ANOMALIES IN THE ONE-DIMENSIONAL ANDERSON MODEL AT WEAK DISORDER

被引：30

作者：

CAMPANINO, M ^{[1
]}

KLEIN, A ^{[1
]}

机构：

[1] UNIV CALIF IRVINE,DEPT MATH,IRVINE,CA 92717

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1990年 / 130卷 / 03期

关键词：

D O I：

10.1007/BF02096930

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that at the special energies E=2cosπp/q, the invariant measure, the Lyapunov exponent, and the density of states can be extended to zero disorder as C∞ functions in the disorder parameter. In particular, we obtain asymptotic series in the disorder parameter. This gives a rigorous proof of the existence of the anomalies originally discovered by Kappus and Wegner and studied by Derrida and Gardner and by Bovier and Klein. © 1990 Springer-Verlag.

引用

页码：441 / 456

页数：16

共 11 条

[1]

Bougerol P., 1985, PRODUCTS RANDOM MATR

[2] WEAK DISORDER EXPANSION OF THE INVARIANT MEASURE FOR THE ONE-DIMENSIONAL ANDERSON MODEL [J].