General solution for the response of materials under radiation and tilted magnetic field: semi-classical regime

TL;DR

This paper develops a comprehensive framework to analyze how two- and three-dimensional materials respond to tilted magnetic fields, revealing quantum-origin Hall effects and nonlinear responses relevant for advanced material transport studies.

Contribution

It introduces a general form for intrinsic and extrinsic currents under tilted magnetic fields, extending understanding of Hall effects in the semi-classical regime.

Findings

Perpendicular magnetic field components induce currents via velocity and Berry curvature.

Second harmonic generation and ratchet responses occur in 2D materials and topological insulators.

The work advances understanding of linear and nonlinear Hall effects in complex magnetic field configurations.

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.