GAUGE-INVARIANCE OF FRACTIONALLY CHARGED QUASI-PARTICLES AND HIDDEN TOPOLOGICAL ZN SYMMETRY

被引：28

作者：

WU, YS ^{[1
]}

HATSUGAI, Y ^{[1
]}

KOHMOTO, M ^{[1
]}

机构：

[1] UNIV TOKYO,INST SOLID STATE PHYS,MINATO KU,TOKYO 106,JAPAN

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 66卷 / 05期

关键词：

D O I：

10.1103/PhysRevLett.66.659

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the braid-group formalism we study the consequences of gauge invariance for fractionally charged anyonic quasiparticles in a two-dimensional multiply connected system. It is shown that gauge invariance requires multicomponent wave functions, and leads to the emergence of a hidden topological Z(n) symmetry with associated quantum number and unavoidable occurrence of level crossings for many-body eigenstates. In certain situations, it relates the fractional charge to anyon statistics. The implications for the the fractional quantum Hall effect are also discussed.

引用

页码：659 / 662

页数：4

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