PERTURBATION-THEORY FOR THE RANDOM DIMER MODEL

被引：90

作者：

BOVIER, A

机构：

[1] Inst. fur Math., Ruhr-Univ.-Bochum

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 05期

关键词：

D O I：

10.1088/0305-4470/25/5/011

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a one-dimensional tight binding model with a random potential taking two values +/- upsilon, with the restriction that on pairs of two neighbouring sites the potentials take the same value. This random dimer model, proposed by Dunlap, Phillips and Wu, has a vanishing Lyapunov exponent for the energy E = +/- upsilon. We compute the Lyapunov exponent and the density of states perturbatively in the vicinity of this energy using the invariant measure formalism.

引用

页码：1021 / 1029

页数：9

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