Article |
Language: | English |
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American Physical Society (APS)
2021
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Online Access: | https://hdl.handle.net/1721.1/136217 |
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author | Kozii, Vladyslav Skinner, Brian Fu, Liang |
author2 | Massachusetts Institute of Technology. Department of Physics |
author_facet | Massachusetts Institute of Technology. Department of Physics Kozii, Vladyslav Skinner, Brian Fu, Liang |
author_sort | Kozii, Vladyslav |
collection | MIT |
description | © 2019 American Physical Society. We calculate the thermoelectric response coefficients of three-dimensional Dirac or Weyl semimetals as a function of magnetic field, temperature, and Fermi energy. We focus in particular on the thermoelectric Hall coefficient αxy and the Seebeck coefficient Sxx, which are well-defined even in the dissipationless limit. We contrast the behaviors of αxy and Sxx with those of traditional Schrödinger particle systems, such as doped semiconductors. Strikingly, we find that for Dirac materials αxy acquires a constant, quantized value at sufficiently large magnetic field, which is independent of the magnetic field or the Fermi energy, and this leads to unprecedented growth in the thermopower and the thermoelectric figure of merit. We further show that even relatively small fields, such that ωcτ∼1 (where ωc is the cyclotron frequency and τ is the scattering time), are sufficient to produce a more than 100% increase in the figure of merit. |
first_indexed | 2024-09-23T10:03:36Z |
format | Article |
id | mit-1721.1/136217 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T10:03:36Z |
publishDate | 2021 |
publisher | American Physical Society (APS) |
record_format | dspace |
spelling | mit-1721.1/1362172023-02-23T15:31:06Z Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials Kozii, Vladyslav Skinner, Brian Fu, Liang Massachusetts Institute of Technology. Department of Physics © 2019 American Physical Society. We calculate the thermoelectric response coefficients of three-dimensional Dirac or Weyl semimetals as a function of magnetic field, temperature, and Fermi energy. We focus in particular on the thermoelectric Hall coefficient αxy and the Seebeck coefficient Sxx, which are well-defined even in the dissipationless limit. We contrast the behaviors of αxy and Sxx with those of traditional Schrödinger particle systems, such as doped semiconductors. Strikingly, we find that for Dirac materials αxy acquires a constant, quantized value at sufficiently large magnetic field, which is independent of the magnetic field or the Fermi energy, and this leads to unprecedented growth in the thermopower and the thermoelectric figure of merit. We further show that even relatively small fields, such that ωcτ∼1 (where ωc is the cyclotron frequency and τ is the scattering time), are sufficient to produce a more than 100% increase in the figure of merit. 2021-10-27T20:34:18Z 2021-10-27T20:34:18Z 2019 2021-07-06T15:46:06Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/136217 en 10.1103/PHYSREVB.99.155123 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society (APS) APS |
spellingShingle | Kozii, Vladyslav Skinner, Brian Fu, Liang Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials |
title | Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials |
title_full | Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials |
title_fullStr | Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials |
title_full_unstemmed | Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials |
title_short | Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials |
title_sort | thermoelectric hall conductivity and figure of merit in dirac weyl materials |
url | https://hdl.handle.net/1721.1/136217 |
work_keys_str_mv | AT koziivladyslav thermoelectrichallconductivityandfigureofmeritindiracweylmaterials AT skinnerbrian thermoelectrichallconductivityandfigureofmeritindiracweylmaterials AT fuliang thermoelectrichallconductivityandfigureofmeritindiracweylmaterials |