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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Main Authors: Kozii, Vladyslav, Skinner, Brian, Fu, Liang
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:English
Published: American Physical Society (APS) 2021
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.
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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
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AT skinnerbrian thermoelectrichallconductivityandfigureofmeritindiracweylmaterials
AT fuliang thermoelectrichallconductivityandfigureofmeritindiracweylmaterials