Anderson localization problem: An exact solution for 2-D anisotropic systems

被引：6
|
作者：
Kuzovkov, V. N.
von Niessen, W.
机构：
[1] Univ Latvia, Inst Solid State Phys, LV-1063 Riga, Latvia
[2] Tech Univ Carolo Wilhelmina Braunschweig, Inst Phys & Theoret Chem, D-38106 Braunschweig, Germany
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2007年 / 377卷 / 01期
关键词：
random systems; Anderson localization; phase diagram;
D O I：
10.1016/j.physa.2006.11.005
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Our previous results [V.N. Kuzovkov, W. von Niessen, V. Kashcheyevs, O. Hein, J. Phys. Condens. Matter 14 (2002) 13777] dealing with the analytical solution of the two-dimensional (2-D) Anderson localization problem due to disorder is generalized for anisotropic systems (two different hopping matrix elements in transverse directions). We discuss the mathematical nature of the metal-insulator phase transition which occurs in the 2-D case, in contrast to the I-D case, where such a phase transition does not occur. In anisotropic systems two localization lengths arise instead of only one length. (c) 2006 Elsevier B.V. All rights reserved.
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页码：115 / 124
页数：10
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