On the Onsager-Casimir reciprocal relations in a tilted Weyl semimetal

TL;DR

This paper investigates the Onsager-Casimir reciprocal relations in a tilted Weyl semimetal, confirming their validity and exploring the connection between Berry curvature effects and a chirality-dependent Hall effect.

Contribution

It demonstrates the satisfaction of reciprocal relations in a tilted Weyl semimetal and links Berry curvature effects to the observed Hall phenomena.

Findings

Reciprocal relations are confirmed in the studied material.

Berry curvature effects contribute to the Hall effect.

Chirality-dependent Hall effect is linked to Berry curvature phenomena.

Abstract

The Onsager-Casimir reciprocal relations are a fundamental symmetry of nonequilibrium statistical systems. Here we study an unusual chirality-dependent Hall effect in a tilted Weyl semimetal Co$_3$Sn$_2$S$_2$ with broken time reversal symmetry. It is confirmed that the reciprocal relations are satisfied. Since two Berry curvature effects, an anomalous velocity and a chiral chemical potential, contribute to the observed Hall effect, the reciprocal relations suggest their intriguing connection.