Magnetotransport through Random Antidot Lattices

Abstract

Numerical simulations are performed on the electron transport throughrandom arrays of antidots in a magnetic field. Using the linear response theory, we reproduce two features which were clearly observed in experiments, that is, (1) disappearance of a peak in the magnetoresistivityof random antidot arrays and (2) anisotropy of the magnetoresistivities of anisotropically random arrays. Further we illustrate that the anisotropy isclosely related to the characteristic diffusion of the electron.