Exclusion statistics for non-Abelian quantum Hall states

被引：19

作者：

Schoutens, K ^{[1
]}

机构：

[1] Inst Theoret Phys, NL-1018 XE Amsterdam, Netherlands

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 81卷 / 09期

关键词：

D O I：

10.1103/PhysRevLett.81.1929

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We determine the exclusion statistics properties of the fundamental edge quasiparticles over a specific v= 1/2 non-Abelian quantum Hall state known as the q = 2 Pfaffian state. The fundamental excitations are the edge electrons of charge -e and the edge quasiholes of charge +e/4. We explicitly determine thermodynamic distribution functions and establish a duality which generalizes the duality for fractional exclusion statistics as described by F. D. M. Haldane.

引用

收藏

页码：1929 / 1932

页数：4

相关论文

共 16 条

[1] Direct observation of a fractional charge [J].

dePicciotto, R ;

Reznikov, M ;

Heiblum, M ;

Umansky, V ;

Bunin, G ;

Mahalu, D .

NATURE, 1997, 389 (6647) :162-164

[2] ONE-DIMENSIONAL STATISTICAL-MECHANICS FOR IDENTICAL PARTICLES - THE CALOGERO AND ANYON CASES [J].

DEVEIGY, AD ;

OUVRY, S .

MODERN PHYSICS LETTERS B, 1995, 9 (05) :271-283

[3] EQUATION OF STATE OF AN ANYON GAS IN A STRONG MAGNETIC-FIELD [J].

DEVEIGY, AD ;

OUVRY, S .

PHYSICAL REVIEW LETTERS, 1994, 72 (05) :600-603

[4] Higher-spin generalization of fractional exclusion statistics [J].

Fukui, T ;

Kawakami, N ;

Yang, SK .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1996, 65 (06) :1617-1621

[5] Quantum antidot as an electrometer: Observation of fractional charge [J].

Goldman, VJ .

PHYSICA E, 1997, 1 (1-4) :15-20

[6] PAIRED HALL STATES [J].

GREITER, M ;

WEN, XG ;

WILCZEK, F .

NUCLEAR PHYSICS B, 1992, 374 (03) :567-614

[7] FRACTIONAL STATISTICS IN ARBITRARY DIMENSIONS - A GENERALIZATION OF THE PAULI PRINCIPLE [J].

HALDANE, FDM .

PHYSICAL REVIEW LETTERS, 1991, 67 (08) :937-940

[8]

Isakov S. B., 1994, Modern Physics Letters B, V8, P319, DOI 10.1142/S0217984994000327

[9] NONABELIONS IN THE FRACTIONAL QUANTUM HALL-EFFECT [J].

MOORE, G ;

READ, N .

NUCLEAR PHYSICS B, 1991, 360 (2-3) :362-396

[10] 2n-quasihole states realize 2(n-1)-dimensional spinor braiding statistics in paired quantum Hall states [J].

Nayak, C ;

Wilczek, F .

NUCLEAR PHYSICS B, 1996, 479 (03) :529-553