ANALYTICAL DERIVATION OF THE SCALING LAW FOR THE INVERSE PARTICIPATION RATIO IN QUASI-ONE-DIMENSIONAL DISORDERED-SYSTEMS

被引：80

作者：

FYODOROV, YV ^{[1
]}

MIRLIN, AD ^{[1
]}

机构：

[1] UNIV ESSEN GESAMTHSCH,FACHBEREICH PHYS,W-4300 ESSEN 1,GERMANY

来源：

PHYSICAL REVIEW LETTERS | 1992年 / 69卷 / 07期

关键词：

D O I：

10.1103/PhysRevLett.69.1093

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a calculation of the inverse participation ratio in finite quasi-one-dimensional samples in the whole range of the scaling parameter within the framework of a one-dimensional nonlinear supermatrix sigma-model. The results are valid for both thick wires and random band matrices with large bandwidth and so are relevant for quantum chaos problems. The derived form of the scaling law exactly coincides with the empirical expression deduced earlier from results of computer simulations.

引用

页码：1093 / 1096

页数：4

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