Magneto-Seebeck coefficient of Fermi-liquid in three-dimensional Dirac/Weyl semimetal

TL;DR

This paper explores the magneto-Seebeck effect in 3D Dirac/Weyl semimetals, revealing quantum limit behaviors where electrons form a Fermi liquid, with the Seebeck coefficient linked to Fermi and thermal wavelengths.

Contribution

It demonstrates the transformation of massless fermions into a Fermi liquid in the quantum limit and derives a new expression for the Seebeck coefficient involving fundamental wavelengths.

Findings

Plateaus in Hall resistivity and thermoelectric Hall coefficient at quantum limit.

Suppression of quantum oscillations in the Seebeck coefficient at the quantum limit.

Seebeck coefficient expressed as harmonic sum of Fermi and thermal de Broglie wavelengths.

Abstract

We investigate dissipationless magneto-Seebeck effect in three-dimensional Dirac/Weyl semimetal. The Hall resistivity $\rho_{yx}$ and thermoelectric Hall coefficient $\alpha_{xy}$ exhibit plateaus at the quantum limit, where electrons occupy only the zeroth Landau level. In this condition, quantum oscillation in the Seebeck coefficient $S_{xx}\approx \rho_{yx}\alpha_{xy} $ is suppressed, and the massless fermions are transformed into a Fermi liquid system. We show that the Seebeck coefficient at the quantum limit is expressed by the harmonic sum of Fermi wavelength and thermal de Broglie wavelength scaled by magnetic length.