We compute the second-harmonic response of two-dimensional topological Dirac semimetals subjected to an external in-plane magnetic field. The quantum kinetic equation for the Wigner distribution function is derived and then solved to evaluate the second-order electric-field contributions to the current density. Both the Berry curvature dipole and the field-induced terms in the current are analyzed across a broad range of model parameters. We propose that our theory can be tested experimentally by measuring the dependence of the anomalous Hall resistivity on the in-plane magnetic field in the surface states of the topological insulator SnTe, in WTe2 and WSe2 monolayers, as well as in the Kondo lattice material Ce3Bi4Pd3 at very low temperatures.
@article{arxiv.2508.20159,
title = {Nonlinear Hall effect in topological Dirac semimetals in parallel magnetic field},
author = {Maxim Dzero and Maxim Khodas and Alex Levchenko and Vladyslav Kozii},
journal= {arXiv preprint arXiv:2508.20159},
year = {2026}
}