In-plane Hall effect in two-dimensional helical electron systems

TL;DR

This paper investigates the in-plane Hall effect in 2D helical electron systems with spin-orbit coupling, revealing a new non-dissipative transverse current component dependent on magnetic field direction and symmetry.

Contribution

It introduces a novel non-dissipative in-plane Hall current component driven by Berry curvature and magnetic field in 2D systems with specific symmetry.

Findings

Identification of a new transverse electric current component

Dependence of the effect on magnetic field direction and symmetry

Potential observability in systems with $C_{3v}$ symmetry

Abstract

We study Berry curvature driven and Zeeman magnetic field dependent electric current responses of two-dimensional electron system with spin-orbit coupling. New non-dissipative component of the electric current occurring in the applied in-plane magnetic field is described. This component is transverse to the electric field, odd in the magnetic field, and depends only on one particular direction of the magnetic field defined by the spin-orbit coupling. We show that the effect can be observed in a number of systems with $C_{3v}$ symmetry.