General solution for the response of materials under radiation and tilted magnetic field: semi-classical regime
Abstract
The Berry curvature dipole is well-known to cause Hall conductivity. This study expands on previous results to demonstrate how two- and three-dimensional materials react under a tilted magnetic field in the linear and nonlinear regimes. We show how the Hall effect has a quantum origin by deriving the general form of intrinsic and extrinsic currents in materials under a tilted magnetic field. Our focus is on determining the linear and nonlinear response of two-dimensional materials. We also demonstrate that as the result of the perpendicular component of the magnetic field a current resulted by both velocity and Berry curvature can occur in two-dimensional materials and topological crystalline insulators in second harmonic generation and ratchet responses. The findings of this research may provide insight into the transport characteristics of materials in the semi-classical regime and initiate a new chapter in linear and nonlinear Hall effects.
Keywords
Cite
@article{arxiv.2406.07987,
title = {General solution for the response of materials under radiation and tilted magnetic field: semi-classical regime},
author = {Narjes Kheirabadi and YuanDong Wang},
journal= {arXiv preprint arXiv:2406.07987},
year = {2025}
}