Volume 47, Number 2, July II 1999
|240 - 246
|Condensed matter: electronic structure, electrical, magnetic and optical properties
|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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.