Localization and absence of Breit-Wigner form for cauchy random band matrices

被引：0
作者：
Frahm, KM [1 ]
机构：
[1] Univ Toulouse 3, CNRS, UMR 5626, Phys Quant Lab, F-31062 Toulouse, France
来源：
ELECTRONIC CORRELATIONS: FROM MESO- TO NANO-PHYSICS | 2001年
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中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
We analytically calculate the local density of states for Cauchy random band matrices with strongly fluctuating diagonal elements. The Breit-Wigner form for ordinary band matrices is replaced by a Levy distribution of index mu = 1/2 and the characteristic energy scale a is strongly enhanced as compared to the Breit-Wigner width. The unperturbed eigenstates decay according to the non-exponential law proportional to e(-root alpha t) . We also discuss the localization length for this type of band matrices.
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页码：279 / 282
页数：4
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