{ "id": "cond-mat/0503154", "version": "v2", "published": "2005-03-07T16:26:46.000Z", "updated": "2005-05-12T14:06:38.000Z", "title": "Ballistic transport in random magnetic fields with anisotropic long-ranged correlations", "authors": [ "Hajo Leschke", "Simone Warzel", "Alexandra Weichlein" ], "journal": "Journal of Physics A: Mathematical and General 38 (2005) L235-L240", "doi": "10.1088/0305-4470/38/14/L05", "categories": [ "cond-mat.dis-nn" ], "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.", "revisions": [ { "version": "v2", "updated": "2005-05-12T14:06:38.000Z" } ], "analyses": { "keywords": [ "anisotropic long-ranged correlations", "ballistic transport", "perpendicular random magnetic field", "non-random inhomogeneous magnetic fields", "infinite correlation length" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005cond.mat..3154L" } } }