The Study on Resonant Nonlinear Hall Effect with Two-Dimensional Electron Gas Model

Botsz Huang^1*, Ali G. Moghaddam^2,3,4, Jorge I. Facio³, Ching-Hao Chang^1,5

¹Department of Physics, National Cheng Kung University, Tainan, Taiwan
²Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran
³Institute for Theoretical Solid State Physics, IFW Dresden, Dresden, Germany
⁴Computational Physics Laboratory, Tampere University, Tampere, Finland
⁵Center for Quantum Frontiers of Research and Technology (QFort), National Cheng Kung University, Tainan, Taiwan

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

This work performs that the Hall current is available with the real-space magnetic dipole. The previous research shows that the anomalous and nonlinear Hall current and are driven by Berry curvature because of the broken time-reversal symmetry. Here we prove the second harmonic nonlinear Hall current by analytical and numerical semi-classical model. With the two-dimensional electron gas model, the gyromotion plays an important role in enhancing the Hall current in the real-space magnetic dipole. This research indicates the possibility of artificial rectification and higher harmonic generation under the nano scale world by broken time-reversal symmetry in the real-space.

Keywords: gyromotion, nonlinear Hall current, magnetic field