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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 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.

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:https://doi.org/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:https://doi.org/10.1103/physrevb.99.155123. https://www.osti.gov/servlets/purl/1572813.
@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}
}

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Works referenced in this record:

Magnetic-tunnelling-induced Weyl node annihilation in TaP
journal, July 2017

  • Zhang, Cheng-Long; Xu, Su-Yang; Wang, C. M.
  • Nature Physics, Vol. 13, Issue 10
  • DOI: 10.1038/nphys4183

Theory of Dissipationless Nernst Effects
journal, February 2010


Breakdown of the Chiral Anomaly in Weyl Semimetals in a Strong Magnetic Field
journal, December 2017


Anomalous Nernst Effect in the Dirac Semimetal Cd 3 As 2
journal, March 2017


Thermopower and Nernst effect in graphene in a magnetic field
journal, August 2009


Dirac dispersion generates unusually large Nernst effect in Weyl semimetals
journal, April 2018


Large, nonsaturating thermopower in a quantizing magnetic field
journal, May 2018


Nernst effect and dimensionality in the quantum limit
journal, November 2009

  • Zhu, Zengwei; Yang, Huan; Fauqué, Benoît
  • Nature Physics, Vol. 6, Issue 1
  • DOI: 10.1038/nphys1437

Evidence for massive bulk Dirac fermions in Pb1−xSnxSe from Nernst and thermopower experiments
journal, November 2013

  • Liang, Tian; Gibson, Quinn; Xiong, Jun
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms3696

Thermoelectric and Magnetothermoelectric Transport Measurements of Graphene
journal, March 2009


Anomalous Hall effect in ZrTe5
journal, March 2018


Band Structure and Laser Action in Pb x Sn 1 x Te
journal, June 1966

  • Dimmock, J. O.; Melngailis, I.; Strauss, A. J.
  • Physical Review Letters, Vol. 16, Issue 26, p. 1193-1196
  • DOI: 10.1103/PhysRevLett.16.1193

Magnetothermoelectric properties of Bi 2 Se 3
journal, January 2013


Thermoelectric effect in a weakly disordered inversion layer subject to a quantizing magnetic field
journal, February 1984


Thermopower of quantum Hall states in Corbino geometry as a measure of quasiparticle entropy
journal, May 2012


Emergence of gapped bulk and metallic side walls in the zeroth Landau level in Dirac and Weyl semimetals
journal, November 2017


Berry-Phase Effect in Anomalous Thermoelectric Transport
journal, July 2006


Quantum Oscillations, Thermoelectric Coefficients, and the Fermi Surface of Semimetallic WTe 2
journal, April 2015


Landau quantization and quasiparticle interference in the three-dimensional Dirac semimetal Cd3As2
journal, June 2014

  • Jeon, Sangjun; Zhou, Brian B.; Gyenis, Andras
  • Nature Materials, Vol. 13, Issue 9
  • DOI: 10.1038/nmat4023

Thermoelectric Transport Signatures of Dirac Composite Fermions in the Half-Filled Landau Level
journal, August 2016


Inversion layer thermopower in high magnetic field
journal, November 1982


Anomalous Thermoelectric Transport of Dirac Particles in Graphene
journal, April 2009


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    Magnetism-induced huge enhancement of the room-temperature thermoelectric and cooling performance of p-type BiSbTe alloys
    journal, January 2020

    • Li, Cuncheng; Ma, Shifang; Wei, Ping
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    • DOI: 10.1039/c9ee03446c

    Magnetic Field‐Enhanced Thermoelectric Performance in Dirac Semimetal Cd 3 As 2 Crystals with Different Carrier Concentrations
    journal, July 2019

    • Wang, Honghui; Luo, Xigang; Peng, Kunling
    • Advanced Functional Materials, Vol. 29, Issue 37
    • DOI: 10.1002/adfm.201902437