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27 April 2024
 
  » arxiv » cond-mat/0005423

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Localization Transition in Multilayered Disordered Systems
S. N. Evangelou Shi-Jie Xiong P. Markov D. E. Katsanos ;
Date 24 May 2000
Subject Disordered Systems and Neural Networks | cond-mat.dis-nn
Affiliation Department of Physics, University of Ioannina, Greece Department of Physics and National Laboratory of Nanjing University, China, Institute of Physics, Slovak Acad. Sci, Slovakia
AbstractThe Anderson delocalization-localization transition is studied in multilayered systems with randomly placed interlayer bonds of density $p$ and strength $t$. In the absence of diagonal disorder (W=0), following an appropriate perturbation expansion, we estimate the mean free paths in the main directions and verify by scaling of the conductance that the states remain extended for any finite $p$, despite the interlayer disorder. In the presence of additional diagonal disorder ($W > 0$) we obtain an Anderson transition with critical disorder $W_c$ and localization length exponent $ u$ independently of the direction. The critical conductance distribution $P_{c}(g)$ varies, however, for the parallel and the perpendicular directions. The results are discussed in connection to disordered anisotropic materials.
Source arXiv, cond-mat/0005423
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