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Nonlinear Hall effect of magnetized two-dimensional spin-32 heavy holes

Sina Gholizadeh1,2, James H. Cullen1, and Dimitrie Culcer1,2

  • 1School of Physics, The University of New South Wales, Sydney 2052, Australia
  • 2ARC Centre of Excellence in Future Low-Energy Electronics Technologies, The University of New South Wales, Sydney 2052, Australia

Phys. Rev. B 107, L041301 – Published 17 January, 2023

DOI: https://doi.org/10.1103/PhysRevB.107.L041301

Abstract

We identify a sizable nonlinear Hall effect of spin-3/2 heavy holes in zincblende nanostructures, driven by a quadrupole interaction with the electric field formerly believed to be negligible. The interaction is enabled by Td-symmetry, reflects inversion breaking, and in two dimensions results in an electric-field 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.

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