Anomalous transport in Kane fermions

TL;DR

This paper investigates the anomalous transport properties of Kane fermions, focusing on Berry curvature effects and anisotropic responses under weak Zeeman fields, with implications for experimental detection.

Contribution

It provides a theoretical analysis of Berry curvature and anomalous transport in Kane fermions, highlighting effects of time-reversal symmetry breaking and potential experimental signatures.

Findings

Berry curvature influences anomalous transport coefficients.

Anisotropic responses depend on Zeeman field orientation.

Potential experimental probes for Kane fermion properties.

Abstract

Kane fermions are characterized by a linear Dirac cone intersecting with a flat band, resembling a pseudo-spin-1 Dirac semimetal. Similar to relativistic Dirac fermions, Kane fermions satisfy a linear energy-momentum relation and can be classified as being pseudo-relativistic. Though not protected by symmetry or by topology, Kane fermions can emerge by suitable band engineering, for example, in mercury-telluride compounds. Here we study the Berry curvature of Kane fermions that emerges in the presence of time-reversal symmetry breaking weak Zeeman fields. We discuss the related anomalous transport coefficients and discuss the anisotropy in these responses that can be probed in experiments.