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Title: Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials

Abstract

In this paper, 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 α xy and the Seebeck coefficient Sxx, which are well-defined even in the dissipationless limit. We contrast the behaviors of α xy and Sxx with those of traditional Schrödinger particle systems, such as doped semiconductors. Strikingly, we find that for Dirac materials α xy 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 ω cτ~1 (where ω c is the cyclotron frequency and τ is the scattering time), are sufficient to produce a more than 100% increase in the figure of merit.

Authors:
 [1];  [1];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1572813
Alternate Identifier(s):
OSTI ID: 1506550
Grant/Contract Number:  
AC02-05CH11231; SC0018945
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 15; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Kozii, Vladyslav, Skinner, Brian, and Fu, Liang. Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials. United States: N. p., 2019. Web. doi:10.1103/physrevb.99.155123.
Kozii, Vladyslav, Skinner, Brian, & Fu, Liang. Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials. United States. doi:10.1103/physrevb.99.155123.
Kozii, Vladyslav, Skinner, Brian, and Fu, Liang. Thu . "Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials". United States. doi:10.1103/physrevb.99.155123.
@article{osti_1572813,
title = {Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials},
author = {Kozii, Vladyslav and Skinner, Brian and Fu, Liang},
abstractNote = {In this paper, 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.},
doi = {10.1103/physrevb.99.155123},
journal = {Physical Review B},
number = 15,
volume = 99,
place = {United States},
year = {2019},
month = {4}
}

Journal Article:
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