Liouville theory as a model for prelocalized states in disordered conductors

被引：81

作者：

Kogan, II ^{[1
]}

Mudry, C ^{[1
]}

Tsvelik, AM ^{[1
]}

机构：

[1] MIT,DEPT PHYS,CAMBRIDGE,MA 02139

来源：

PHYSICAL REVIEW LETTERS | 1996年 / 77卷 / 04期

关键词：

D O I：

10.1103/PhysRevLett.77.707

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is established; that the distribution of the zero energy eigenfunctions of (2 + 1)-dimensional Dirac electrons in a random gauge potential is described by the Liouville model. This model has a line of critical points parametrized by the strength of disorder and the scaling dimensions of the inverse participation ratios coincide with the dimensions obtained in the conventional localization theory. From this fact we conclude that the renormalization group trajectory of the latter theory lies in the vicinity of the line of critical points of the Liouville model.

引用

页码：707 / 710

页数：4

共 32 条

[1] GROUND-STATE OF A SPIN-1-2 CHARGED-PARTICLE IN A 2-DIMENSIONAL MAGNETIC-FIELD [J].