BRAID-GROUPS, ANYONS AND GAUGE-INVARIANCE - ON TOPOLOGICALLY NONTRIVIAL SURFACES

被引：0

作者：

HATSUGAI, Y ^{[1
]}

KOHMOTO, M ^{[1
]}

WU, YS ^{[1
]}

机构：

[1] UNIV UTAH, DEPT PHYS, SALT LAKE CITY, UT 84112 USA

来源：

PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT | 1992年 / 107期

关键词：

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The structure of braid groups on topologically nontrivial surfaces is reviewed. The physical meaning of the braid relations and their implications on quantum mechanical properties of anyonic quasiparticles are discussed. These include not only the restrictions on statistics of anyons but also the Aharonov-Bohm effect for the anyons on a surface with holes. Several results on the novel properties of anyons or their states, which were previously derived by microscopic considerations, are reproduced by this seemingly kinematic but topology dependent braid group analysis. It is suggested that in the thermodynamic limit, the global excitations in a system on a surface of nontrivial topology do not interfere with properties of local anyonic quasiparticles.

引用

页码：101 / 119

页数：19

共 36 条

[1]

AVORAS D, 1984, PHYS REV LETT, V53, P722

[2] A TOPOLOGICAL SPIN-STATISTICS THEOREM OR A USE OF THE ANTIPARTICLE [J].