DENSITY OF EIGENVALUES OF RANDOM BAND MATRICES

被引：27

作者：

KUS, M ^{[1
]}

LEWENSTEIN, M ^{[1
]}

HAAKE, F ^{[1
]}

机构：

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

来源：

PHYSICAL REVIEW A | 1991年 / 44卷 / 05期

关键词：

D O I：

10.1103/PhysRevA.44.2800

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Using methods of supersymmetry, we calculate the distribution of eigenvalues for random Hermitian band matrices. We show that, if the bandwidth b increases with the dimension of matrices N as b is-proportional-to N-beta with some beta > 0, the resulting eigenvalue distribution is given by Wigner's semicircle law as in the case of full random matrices of the Gaussian unitary ensemble.

引用

页码：2800 / 2808

页数：9

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