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Disorder in the nonlinear anomalous Hall effect of PT-symmetric Dirac fermions

Rhonald Burgos Atencia1,2, Di Xiao3,4, and Dimitrie Culcer1,2

  • 1School of Physics, The University of New South Wales, Sydney 2052, Australia
  • 2ARC Centre of Excellence in Low-Energy Electronics Technologies, UNSW Node, The University of New South Wales, Sydney 2052, Australia
  • 3Department of Materials Science and Engineering, University of Washington, Seattle, Washington 98195, USA
  • 4Department of Physics, University of Washington, Seattle, Washington 98195, USA

Phys. Rev. B 108, L201115 – Published 20 November, 2023

DOI: https://doi.org/10.1103/PhysRevB.108.L201115

Abstract

The study of the nonlinear anomalous Hall effect (NLAHE) in PT-symmetric systems has focused on intrinsic mechanisms. Here, we show that disorder contributes substantially to NLAHE and often overwhelms intrinsic terms. We identify terms to zeroth order in the disorder strength involving the Berry curvature dipole, skew scattering, and side jump, all exhibiting a strong peak as a function of the Fermi energy, a signature of interband coherence. Our results suggest NLAHE at experimentally relevant transport densities in PT-symmetric systems is likely to be extrinsic.

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