The Study on Resonant Nonlinear Hall Effect with Two-Dimensional Electron Gas Model
Botsz Huang1*, Ali G. Moghaddam2,3,4, Jorge I. Facio3, Ching-Hao Chang1,5
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,
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