Anisotropic resistivity tensor from disk geometry magneto-conductance

Abstract

Magneto-transport measurements on two dimensional van der Waals heterostructures have recently shown signatures of uniaxial anisotropy. Such measurements are almost exclusively performed in a Hall bar geometry which makes it difficult to extract the full resistivity tensor. The goal of this paper is to theoretically analyze anisotropic magneto-conductance in a homogeneous disk geometry and to provide a closed form expression for the electrical potential anywhere on the disk if the current source and drain are located somewhere on the circumference. This expression can then be used to experimentally extract the full conductivity tensor, and by a simple inversion, the full resistivity tensor.