Nonlinear Hall Effects through Numerical Simulation

Hao-Cheng Hung^1*, Xuan-Fu Huang¹, You-Ting Huang¹, Ching-Hao Chang¹

¹Department of Physics, National Cheng Kung University, Tainan, Taiwan

* Presenter:Hao-Cheng Hung, email:h.light27386626@gmail.com

It's well known that when the system is in uniform magnetic field, it will give rise to ordinary Hall effect, but what happens if the system is under non-uniform magnetic field(magnetic-field dipole)? This research is studying this topic by numerical simulation, using Kwant, the additional package of Python to do the simulation by tight-binding model. This research is also trying to find the correspondence between the semi-classical model and the results of the simulation. The results of the simulation when the external electric field is applied to the system could imply that there would be nonlinear Hall effect if the system is in non-uniform magnetic field(magnetic-field dipole).

Keywords: Nonlinear Hall effects, Magnetotransport, Magnetic-field dipole