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Volumn 35, Issue 3, 2002, Pages 447-462

Parafermion statistics and application to non-abelian quantum hall states

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EID: 0037169455     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/3/301     Document Type: Article
Times cited : (33)

References (46)
  • 1
    • 22244440948 scopus 로고
    • Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitations
    • Laughlin R B 1983 Anomalous quantum Hall effect: an incompressible quantum fluid with fractionally charged excitations Phys. Rev. Lett. 50 1395
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 1395
    • Laughlin, R.B.1
  • 2
    • 1842460762 scopus 로고
    • Nonabelions in the fractional quantum Hall effect
    • Moore G and Read N 1991 Nonabelions in the fractional quantum Hall effect Nucl. Phys. B 360 362
    • (1991) Nucl. Phys. B , vol.360 , pp. 362
    • Moore, G.1    Read, N.2
  • 4
    • 0000515995 scopus 로고    scopus 로고
    • Exact quantization of the even-denominator fractional quantum Hall state at v = 5/2 Landau level filling factor
    • Pan W, Xia J-S, Shvarts V, Adams D E, Störmer H L, Tsui D C, Pfeiffer L N, Baldwin K W and West K W 1999 Exact quantization of the even-denominator fractional quantum Hall state at v = 5/2 Landau level filling factor Phys. Rev. Lett. 83 3530 (Pan W, Xia J-S, Shvarts V, Adams D E, Störmer H L, Tsui D C, Pfeiffer L N, Baldwin K W and West K W 1999 Preprint cond-mat/9907356)
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 3530
    • Pan, W.1    Xia, J.-S.2    Shvarts, V.3    Adams, D.E.4    Störmer, H.L.5    Tsui, D.C.6    Pfeiffer, L.N.7    Baldwin, K.W.8    West, K.W.9
  • 5
    • 0000515995 scopus 로고    scopus 로고
    • 1999 Preprint cond-mat/9907356
    • Pan W, Xia J-S, Shvarts V, Adams D E, Störmer H L, Tsui D C, Pfeiffer L N, Baldwin K W and West K W 1999 Exact quantization of the even-denominator fractional quantum Hall state at v = 5/2 Landau level filling factor Phys. Rev. Lett. 83 3530 (Pan W, Xia J-S, Shvarts V, Adams D E, Störmer H L, Tsui D C, Pfeiffer L N, Baldwin K W and West K W 1999 Preprint cond-mat/9907356)
    • Pan, W.1    Xia, J.-S.2    Shvarts, V.3    Adams, D.E.4    Störmer, H.L.5    Tsui, D.C.6    Pfeiffer, L.N.7    Baldwin, K.W.8    West, K.W.9
  • 6
    • 0035303437 scopus 로고    scopus 로고
    • Paired fractional quantum Hall states and the v = 5/2 puzzle
    • Read N 2001 Paired fractional quantum Hall states and the v = 5/2 puzzle Physica B 298 121 (Read N 2000 Preprint cond-mat/0011338)
    • (2001) Physica B , vol.298 , pp. 121
    • Read, N.1
  • 7
    • 0035303437 scopus 로고    scopus 로고
    • 2000 Preprint cond-mat/0011338
    • Read N 2001 Paired fractional quantum Hall states and the v = 5/2 puzzle Physica B 298 121 (Read N 2000 Preprint cond-mat/0011338)
    • Read, N.1
  • 8
    • 0000011912 scopus 로고    scopus 로고
    • Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level
    • Read N and Rezayi E 1999 Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level Phys. Rev. B 59 8084 (Read N and Rezayi E 1998 Preprint cond-mat/9809384)
    • (1999) Phys. Rev. B , vol.59 , pp. 8084
    • Read, N.1    Rezayi, E.2
  • 9
    • 0000011912 scopus 로고    scopus 로고
    • 1998 Preprint cond-mat/9809384
    • Read N and Rezayi E 1999 Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level Phys. Rev. B 59 8084 (Read N and Rezayi E 1998 Preprint cond-mat/9809384)
    • Read, N.1    Rezayi, E.2
  • 10
    • 0000729789 scopus 로고    scopus 로고
    • New class of non-abelian spin-singlet quantum Hall states
    • Ardonne E and Schoutens K 1999 New class of non-abelian spin-singlet quantum Hall states Phys. Rev. Lett. 82 5096 (Ardonne E and Schoutens K 1998 Preprint cond-mat/9811352)
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 5096
    • Ardonne, E.1    Schoutens, K.2
  • 11
    • 0000729789 scopus 로고    scopus 로고
    • 1998 Preprint cond-mat/9811352
    • Ardonne E and Schoutens K 1999 New class of non-abelian spin-singlet quantum Hall states Phys. Rev. Lett. 82 5096 (Ardonne E and Schoutens K 1998 Preprint cond-mat/9811352)
    • Ardonne, E.1    Schoutens, K.2
  • 12
    • 39249085222 scopus 로고    scopus 로고
    • Quantum phases of vortices in rotating Bose-Einstein condensates
    • Cooper N R, Wilkin N K and Gunn J M F 2001 Quantum phases of vortices in rotating Bose-Einstein condensates Phys. Rev. Lett. 87 120405 (Cooper N R, Wilkin N K and Gunn J M F 2001 Preprint cond-mat/0107005)
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 120405
    • Cooper, N.R.1    Wilkin, N.K.2    Gunn, J.M.F.3
  • 13
    • 39249085222 scopus 로고    scopus 로고
    • 2001 Preprint cond-mat/0107005
    • Cooper N R, Wilkin N K and Gunn J M F 2001 Quantum phases of vortices in rotating Bose-Einstein condensates Phys. Rev. Lett. 87 120405 (Cooper N R, Wilkin N K and Gunn J M F 2001 Preprint cond-mat/0107005)
    • Cooper, N.R.1    Wilkin, N.K.2    Gunn, J.M.F.3
  • 14
    • 0001007393 scopus 로고    scopus 로고
    • Parafermion statistics and quasihole excitations for the generalizations of the paired quantum Hall states
    • Gurarie V and Rezayi E 2000 Parafermion statistics and quasihole excitations for the generalizations of the paired quantum Hall states Phys. Rev. B 61 5473 (Gurarie V and Rezayi E 1998 Preprint cond-mat/9812288)
    • (2000) Phys. Rev. B , vol.61 , pp. 5473
    • Gurarie, V.1    Rezayi, E.2
  • 15
    • 0001007393 scopus 로고    scopus 로고
    • 1998 Preprint cond-mat/9812288
    • Gurarie V and Rezayi E 2000 Parafermion statistics and quasihole excitations for the generalizations of the paired quantum Hall states Phys. Rev. B 61 5473 (Gurarie V and Rezayi E 1998 Preprint cond-mat/9812288)
    • Gurarie, V.1    Rezayi, E.2
  • 16
    • 0001380224 scopus 로고    scopus 로고
    • Non-abelian spin-singlet quantum Hall states: Wave functions and quasihole state counting
    • Ardonne E, Read N, Rezayi E and Schoutens K 2001 Non-abelian spin-singlet quantum Hall states: wave functions and quasihole state counting Nucl. Phys. B 607 549 (Ardonne E, Read N, Rezayi E and Schoutens K 2001 Preprint cond-mat/0104250)
    • (2001) Nucl. Phys. B , vol.607 , pp. 549
    • Ardonne, E.1    Read, N.2    Rezayi, E.3    Schoutens, K.4
  • 17
    • 0001380224 scopus 로고    scopus 로고
    • 2001 Preprint cond-mat/0104250
    • Ardonne E, Read N, Rezayi E and Schoutens K 2001 Non-abelian spin-singlet quantum Hall states: wave functions and quasihole state counting Nucl. Phys. B 607 549 (Ardonne E, Read N, Rezayi E and Schoutens K 2001 Preprint cond-mat/0104250)
    • Ardonne, E.1    Read, N.2    Rezayi, E.3    Schoutens, K.4
  • 18
    • 0003057390 scopus 로고
    • New conformal field theories associated with Lie algebras and their partition functions
    • Gepner D 1987 New conformal field theories associated with Lie algebras and their partition functions Nucl. Phys. B 290 10
    • (1987) Nucl. Phys. B , vol.290 , pp. 10
    • Gepner, D.1
  • 19
    • 0000434548 scopus 로고    scopus 로고
    • Quasiholes and fermionic zero modes of paired fractional quantum Hall states: The mechanism for nonabelian statistics
    • Read N and Rezayi E 1996 Quasiholes and fermionic zero modes of paired fractional quantum Hall states: the mechanism for nonabelian statistics Phys. Rev. B 54 16864 (Read N and Rezayi E 1996 Preprint cond-mat/9609079)
    • (1996) Phys. Rev. B , vol.54 , pp. 16864
    • Read, N.1    Rezayi, E.2
  • 20
    • 0000434548 scopus 로고    scopus 로고
    • 1996 Preprint cond-mat/9609079
    • Read N and Rezayi E 1996 Quasiholes and fermionic zero modes of paired fractional quantum Hall states: the mechanism for nonabelian statistics Phys. Rev. B 54 16864 (Read N and Rezayi E 1996 Preprint cond-mat/9609079)
    • Read, N.1    Rezayi, E.2
  • 21
    • 0035832125 scopus 로고    scopus 로고
    • Parafermion Hall states from coset projections of abelian conformal theories
    • Cappelli A, Georgiev L S and Todorov I T 2001 Parafermion Hall states from coset projections of abelian conformal theories Nucl. Phys. B 599 499 (Cappelli A, Georgiev L S and Todorov I T 2000 Preprint hep-th/0009229)
    • (2001) Nucl. Phys. B , vol.599 , pp. 499
    • Cappelli, A.1    Georgiev, L.S.2    Todorov, I.T.3
  • 22
    • 0035832125 scopus 로고    scopus 로고
    • 2000 Preprint hep-th/0009229
    • Cappelli A, Georgiev L S and Todorov I T 2001 Parafermion Hall states from coset projections of abelian conformal theories Nucl. Phys. B 599 499 (Cappelli A, Georgiev L S and Todorov I T 2000 Preprint hep-th/0009229)
    • Cappelli, A.1    Georgiev, L.S.2    Todorov, I.T.3
  • 23
    • 0033577651 scopus 로고    scopus 로고
    • Exclusion statistics in conformal field theory - Generalized fermions and spinons for level-1 WZW theories
    • Bouwknegt P and Schoutens K 1999 Exclusion statistics in conformal field theory - generalized fermions and spinons for level-1 WZW theories Nucl. Phys. B 547 501 (Bouwknegt P and Schoutens K 1998 Preprint hep-th/9810113)
    • (1999) Nucl. Phys. B , vol.547 , pp. 501
    • Bouwknegt, P.1    Schoutens, K.2
  • 24
    • 0033577651 scopus 로고    scopus 로고
    • 1998 Preprint hep-th/9810113
    • Bouwknegt P and Schoutens K 1999 Exclusion statistics in conformal field theory - generalized fermions and spinons for level-1 WZW theories Nucl. Phys. B 547 501 (Bouwknegt P and Schoutens K 1998 Preprint hep-th/9810113)
    • Bouwknegt, P.1    Schoutens, K.2
  • 25
    • 0001108230 scopus 로고    scopus 로고
    • Exclusion statistics in conformal field theory spectra
    • Schoutens K 1997 Exclusion statistics in conformal field theory spectra Phys. Rev. Lett. 79 2608 (Schoutens K 1997 Preprint cond-mat/9706166)
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 2608
    • Schoutens, K.1
  • 26
    • 0001108230 scopus 로고    scopus 로고
    • 1997 Preprint cond-mat/9706166
    • Schoutens K 1997 Exclusion statistics in conformal field theory spectra Phys. Rev. Lett. 79 2608 (Schoutens K 1997 Preprint cond-mat/9706166)
    • Schoutens, K.1
  • 27
    • 0000062011 scopus 로고    scopus 로고
    • The universal chiral partition function for exclusion statistics
    • ed M T Batchelor and L T Wille (Singapore: World Scientific)
    • Berkovich A and McCoy B 1999 The universal chiral partition function for exclusion statistics Statistical Physics on the Eve of the 21st Century (Series on Adv. in Stat. Mech. vol. 14) ed M T Batchelor and L T Wille (Singapore: World Scientific) pp 240-56 (Berkovich A and McCoy B 1998 Preprint hep-th/9808013)
    • (1999) Statistical Physics on the Eve of the 21st Century (Series on Adv. in Stat. Mech.) , vol.14 , pp. 240-256
    • Berkovich, A.1    McCoy, B.2
  • 28
    • 0042499167 scopus 로고    scopus 로고
    • 1998 Preprint hep-th/9808013
    • Berkovich A and McCoy B 1999 The universal chiral partition function for exclusion statistics Statistical Physics on the Eve of the 21st Century (Series on Adv. in Stat. Mech. vol. 14) ed M T Batchelor and L T Wille (Singapore: World Scientific) pp 240-56 (Berkovich A and McCoy B 1998 Preprint hep-th/9808013)
    • Berkovich, A.1    McCoy, B.2
  • 30
    • 0001057783 scopus 로고
    • Characters in conformal field theories from thermodynamic Bethe ansatz
    • Kuniba A, Nakanishi T and Suzuki J 1993 Characters in conformal field theories from thermodynamic Bethe ansatz Mod. Phys. Lett. A 8 1649 (Kuniba A, Nakanishi T and Suzuki J 1993 Preprint hep-th/9301018)
    • (1993) Mod. Phys. Lett. A , vol.8 , pp. 1649
    • Kuniba, A.1    Nakanishi, T.2    Suzuki, J.3
  • 31
    • 0042999917 scopus 로고    scopus 로고
    • 1993 Preprint hep-th/9301018
    • Kuniba A, Nakanishi T and Suzuki J 1993 Characters in conformal field theories from thermodynamic Bethe ansatz Mod. Phys. Lett. A 8 1649 (Kuniba A, Nakanishi T and Suzuki J 1993 Preprint hep-th/9301018)
    • Kuniba, A.1    Nakanishi, T.2    Suzuki, J.3
  • 32
    • 0035256187 scopus 로고    scopus 로고
    • Non-abelian quantum Hall states - Exclusion statistics K-matrices and duality
    • Ardonne E, Bouwknegt P and Schoutens K 2001 Non-abelian quantum Hall states - exclusion statistics K-matrices and duality J. Stat. Phys. 102 421 (Ardonne E, Bouwknegt P and Schoutens K 2000 Preprint cond-mat/0004084)
    • (2001) J. Stat. Phys. , vol.102 , pp. 421
    • Ardonne, E.1    Bouwknegt, P.2    Schoutens, K.3
  • 33
    • 85204067965 scopus 로고    scopus 로고
    • 2000 Preprint cond-mat/0004084
    • Ardonne E, Bouwknegt P and Schoutens K 2001 Non-abelian quantum Hall states - exclusion statistics K-matrices and duality J. Stat. Phys. 102 421 (Ardonne E, Bouwknegt P and Schoutens K 2000 Preprint cond-mat/0004084)
    • Ardonne, E.1    Bouwknegt, P.2    Schoutens, K.3
  • 34
    • 85088336762 scopus 로고    scopus 로고
    • Multipartitions, generalized Durfee squares and affine Lie algebra characters
    • to appear
    • Bouwknegt P Multipartitions, generalized Durfee squares and affine Lie algebra characters J. Aust. Math. Soc. A to appear (Bouwknegt P 2000 Preprint math.CO/0002223)
    • J. Aust. Math. Soc. A.
    • Bouwknegt, P.1
  • 35
    • 0041497420 scopus 로고    scopus 로고
    • 2000 Preprint math.CO/0002223
    • Bouwknegt P Multipartitions, generalized Durfee squares and affine Lie algebra characters J. Aust. Math. Soc. A to appear (Bouwknegt P 2000 Preprint math.CO/0002223)
    • Bouwknegt, P.1
  • 36
    • 0021422438 scopus 로고
    • Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
    • Andrews G E, Baxter R J and Forrester P J 1984 Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities J. Stat. Phys. 35 193
    • (1984) J. Stat. Phys. , vol.35 , pp. 193
    • Andrews, G.E.1    Baxter, R.J.2    Forrester, P.J.3
  • 40
    • 0033551977 scopus 로고    scopus 로고
    • Non-abelian exclusion statistics
    • Guruswamy S and Schoutens K 1999 Non-abelian exclusion statistics Nucl. Phys. B 556 530 (Guruswamy S and Schoutens K 1999 Preprint cond-mat/9903045)
    • (1999) Nucl. Phys. B , vol.556 , pp. 530
    • Guruswamy, S.1    Schoutens, K.2
  • 41
    • 0033551977 scopus 로고    scopus 로고
    • 1999 Preprint cond-mat/9903045
    • Guruswamy S and Schoutens K 1999 Non-abelian exclusion statistics Nucl. Phys. B 556 530 (Guruswamy S and Schoutens K 1999 Preprint cond-mat/9903045)
    • Guruswamy, S.1    Schoutens, K.2
  • 42
    • 0001007394 scopus 로고    scopus 로고
    • EC-matrices for non-abelian quantum Hall states
    • Ardonne E, Bouwknegt P, Guruswamy S and Schoutens K 2000 EC-matrices for non-abelian quantum Hall states Phys. Rev. B 61 10 298 (Ardonne E, Bouwknegt P, Guruswamy S and Schoutens K 1999 Preprint cond-mat/9908285)
    • (2000) Phys. Rev. B , vol.61 , pp. 10298
    • Ardonne, E.1    Bouwknegt, P.2    Guruswamy, S.3    Schoutens, K.4
  • 43
    • 0001007394 scopus 로고    scopus 로고
    • 1999 Preprint cond-mat/9908285
    • Ardonne E, Bouwknegt P, Guruswamy S and Schoutens K 2000 EC-matrices for non-abelian quantum Hall states Phys. Rev. B 61 10 298 (Ardonne E, Bouwknegt P, Guruswamy S and Schoutens K 1999 Preprint cond-mat/9908285)
    • Ardonne, E.1    Bouwknegt, P.2    Guruswamy, S.3    Schoutens, K.4
  • 45
    • 0002270591 scopus 로고
    • Theory of the quantized Hall conductance
    • Halperin B 1983 Theory of the quantized Hall conductance Helv. Phys. Acta 56 75
    • (1983) Helv. Phys. Acta , vol.56 , pp. 75
    • Halperin, B.1


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