Hall Shift Current and Nonlinear Anomalous Hall Effect in Gapped Dirac Fermion Systems

Toshihito Osada

Hall Shift Current and Nonlinear Anomalous Hall Effect in Gapped Dirac Fermion Systems

Mesoscale and Nanoscale Physics 2026-07-03 v1

Authors: Toshihito Osada

Abstract

We discuss a new mechanism for the nonlinear anomalous Hall effect in tilted two-dimensional gapped Dirac fermion systems. This mechanism originates from a side-jump displacement associated with Landau-Zener tunneling across the mass gap. In lightly doped tilted Dirac systems with a small gap, this interband mechanism can contribute to the nonlinear anomalous Hall effect in addition to the conventional intraband mechanism arising from the Berry curvature dipole. It provides a possible explanation for the nonlinear Hall effect accompanied by nonlinear longitudinal transport observed in the organic Dirac fermion system {\alpha}-(ET)2I3 with an extremely small gap.

Cite

@article{arxiv.2607.02953,
  title  = {Hall Shift Current and Nonlinear Anomalous Hall Effect in Gapped Dirac Fermion Systems},
  author = {Toshihito Osada},
  journal= {arXiv preprint arXiv:2607.02953},
  year   = {2026}
}

Comments

15 pages, 3 figures