Localization in Highly Anisotropic Systems

Preprint

13 April 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9704107

Abstract

The localization behavior of the Anderson model with anisotropic hopping integral t for weakly coupled planes and weakly coupled chains is investigated both numerically with the transfer matrix method and analytically within the self-consistent theory of localization. It is found that the mobility edge is independent of the propagating direction. However, the correlation (localization) length in the extended (localized) side of the transition can be very different for the two directions. The critical disorder W$_c$ is found to vary from t$^{1 \over 4}$ for weakly coupled planes to t$^{1 \over 2}$ for weakly coupled chains.

Keywords

METHOD AND ANALYTICALLY
TRANSFER MATRIX METHOD
LOCALIZATION BEHAVIOR
ANISOTROPIC SYSTEMS
HIGHLY ANISOTROPIC
COUPLED PLANES
ANDERSON MODEL
COUPLED CHAINS
MOBILITY

All Related Versions

Version 1, 1997-04-13, ArXiv
Published version: Physical Review Letters, 76 (19), 3614.

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