Spin Hall Conductance of the Two Dimensional Hole Gas in a Perpendicular Magnetic Field

TL;DR

This paper investigates the spin and charge Hall conductance in a 2D hole gas under magnetic fields, revealing periodic modulation of spin conductance and a resonance that could confirm the intrinsic spin Hall effect.

Contribution

It predicts magnetic field-induced modulation and resonance phenomena in spin Hall conductance within the Luttinger model, highlighting potential experimental applications.

Findings

Spin Hall conductance sign is periodically modulated by magnetic field.

Resonant spin Hall conductance occurs at specific hole densities and magnetic fields.

Charge Hall conductance remains unaffected by spin-orbit coupling.

Abstract

The charge and spin Hall conductance of the two-dimensional hole gas within the Luttinger model with and without inversion symmetry breaking terms in a perpendicular magnetic field are studied, and two key phenomena are predicted. The sign of the spin Hall conductance is modulated periodically by the external magnetic field, which means a possible application in the future. Furthermore, a resonant spin Hall conductance in the two-dimensional hole gas with a certain hole density at a typical magnetic field is indicated, which implies a likely way to firmly establish the intrinsic spin Hall effect. The charge Hall conductance is unaffected by the spin-orbit coupling.