LOCALIZATION TRANSITION IN THE ANDERSON MODEL ON THE BETHE LATTICE - SPONTANEOUS SYMMETRY-BREAKING AND CORRELATION-FUNCTIONS

被引：111

作者：

MIRLIN, AD ^{[1
]}

FYODOROV, YV ^{[1
]}

机构：

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

来源：

NUCLEAR PHYSICS B | 1991年 / 366卷 / 03期

关键词：

D O I：

10.1016/0550-3213(91)90028-V

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We present the complete analytical solution of the Anderson model on the Bethe lattice. Within the scope of the supersymmetric approach the delocalization transition manifests itself as a spontaneous breaking of the UOSP(2,2/2,2) invariance and can be described by means of the order-parameter function. We attribute a clear physical meaning to this function providing the explicit connection with the known behaviour of Green functions in disordered systems. Apart from reproducing the known results for the position of the mobility edge, we calculate the density-density correlation function in both localized and extended phases. The found critical behaviour contradicts to the one-parameter scaling hypothesis, in agreement with results obtained in the framework of the supermatrix sigma-model on the Bethe lattice.

引用

页码：507 / 532

页数：26

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