Dresden 2020 – scientific programme
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MM: Fachverband Metall- und Materialphysik
MM 18: Poster Session I
MM 18.41: Poster
Monday, March 16, 2020, 18:15–20:00, P4
The study of non-linear Hall effect via semiclassical theory — •Botsz Huang1 and Ching-Hao Chang1,2 — 1Department of Physics, National Cheng Kung University, Tainan 701, Taiwan — 2Center for Quantum Frontiers of Research & Technology (QFort), National Cheng Kung University, Tainan 701, Taiwan
Ordinary Hall effect is driven by an applied magnetic field that provides Lorentz force on a charge carrier and thus leads to charge accumulation perpendicular to the current direction.
While anomalous Hall effect occurring in magnetic materials does not require any external magnetic field.
It is driven by the Berry curvature that acts an effective magnetic field in momentum space.
Based on the mechanics of anomalous Hall effect, non-linear Hall effect due to Berry curvature fluctuation is predicted and also observed in non-magnetic material without any magnetic field.
In this talk, a numerical approach solution is presented to study the non-linear Hall effect driven by the magnetic field.
The equation of motion of electron is
r =-1/ℏ ∂E ( k ) / ∂k + k ×Ω(k)
ℏ k = q (E + v ×B )
based on the semi-classical transport theory.
According to the equation of motion, the test particle method is employed to trace particle trajectories and to determine the transportation.
This work opens a new avenue to investigate the transport in semiclassical region
and establishes a connection between ordinary Hall effect and non-linear Hall effect.