Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2005-03-07
Journal of Physics A: Mathematical and General 38 (2005) L235-L240
Physics
Condensed Matter
Disordered Systems and Neural Networks
Scientific paper
10.1088/0305-4470/38/14/L05
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.
Leschke Hajo
Warzel Simone
Weichlein Alexandra
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