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Volumn 80, Issue 15, 2009, Pages

Modified Coulomb gas construction of quantum Hall states from nonunitary conformal field theories

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EID: 72449163560     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.155324     Document Type: Article
Times cited : (19)

References (54)
  • 1
    • 22244440948 scopus 로고
    • 10.1103/PhysRevLett.50.1395
    • R. B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983). 10.1103/PhysRevLett.50. 1395
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 1395
    • Laughlin, R.B.1
  • 2
    • 0000270607 scopus 로고
    • 10.1103/PhysRevLett.63.199
    • J. K. Jain, Phys. Rev. Lett. 63, 199 (1989). 10.1103/PhysRevLett.63.199
    • (1989) Phys. Rev. Lett. , vol.63 , pp. 199
    • Jain, J.K.1
  • 4
    • 84926087383 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • J. K. Jain, Composite Fermions (Cambridge University Press, Cambridge, 2007).
    • (2007) Composite Fermions
    • Jain, J.K.1
  • 5
    • 1842460762 scopus 로고
    • 10.1016/0550-3213(91)90407-O;
    • G. Moore and N. Read, Nucl. Phys. B 360, 362 (1991) 10.1016/0550-3213(91) 90407-O
    • (1991) Nucl. Phys. B , vol.360 , pp. 362
    • Moore, G.1    Read, N.2
  • 9
    • 0000434548 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.54.16864
    • N. Read and E. H. Rezayi, Phys. Rev. B 54, 16864 (1996). 10.1103/PhysRevB.54.16864
    • (1996) Phys. Rev. B , vol.54 , pp. 16864
    • Read, N.1    Rezayi, E.H.2
  • 10
    • 0000011912 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.59.8084
    • N. Read and E. H. Rezayi, Phys. Rev. B 59, 8084 (1999). 10.1103/PhysRevB.59.8084
    • (1999) Phys. Rev. B , vol.59 , pp. 8084
    • Read, N.1    Rezayi, E.H.2
  • 12
    • 0000049832 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.61.10267
    • N. Read and D. Green, Phys. Rev. B 61, 10267 (2000). 10.1103/PhysRevB.61. 10267
    • (2000) Phys. Rev. B , vol.61 , pp. 10267
    • Read, N.1    Green, D.2
  • 13
    • 59249089187 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.79.045308
    • N. Read, Phys. Rev. B 79, 045308 (2009). 10.1103/PhysRevB.79.045308
    • (2009) Phys. Rev. B , vol.79 , pp. 045308
    • Read, N.1
  • 15
  • 16
    • 84926263620 scopus 로고
    • edited by R. E. Prange and S. M. Girvin (Springer-Verlag, New York
    • F. D. M. Haldane, in The Quantum Hall Effect, edited by, R. E. Prange, and, S. M. Girvin, (Springer-Verlag, New York, 1990), p. 303, Chap..
    • (1990) The Quantum Hall Effect , pp. 303
    • Haldane, F.D.M.1
  • 17
    • 63049125743 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.102.116801
    • S. Jolad and J. K. Jain, Phys. Rev. Lett. 102, 116801 (2009). 10.1103/PhysRevLett.102.116801
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 116801
    • Jolad, S.1    Jain, J.K.2
  • 28
  • 31
    • 0001549186 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.53.13559
    • M. Milovanović and N. Read, Phys. Rev. B 53, 13559 (1996). 10.1103/PhysRevB.53.13559
    • (1996) Phys. Rev. B , vol.53 , pp. 13559
    • Milovanović, M.1    Read, N.2
  • 33
    • 47749125421 scopus 로고    scopus 로고
    • We have used the notation of 10.1103/PhysRevLett.101.036804
    • We have used the notation of A. Seidel and K. Yang, Phys. Rev. Lett. 101, 036804 (2008), where this configuration encodes one of the eight ground states of the (331) case on the thin torus. 10.1103/PhysRevLett.101.036804
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 036804
    • Seidel, A.1    Yang, K.2
  • 34
    • 85081524143 scopus 로고    scopus 로고
    • It is helpful to compare the configuration Eq.to the ones with non-Abelian quasiholes in the polarized cases in Ref..
    • It is helpful to compare the configuration Eq. to the ones with non-Abelian quasiholes in the polarized cases in Ref..
  • 36
    • 67650283834 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.102.180401
    • E. Ardonne, Phys. Rev. Lett. 102, 180401 (2009). 10.1103/PhysRevLett.102. 180401
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 180401
    • Ardonne, E.1
  • 37
    • 0003789520 scopus 로고
    • edited by E. Brézin and North-Holland, Amsterdam, J. Zinn Justin
    • P. Ginsparg, in Fields, Strings and Critical Phenomena edited by, E. Brézin, and, J. Zinn Justin, (North-Holland, Amsterdam, 1989)
    • (1989) Fields, Strings and Critical Phenomena
    • Ginsparg, P.1
  • 38
    • 85081523430 scopus 로고    scopus 로고
    • arXiv:hep-th/9108028 (unpublished).
    • arXiv:hep-th/9108028 (unpublished).
  • 39
    • 0031498067 scopus 로고    scopus 로고
    • The first application of this background charge representation in the context of non-Abelian states was given in 10.1016/S0550-3213(97)00612-3
    • The first application of this background charge representation in the context of non-Abelian states was given in V. Gurarie and C. Nayak, Nucl. Phys. B 506, 685 (1997). 10.1016/S0550-3213(97)00612-3
    • (1997) Nucl. Phys. B , vol.506 , pp. 685
    • Gurarie, V.1    Nayak, C.2
  • 40
  • 41
    • 85010074945 scopus 로고
    • 10.1016/S0550-3213(85)80004-3
    • Vl. S. Dotsenko and V. A. Fateev, Nucl. Phys. B 251, 691 (1985). 10.1016/S0550-3213(85)80004-3
    • (1985) Nucl. Phys. B , vol.251 , pp. 691
    • Dotsenko, Vl.S.1    Fateev, V.A.2
  • 42
    • 0003789520 scopus 로고
    • edited by E. Brézin and North-Holland, Amsterdam, J. Zinn Justin
    • J. B. Zuber, in Fields, Strings and Critical Phenomena, edited by, E. Brézin, and, J. Zinn Justin, (North-Holland, Amsterdam, 1989)
    • (1989) Fields, Strings and Critical Phenomena
    • Zuber, J.B.1
  • 44
    • 85081506728 scopus 로고    scopus 로고
    • arXiv:0807.3472 (unpublished).
    • J. Cardy, arXiv:0807.3472 (unpublished).
    • Cardy, J.1
  • 45
    • 85081511548 scopus 로고    scopus 로고
    • For the Coulomb-gas representation of the two remaining primary fields in M (3,5) theory; ψ and φ with conformal weights hψ = 3 4 and hφ = 1 5, we have the corresponding vertex operators with β 1,2 ψ = 1 15 (1± 7 2) and β 1,2 φ = 1 15 (1±2), respectively.
    • For the Coulomb-gas representation of the two remaining primary fields in M (3,5) theory; ψ and φ with conformal weights hψ = 3 4 and hφ = 1 5, we have the corresponding vertex operators with β 1,2 ψ = 1 15 (1± 7 2) and β 1,2 φ = 1 15 (1±2), respectively.
  • 46
    • 0000351407 scopus 로고
    • 10.1103/PhysRevB.43.8038
    • A. Balatsky and M. Stone, Phys. Rev. B 43, 8038 (1991). 10.1103/PhysRevB.43.8038
    • (1991) Phys. Rev. B , vol.43 , pp. 8038
    • Balatsky, A.1    Stone, M.2
  • 47
    • 0002782929 scopus 로고
    • 10.1103/PhysRevLett.65.1502
    • N. Read, Phys. Rev. Lett. 65, 1502 (1990). 10.1103/PhysRevLett.65.1502
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 1502
    • Read, N.1
  • 49
    • 0001075802 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.56.1461
    • M. Milovanović and N. Read, Phys. Rev. B 56, 1461 (1997). 10.1103/PhysRevB.56.1461
    • (1997) Phys. Rev. B , vol.56 , pp. 1461
    • Milovanović, M.1    Read, N.2
  • 50
    • 4043136973 scopus 로고
    • 10.1103/PhysRevLett.69.1811
    • X. G. Wen and A. Zee, Phys. Rev. Lett. 69, 1811 (1992). 10.1103/PhysRevLett.69.1811
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 1811
    • Wen, X.G.1    Zee, A.2
  • 51
    • 0000441071 scopus 로고
    • 10.1103/PhysRevB.40.8079;
    • J. K. Jain, Phys. Rev. B 40, 8079 (1989) 10.1103/PhysRevB.40.8079
    • (1989) Phys. Rev. B , vol.40 , pp. 8079
    • Jain, J.K.1
  • 52
    • 0001421989 scopus 로고
    • 10.1103/PhysRevLett.66.802
    • X. G. Wen, Phys. Rev. Lett. 66, 802 (1991). 10.1103/PhysRevLett.66.802
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 802
    • Wen, X.G.1
  • 53
    • 85081494649 scopus 로고    scopus 로고
    • We thank N. Regnault for pointing out this orbital singlet (L=0) configuration to us.
    • We thank N. Regnault for pointing out this orbital singlet (L=0) configuration to us.
  • 54
    • 11744298055 scopus 로고
    • 10.1103/PhysRevB.41.7653
    • J. K. Jain, Phys. Rev. B 41, 7653 (1990). 10.1103/PhysRevB.41.7653
    • (1990) Phys. Rev. B , vol.41 , pp. 7653
    • Jain, J.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.