메뉴 건너뛰기




Volumn 44, Issue 7, 2011, Pages

Partition functions of non-Abelian quantum Hall states

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79551657612     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/44/7/075401     Document Type: Article
Times cited : (23)

References (63)
  • 2
    • 37349048977 scopus 로고    scopus 로고
    • Anyons and the quantum Hall effect-A pedagogical review
    • Stern A 2008 Anyons and the quantum Hall effect-a pedagogical review Ann. Phys. 323 204.
    • (2008) Ann. Phys. , vol.323 , pp. 204
    • Stern, A.1
  • 3
    • 32644462561 scopus 로고    scopus 로고
    • Detecting non-Abelian statistics in the ν = 5/2 fractional quantum Hall state
    • Bonderson P, Kitaev A and Shtengel K 2006 Detecting non-Abelian statistics in the ν = 5/2 fractional quantum Hall state Phys. Rev. Lett. 96 016803.
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 016803
    • Bonderson, P.1    Kitaev, A.2    Shtengel, K.3
  • 5
    • 67650095467 scopus 로고    scopus 로고
    • Distinct signatures for Coulomb blockade and Aharonov-Bohm interference in electronic Fabry-Perot interferometers
    • Zhang Y, McClure D T, Levenson-Falk EM, Marcus C M, Pfeiffer L N and West K W 2009 Distinct signatures for Coulomb blockade and Aharonov-Bohm interference in electronic Fabry-Perot interferometers Phys. Rev. B 79 241304.
    • (2009) Phys. Rev. B , vol.79 , pp. 241304
    • Zhang, Y.1    McClure, D.T.2    Levenson-Falk, E.M.3    Marcus, C.M.4    Pfeiffer, L.N.5    West, K.W.6
  • 7
    • 77955693620 scopus 로고    scopus 로고
    • Thermopower of two-dimensional electrons at filling factors ν = 3/2 and 5/2
    • Chickering W E, Eisenstein J P, Pfeiffer L N and West K W 2010 Thermopower of two-dimensional electrons at filling factors ν = 3/2 and 5/2 Phys. Rev. B 81 245319.
    • (2010) Phys. Rev. B , vol.81 , pp. 245319
    • Chickering, W.E.1    Eisenstein, J.P.2    Pfeiffer, L.N.3    West, K.W.4
  • 8
    • 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
  • 10
    • 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.
    • (1999) Phys. Rev. B , vol.59 , pp. 8084
    • Read, N.1    Rezayi, E.2
  • 11
    • 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.
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 5096
    • Ardonne, E.1    Schoutens, K.2
  • 12
    • 0001380224 scopus 로고    scopus 로고
    • Non-Abelian spin-singlet quantum Hall states: Wave functions and quasi-hole state counting
    • Ardonne E, Read N, Rezayi E and Schoutens K 2001 Non-Abelian spin-singlet quantum Hall states: wave functions and quasi-hole state counting Nucl. Phys. B 607 549.
    • (2001) Nucl. Phys. B , vol.607 , pp. 549
    • Ardonne, E.1    Read, N.2    Rezayi, E.3    Schoutens, K.4
  • 13
    • 33845669099 scopus 로고    scopus 로고
    • Wavefunctions for topological quantum registers
    • Ardonne E and Schoutens K 2007 Wavefunctions for topological quantum registers Ann. Phys. 322 201.
    • (2007) Ann. Phys. , vol.322 , pp. 201
    • Ardonne, E.1    Schoutens, K.2
  • 14
    • 36849058679 scopus 로고    scopus 로고
    • Particle-hole symmetry and the ν =5/2 quantum Hall state
    • Lee S-S, Ryu S, Nayak C and Fisher M P A 2007 Particle-hole symmetry and the ν =5/2 quantum Hall state Phys. Rev. Lett. 99 236807.
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 236807
    • Lee, S.-S.1    Ryu, S.2    Nayak, C.3    Fisher, M.P.A.4
  • 15
    • 36849029791 scopus 로고    scopus 로고
    • Particle-hole symmetry and the Pfaffian state
    • Levin M, Halperin B I and Rosenow B 2007 Particle-hole symmetry and the Pfaffian state Phys. Rev. Lett. 99 236806.
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 236806
    • Levin, M.1    Halperin, B.I.2    Rosenow, B.3
  • 16
    • 45749107135 scopus 로고    scopus 로고
    • Quantum Hall states at ν = 2/(k + 2): Analysis of the particle-hole conjugates of the general level-k Read-Rezayi states
    • Bishara W, Fiete G A and Nayak C 2008 Quantum Hall states at ν = 2/(k + 2): analysis of the particle-hole conjugates of the general level-k Read-Rezayi states Phys. Rev. B 77 241306.
    • (2008) Phys. Rev. B , vol.77 , pp. 241306
    • Bishara, W.1    Fiete, G.A.2    Nayak, C.3
  • 17
    • 54049124603 scopus 로고    scopus 로고
    • Fractional quantum Hall hierarchy and the second Landau level
    • Bonderson P and Slingerland J K 2008 Fractional quantum Hall hierarchy and the second Landau level Phys. Rev. B 78 125323.
    • (2008) Phys. Rev. B , vol.78 , pp. 125323
    • Bonderson, P.1    Slingerland, J.K.2
  • 18
    • 0000718818 scopus 로고
    • Many body systems with non-Abelian statistics
    • Blok B and Wen X G 1992 Many body systems with non-Abelian statistics Nucl. Phys. B 374 615.
    • (1992) Nucl. Phys. B , vol.374 , pp. 615
    • Blok, B.1    Wen, X.G.2
  • 20
    • 0031582180 scopus 로고    scopus 로고
    • Modular invariant partition functions in the quantum Hall effect
    • Cappelli A and Zemba G R 1997 Modular invariant partition functions in the quantum Hall effect Nucl. Phys. B 490 595.
    • (1997) Nucl. Phys. B , vol.490 , pp. 595
    • Cappelli, A.1    Zemba, G.R.2
  • 22
    • 73749083094 scopus 로고    scopus 로고
    • Chiral partition functions of quantum Hall droplets
    • Cappelli A, Viola G and Zemba G R 2010 Chiral partition functions of quantum Hall droplets Ann. Phys. 325 465.
    • (2010) Ann. Phys. , vol.325 , pp. 465
    • Cappelli, A.1    Viola, G.2    Zemba, G.R.3
  • 23
    • 0002782929 scopus 로고
    • Excitation structure of the hierarchy scheme in the fractional quantum Hall effect
    • Read N 1990 Excitation structure of the hierarchy scheme in the fractional quantum Hall effect Phys. Rev. Lett. 65 1502.
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 1502
    • Read, N.1
  • 24
    • 0039956654 scopus 로고
    • Large scale physics of the quantum hall fluid
    • Fröhlich J and Zee A 1991 Large scale physics of the quantum hall fluid Nucl. Phys. B 364 517.
    • (1991) Nucl. Phys. B , vol.364 , pp. 517
    • Fröhlich, J.1    Zee, A.2
  • 25
    • 5244278223 scopus 로고
    • Classification of Abelian quantum Hall states and matrix formulation of topological fluids
    • Wen X-G and Zee A 1992 Classification of Abelian quantum Hall states and matrix formulation of topological fluids Phys. Rev. B 46 2290.
    • (1992) Phys. Rev. B , vol.46 , pp. 2290
    • Wen, X.-G.1    Zee, A.2
  • 26
    • 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.
    • (2001) Nucl. Phys. B , vol.599 , pp. 499
    • Cappelli, A.1    Georgiev, L.S.2    Todorov, I.T.3
  • 28
    • 0010798477 scopus 로고
    • Polynomial equations for rational conformal field theories
    • Moore G and Seiberg N 1988 Polynomial equations for rational conformal field theories Phys. Lett. B 212 451.
    • (1988) Phys. Lett. B , vol.212 , pp. 451
    • Moore, G.1    Seiberg, N.2
  • 29
    • 0002267502 scopus 로고
    • Naturality in conformal field theory
    • Moore G and Seiberg N 1989 Naturality in conformal field theory Nucl. Phys. B 313 16.
    • (1989) Nucl. Phys. B , vol.313 , pp. 16
    • Moore, G.1    Seiberg, N.2
  • 31
    • 33645151438 scopus 로고    scopus 로고
    • Topological entanglement entropy
    • Kitaev A and Preskill J 2006 Topological entanglement entropy Phys. Rev. Lett. 96 110404.
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 110404
    • Kitaev, A.1    Preskill, J.2
  • 32
    • 33645161396 scopus 로고    scopus 로고
    • Detecting topological order in a ground state wave function
    • Levin M and Wen X-G 2006 Detecting topological order in a ground state wave function Phys. Rev. Lett. 96 110405.
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 110405
    • Levin, M.1    Wen, X.-G.2
  • 33
    • 34648837088 scopus 로고    scopus 로고
    • Bipartite entanglement entropy in fractional quantum Hall states
    • Zozulya O S, Haque M, Schoutens K and Rezayi E H 2007 Bipartite entanglement entropy in fractional quantum Hall states Phys. Rev. B 76 125310.
    • (2007) Phys. Rev. B , vol.76 , pp. 125310
    • Zozulya, O.S.1    Haque, M.2    Schoutens, K.3    Rezayi, E.H.4
  • 34
    • 32644485839 scopus 로고    scopus 로고
    • Proposed experiments to probe the non-Abelian ν = 5/2 quantum Hall state
    • Stern A and Halperin B I 2006 Proposed experiments to probe the non-Abelian ν = 5/2 quantum Hall state Phys. Rev. Lett. 96 016802.
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 016802
    • Stern, A.1    Halperin, B.I.2
  • 35
    • 40849103030 scopus 로고    scopus 로고
    • Coulomb blockade as a probe for non-Abelian statistics in Read-Rezayi states
    • Ilan R, Grosfeld E and Stern A 2008 Coulomb blockade as a probe for non-Abelian statistics in Read-Rezayi states Phys. Rev. Lett. 100 086803.
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 086803
    • Ilan, R.1    Grosfeld, E.2    Stern, A.3
  • 36
    • 67650035018 scopus 로고    scopus 로고
    • Experimental signatures of non-Abelian statistics in clustered quantum Hall states
    • Ilan R, Grosfeld E, Schoutens K and Stern A 2009 Experimental signatures of non-Abelian statistics in clustered quantum Hall states Phys. Rev. B 79 245305.
    • (2009) Phys. Rev. B , vol.79 , pp. 245305
    • Ilan, R.1    Grosfeld, E.2    Schoutens, K.3    Stern, A.4
  • 40
    • 77955352824 scopus 로고    scopus 로고
    • Coulomb blockade doppelgangers in quantum Hall states
    • Bonderson P, Nayak C and Shtengel K 2010 Coulomb blockade doppelgangers in quantum Hall states Phys. Rev. B 81 165308.
    • (2010) Phys. Rev. B , vol.81 , pp. 165308
    • Bonderson, P.1    Nayak, C.2    Shtengel, K.3
  • 41
    • 0000537221 scopus 로고    scopus 로고
    • Thermoelectric response of an interacting two-dimensional electron gas in a quantizing magnetic field
    • Cooper N R, Halperin B I and Ruzin I M 1997 Thermoelectric response of an interacting two-dimensional electron gas in a quantizing magnetic field Phys. Rev. B 55 2344.
    • (1997) Phys. Rev. B , vol.55 , pp. 2344
    • Cooper, N.R.1    Halperin, B.I.2    Ruzin, I.M.3
  • 42
    • 65549121218 scopus 로고    scopus 로고
    • Observable bulk signatures of non-Abelian quantum Hall states
    • Cooper N R and Stern A 2009 Observable bulk signatures of non-Abelian quantum Hall states Phys. Rev. Lett. 102 176807.
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 176807
    • Cooper, N.R.1    Stern, A.2
  • 43
    • 65349178949 scopus 로고    scopus 로고
    • Thermopower as a possible probe of non-Abelian quasiparticle statistics in fractional quantum Hall liquids
    • Yang K and Halperin B I 2009 Thermopower as a possible probe of non-Abelian quasiparticle statistics in fractional quantum Hall liquids Phys. Rev. B 79 115317.
    • (2009) Phys. Rev. B , vol.79 , pp. 115317
    • Yang, K.1    Halperin, B.I.2
  • 44
    • 34548442134 scopus 로고    scopus 로고
    • Composite-fermion wave functions as correlators in conformal field theory
    • Hansson T H, Chang C-C, Jain J K and Viefers S 2007 Composite-fermion wave functions as correlators in conformal field theory Phys. Rev. B 76 075347.
    • (2007) Phys. Rev. B , vol.76 , pp. 075347
    • Hansson, T.H.1    Chang, C.-C.2    Jain, J.K.3    Viefers, S.4
  • 45
    • 72849150413 scopus 로고    scopus 로고
    • Quantum Hall quasi-electron operators in conformal field theory
    • Hansson T H, Hermanns M and Viefers S 2009 Quantum Hall quasi-electron operators in conformal field theory Phys. Rev. B 80 165330.
    • (2009) Phys. Rev. B , vol.80 , pp. 165330
    • Hansson, T.H.1    Hermanns, M.2    Viefers, S.3
  • 46
    • 76249105217 scopus 로고    scopus 로고
    • Condensing non-Abelian quasiparticles
    • Hermanns M 2010 Condensing non-Abelian quasiparticles Phys. Rev. Lett. 104 056803.
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 056803
    • Hermanns, M.1
  • 47
    • 14644388676 scopus 로고
    • Quantum field theory and the Jones polynomial
    • Witten E 1989 Quantum field theory and the Jones polynomial Commun. Math. Phys. 121 351.
    • (1989) Commun. Math. Phys. , vol.121 , pp. 351
    • Witten, E.1
  • 48
    • 0033556959 scopus 로고    scopus 로고
    • Hamiltonian formulation of the W-infinity minimal models
    • Cappelli A and Zemba G R 1999 Hamiltonian formulation of the W-infinity minimal models Nucl. Phys. B 540 610.
    • (1999) Nucl. Phys. B , vol.540 , pp. 610
    • Cappelli, A.1    Zemba, G.R.2
  • 50
    • 0002844269 scopus 로고    scopus 로고
    • Affine orbifolds and rational conformal field theory extensions of W-1+infinity
    • Kac V G and Todorov I T 1997 Affine orbifolds and rational conformal field theory extensions of W-1+infinity Commun. Math. Phys. 190 57.
    • (1997) Commun. Math. Phys. , vol.190 , pp. 57
    • Kac, V.G.1    Todorov, I.T.2
  • 51
    • 0000243470 scopus 로고
    • Parafermionic currents in the two-dimensional conformal quantum field theory and self-dual critical points in Z(n) invariant statistical systems
    • Zamolodchikov A B and Fateev V A 1985 Parafermionic currents in the two-dimensional conformal quantum field theory and self-dual critical points in Z(n) invariant statistical systems Sov. Phys.-JETP 62 215.
    • (1985) Sov. Phys.-JETP , vol.62 , pp. 215
    • Zamolodchikov, A.B.1    Fateev, V.A.2
  • 52
    • 0000220907 scopus 로고
    • Modular invariant partition functions for parafermionic field theories
    • Gepner D and Qiu Z 1987 Modular invariant partition functions for parafermionic field theories Nucl. Phys. B 285 423.
    • (1987) Nucl. Phys. B , vol.285 , pp. 423
    • Gepner, D.1    Qiu, Z.2
  • 53
    • 0000219589 scopus 로고    scopus 로고
    • Parafermionic character formulae
    • Jacob P and Mathieu P 2000 Parafermionic character formulae Nucl. Phys. B 587 514.
    • (2000) Nucl. Phys. B , vol.587 , pp. 514
    • Jacob, P.1    Mathieu, P.2
  • 54
    • 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
  • 55
    • 0001430310 scopus 로고
    • Field identification in coset conformal field theories
    • Gepner D 1989 Field identification in coset conformal field theories Phys. Lett. B 222 207.
    • (1989) Phys. Lett. B , vol.222 , pp. 207
    • Gepner, D.1
  • 56
    • 84926087383 scopus 로고    scopus 로고
    • Cambridge: Cambridge University Press
    • Jain J K 2007 Composite Fermions (Cambridge: Cambridge University Press).
    • (2007) Composite Fermions
    • Jain, J.K.1
  • 61
    • 34047219716 scopus 로고    scopus 로고
    • Topological entanglement entropy from the holographic partition function
    • Fendley P, Fisher M P A and Nayak C 2007 Topological entanglement entropy from the holographic partition function J. Stat. Phys. 126 1111.
    • (2007) J. Stat. Phys. , vol.126 , pp. 1111
    • Fendley, P.1    Fisher, M.P.A.2    Nayak, C.3
  • 62
    • 67349201968 scopus 로고    scopus 로고
    • Boundary conformal field theory and tunneling of edge quasiparticles in non-Abelian topological states
    • Fendley P, Fisher M P A and Nayak C 2009 Boundary conformal field theory and tunneling of edge quasiparticles in non-Abelian topological states Ann. Phys. 324 1547.
    • (2009) Ann. Phys. , vol.324 , pp. 1547
    • Fendley, P.1    Fisher, M.P.A.2    Nayak, C.3
  • 63
    • 79551663069 scopus 로고    scopus 로고
    • A-D-E classification of conformal field theories
    • For a review, see
    • For a review, see Cappelli A and Zuber J B 2010 A-D-E classification of conformal field theories Scholarpedia 5 10314.
    • (2010) Scholarpedia , vol.5 , pp. 10314
    • Cappelli, A.1    Zuber, J.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.