THE NONCOMMUTATIVE GEOMETRY OF THE QUANTUM HALL-EFFECT

被引：472

作者：

BELLISSARD, J ^{[1
]}

VANELST, A ^{[1
]}

SCHULZBALDES, H ^{[1
]}

机构：

[1] UNIV TOULOUSE 3,PHYS QUANT LAB,F-31062 TOULOUSE,FRANCE

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1994年 / 35卷 / 10期

关键词：

D O I：

10.1063/1.530758

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An overview of the integer quantum Hall effect is given. A mathematical framework using nonommutative geometry as defined by Connes is prepared. Within this framework, it is proved that the Hall conductivity is quantized and that plateaux occur when the Fermi energy varies in a region of localized states.

引用

页码：5373 / 5451

页数：79

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