Volume 47, Number 2, July II 1999
|Page(s)||240 - 246|
|Section||Condensed matter: electronic structure, electrical, magnetic and optical properties|
|Published online||01 September 2002|
Localization of fermions in an anisotropic random magnetic field
Department of Physics, The Pennsylvania State University University Park, PA 16802, USA Institute for Theoretical Physics, University of California Santa Barbara, CA 93106, USA
Accepted: 25 May 1999
We study the localization of fermions in an anisotropic random magnetic field in two dimensions. It is assumed that the randomness in a particular direction is stronger than those in the other directions. We consider a network model of zero-field contours, where there are two types of randomness —the random tunneling matrix element at the saddle points and the unidirectional random variation of the number of fermionic states following zero-field contours. After averaging over the random complex tunneling amplitude, the problem is mapped to an random exchange quantum spin chain in the limit. We suggest that the fermionic state becomes critical in an anisotropic fashion.
PACS: 72.10.Bg – General formulation of transport theory / 72.15.Rn – Localization effects (Anderson or weak localization) / 71.55.Jv – Disordered structures; amorphous and glassy solids
© EDP Sciences, 1999
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