Magnetotransport in inhomogeneous magnetic fields

TL;DR

This paper numerically investigates quantum transport in two-dimensional systems with inhomogeneous magnetic fields, revealing how uniform magnetic fields suppress conductivity and reach saturation independent of fluctuation magnitude.

Contribution

It introduces a numerical analysis of magnetotransport in inhomogeneous magnetic fields, highlighting the suppression and saturation behavior of conductivity under uniform magnetic fields.

Findings

Conductivity is strongly suppressed by uniform magnetic fields.

Conductivity saturates when the uniform field is comparable to the fluctuation magnitude.

Saturation conductivity is insensitive to the fluctuation magnitude.

Abstract

Quantum transport in inhomogeneous magnetic fields is investigated numerically in two-dimensional systems using the equation of motion method. In particular, the diffusion of electrons in random magnetic fields in the presence of additional weak uniform magnetic fields is examined. It is found that the conductivity is strongly suppressed by the additional uniform magnetic field and saturates when the uniform magnetic field becomes on the order of the fluctuation of the random magnetic field. The value of the conductivity at this saturation is found to be insensitive to the magnitude of the fluctuation of the random field. The effect of random potential on the magnetoconductance is also discussed.