Sum rule of Hall conductance in a random quantum phase transition

被引：58

作者：

Hatsugai, Y

Ishibashi, K

Morita, Y

机构：

[1] Univ Tokyo, Dept Appl Phys, Bunkyo Ku, Tokyo 113, Japan

[2] Japan Sci & Technol Corp, PRESTO, Tokyo, Japan

来源：

PHYSICAL REVIEW LETTERS | 1999年 / 83卷 / 11期

关键词：

D O I：

10.1103/PhysRevLett.83.2246

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Hall conductance sigma(xy) of two-dimensional lattice electrons in a random potential is investigated. The randomness induces a quantum phase transition where the sum rule of sigma(xy) plays an important role. Using the string (anyon) gauge, numerical study becomes possible in sufficiently weak magnetic fields essential to the floating scenario in the continuum model. Topological objects in the Bloch wave functions (charged vortices) are obtained explicitly. Anomalous plateau transitions (Delta sigma(xy) = 2, 3,... > 1) and the trajectory of delocalized states are discussed as well.

引用

收藏

页码：2246 / 2249

页数：4

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