Nonlinear Hall effect in two-dimensional electron gases with magnetic field

Botsz HUANG^1*, Ali G. Moghaddam^2,3, Jorge I. Facio², Ching-Hao CHANG¹

¹Department of Physics, National Cheng Kung University, Tainan, Taiwan
²Leibniz Institute for Solid State and Materials Research, Dresden, Germany
³Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran

* Presenter:Botsz HUANG, email:bhuang@phys.ncku.edu.tw

In recent years, the understanding of the Hall effect is in the absence of a magnetic field and the berry curvature dipole is essential to drive nonlinear Hall effect. The anomalous Hall effect (AHE) relies on the broken time-reversal symmetry of Berry curvature and the external electric field. This work presents a non-linear Hall effect driven by an external magnetic field.
The test particle method is employed to trace its trajectory via semiclassical theory. Following the numerical results, zero Hall current $V_y$ is reproduced accurately with the time translation symmetry. When the time translation symmetry of magnetic dipole is broken, the high-order non-linear Hall currents are observed. Furthermore, the amplitude of non-linear Hall current is highly related to cyclotron radius and dipole width. The external magnetic dipole is available and is already implemented experimentally.

Keywords: nonlinear Hall effect, magnetic field, semiclassical theory