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

Vladyslav Kozii, Brian Skinner, and Liang Fu
Phys. Rev. B 99, 155123 – Published 11 April 2019

Abstract

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 ωcτ1 (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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  • Received 15 February 2019

DOI:https://doi.org/10.1103/PhysRevB.99.155123

©2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Vladyslav Kozii, Brian Skinner, and Liang Fu

  • Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

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Issue

Vol. 99, Iss. 15 — 15 April 2019

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