Real-space renormalization of the Chalker-Coddington model

被引：30
|
作者：
Arovas, DP
Janssen, M
Shapiro, B
机构：
[1] UNIV COLOGNE,INST THEORET PHYS,D-50937 COLOGNE,GERMANY
[2] TECHNION ISRAEL INST TECHNOL,DEPT PHYS,IL-32000 HAIFA,ISRAEL
来源：
PHYSICAL REVIEW B | 1997年 / 56卷 / 08期
关键词：
D O I：
10.1103/PhysRevB.56.4751
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We study a number of hierarchical network models related to the Chalker-Coddington model of quantum percolation. Our aim is to describe the physics of the quantum Hall transition. The hierarchical network models are constructed by combining series and parallel composition of quantum resistors. The localization-delocalization transition occurring in these models is treated by real-space renormalization techniques. Essentially, the localization-delocalization transition is due to a competition between two one-dimensional localization mechanisms.
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页码：4751 / 4759
页数：9
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