ANALYTICITY OF THE DENSITY OF STATES IN THE ANDERSON MODEL ON THE BETHE LATTICE

被引：27

作者：

ACOSTA, V

KLEIN, A

机构：

[1] Department of Mathematics, University of California-Irvine, Irvine, 92717, California

来源：

JOURNAL OF STATISTICAL PHYSICS | 1992年 / 69卷 / 1-2期

关键词：

ANDERSON MODEL; BETHE LATTICE; RANDOM SCHRODINGER OPERATOR; DENSITY OF STATES;

D O I：

10.1007/BF01053794

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Let H = 1/2DELTA + V on l2(B), where B is the Bethe lattice and V(x), x is-an-element-of B, are i.i.d.r.v.'s with common probability distribution mu. It is shown that for distributions sufficiently close to the Cauchy distribution, the density of states rho(E) is analytic in a strip about the real axis.

引用

页码：277 / 305

页数：29

共 17 条

[1]

[Anonymous], 1987, SCHRODINGER OPERATOR

[2]

Berger M.S., 1977, PURE APPL MATH

[3]

Billingsley P., 1985, PROBABILITY MEASURE

[4] A SUPERSYMMETRIC TRANSFER-MATRIX AND DIFFERENTIABILITY OF THE DENSITY OF STATES IN THE ONE-DIMENSIONAL ANDERSON MODEL [J].