Ballistic transport in random magnetic fields with anisotropic long-ranged correlations
Abstract
We present exact theoretical results about energetic and dynamic properties of a spinless charged quantum particle on the Euclidean plane subjected to a perpendicular random magnetic field of Gaussian type with non-zero mean. Our results refer to the simplifying but remarkably illuminating limiting case of an infinite correlation length along one direction and a finite but strictly positive correlation length along the perpendicular direction in the plane. They are therefore ``random analogs'' of results first obtained by A. Iwatsuka in 1985 and by J. E. M\"uller in 1992, which are greatly esteemed, in particular for providing a basic understanding of transport properties in certain quasi-two-dimensional semiconductor heterostructures subjected to non-random inhomogeneous magnetic fields.
Keywords
Cite
@article{arxiv.cond-mat/0503154,
title = {Ballistic transport in random magnetic fields with anisotropic long-ranged correlations},
author = {Hajo Leschke and Simone Warzel and Alexandra Weichlein},
journal= {arXiv preprint arXiv:cond-mat/0503154},
year = {2007}
}