Chiral Anomaly Induced Transverse Planar Transport Phenomena in Three Dimensional Spin-Orbit Coupled Metals

TL;DR

This paper explores how chiral anomaly causes unique transverse transport effects in 3D spin-orbit coupled metals, revealing distinctive angular, magnetic, and temperature dependencies that differ from Weyl semimetals.

Contribution

It introduces a theoretical framework for anomaly-induced transverse transport in metals without Weyl nodes, highlighting unconventional temperature and magnetic field behaviors.

Findings

Transport coefficients depend on magnetic field strength and angle.

Transport coefficients show exponential temperature dependence.

Violations of Mott relation at low temperatures.

Abstract

We investigate linear and nonlinear transverse planar transport phenomena (viz. linear and nonlinear Hall and Nernst coefficients) induced by chiral anomaly in three-dimensional spin-orbit coupled metallic systems. Unlike Weyl semimetals, these systems do not possess multiple Weyl nodes located at isolated points in the momentum space but instead host a pair of Fermi surfaces characterized by opposite Berry curvature fluxes enclosing the same band-degeneracy point. Using semiclassical Boltzmann transport formalism within the relaxation time approximation, we derive first- and second-order transverse planar transport coefficients induced by electrical and thermal gradients in the presence of an in-plane magnetic field. Our analysis reveals distinctive angular dependencies of the transport coefficients, along with characteristic scaling behavior with the magnetic field strength. Furthermore, we demonstrate that the anomaly-induced transport coefficients exhibit an exponential temperature dependence. This unconventional behavior leads to the violations of the Mott relation at comparatively low temperatures, highlighting unique thermoelectric signatures that can be probed experimentally in 3D spin-orbit coupled metallic systems.