Non-linear anomalous Hall effect of two-dimensional spin-3/2 heavy holes

TL;DR

This paper reports a significant non-linear anomalous Hall effect in two-dimensional spin-3/2 heavy holes, driven by quadrupole interactions enabled by inversion symmetry breaking, observable in modern heterostructures.

Contribution

It reveals a sizable non-linear anomalous Hall effect in 2D heavy holes due to quadrupole interactions, a phenomenon previously considered negligible.

Findings

Effect is comparable to topological materials in magnitude.

Observable in heterostructures with magnetic doping or vector magnet.

Driven by inversion symmetry breaking and quadrupole interactions.

Abstract

We identify a sizable non-linear anomalous Hall effect in the electrical response of spin-3/2 heavy holes in zincblende semiconductor nanostructures. The response is driven by a quadrupole interaction with the electric field enabled by Td-symmetry. This interaction, until recently believed to be negligible, reflects inversion symmetry breaking and in two dimensions results in an electric-field dependent correction to the in-plane g-factor. The effect can be observed in state-of-the-art heterostructures, either via magnetic doping or by using a vector magnet, where even for small perpendicular magnetic fields it is comparable in magnitude to topological materials.