Disorder in the nonlinear anomalous Hall effect of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="script">PT</mml:mi></mml:math>-symmetric Dirac fermions
Rhonald Burgos Atencia, Di Xiao, Dimitrie Culcer
Abstract
The study of the nonlinear anomalous Hall effect (NLAHE) in $\mathcal{P}\mathcal{T}$-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 $\mathcal{P}\mathcal{T}$-symmetric systems is likely to be extrinsic.
Topics & Concepts
Berry connection and curvaturePhysicsDipoleFermionHall effectNonlinear systemCondensed matter physicsQuantum mechanicsMagnetic fieldGeometric phaseTopological Materials and PhenomenaQuantum Mechanics and Non-Hermitian PhysicsMechanical and Optical Resonators