THE STATISTICS OF EIGENVECTOR COMPONENTS OF RANDOM BAND MATRICES - ANALYTICAL RESULTS

被引：74

作者：

MIRLIN, AD

FYODOROV, YV

机构：

[1] St. Petersburg Nucl. Phys. Inst., Catchina

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 12期

关键词：

D O I：

10.1088/0305-4470/26/12/012

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By using a supersymmetric formalism we calculate analytically all higher moments P(q) = SIGMA(n)\PSI(n)\2q generalizing the inverse participation ratio P2 where PSI(n)(1 less-than-or-equal-to n less-than-or-equal N) stands for the nth component of an eigenvector of a large random matrix with a band structure. On this basis we reconstruct the whole probability distribution function of eigenvector components. The relation with known numerical results is discussed.

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页码：L551 / L558

页数：8

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