Probing non-Abelian statistics with quasiparticle interferometry

被引：89

作者：

Bonderson, Parsa ^{[1
]}

Shtengel, Kirill

Slingerland, J. K.

机构：

[1] CALTECH, Pasadena, CA 91125 USA

[2] Univ Calif Riverside, Dept Phys, Riverside, CA 92521 USA

[3] Univ Calif Santa Barbara, Microsoft Res, Stn Q, Santa Barbara, CA 93106 USA

来源：

PHYSICAL REVIEW LETTERS | 2006年 / 97卷 / 01期

关键词：

D O I：

10.1103/PhysRevLett.97.016401

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We examine interferometric experiments in systems that exhibit non-Abelian braiding statistics, expressing outcomes in terms of the modular S-matrix. In particular, this result applies to fractional quantum Hall interferometry, and we give a detailed treatment of the Read-Rezayi states, providing explicit predictions for the recently observed nu=12/5 plateau.

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页数：4

相关论文

共 40 条

[1] Separation of spin and charge in paired spin-singlet quantum Hall states [J].

Ardonne, E ;

van Lankvelt, FJM ;

Ludwig, AWW ;

Schoutens, K .

PHYSICAL REVIEW B, 2002, 65 (04) :1-4

[2] New class of non-Abelian spin-singlet quantum Hall states [J].

Ardonne, E ;

Schoutens, K .

PHYSICAL REVIEW LETTERS, 1999, 82 (25) :5096-5099

[3]

BAIS FA, 1993, NUCL PHYS B, V393, P547, DOI 10.1016/0550-3213(93)90073-X

[4] QUANTUM SYMMETRIES IN DISCRETE GAUGE-THEORIES [J].

BAIS, FA ;

VANDRIEL, P ;

PROPITIUS, MD .

PHYSICS LETTERS B, 1992, 280 (1-2) :63-70

[5] Detecting non-Abelian statistics in the ν=5/2 fractional quantum Hall state -: art. no. 016803 [J].

Bonderson, P ;

Kitaev, A ;

Shtengel, K .

PHYSICAL REVIEW LETTERS, 2006, 96 (01)

[6] Aharonov-Bohm superperiod in a laughlin quasiparticle interferometer [J].

Camino, FE ;

Zhou, W ;

Goldman, VJ .

PHYSICAL REVIEW LETTERS, 2005, 95 (24)

[7] Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics [J].

Camino, FE ;

Zhou, W ;

Goldman, VJ .

PHYSICAL REVIEW B, 2005, 72 (07)

[8] Two point-contact interferometer for quantum Hall systems [J].

Chamon, CDC ;

Freed, DE ;

Kivelson, SA ;

Sondhi, SL ;

Wen, XG .

PHYSICAL REVIEW B, 1997, 55 (04) :2331-2343

[9] Topologically protected qubits from a possible non-Abelian fractional quantum Hall state [J].

Das Sarma, S ;

Freedman, M ;

Nayak, C .

PHYSICAL REVIEW LETTERS, 2005, 94 (16)

[10]

Di Francesco F., 1997, CONFORMAL FIELD THEO

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