메뉴 건너뛰기




Volumn 13, Issue , 2011, Pages

The hierarchical structure in the orbital entanglement spectrum of fractional quantum Hall systems

Author keywords

[No Author keywords available]

Indexed keywords

COMPOSITE FERMION; ENERGY SPECTRA; ENTANGLEMENT GAP; EXCITATION WAVES; FINITE TEMPERATURES; HIERARCHICAL STRUCTURES; MODEL STATE; PSEUDOPOTENTIALS; QUANTUM HALL; QUANTUM HALL SYSTEMS; TOPOLOGICAL ORDER;

EID: 80054850967     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/13/10/105001     Document Type: Article
Times cited : (30)

References (51)
  • 2
    • 46949084674 scopus 로고    scopus 로고
    • Entanglement spectrum as a generalization of entanglement entropy: Identification of topological order in non-Abelian fractional quantum Hall effect states
    • Li H and Haldane F D M 2008 Entanglement spectrum as a generalization of entanglement entropy: Identification of topological order in non-Abelian fractional quantum Hall effect states Phys Rev Lett 101 010504
    • (2008) Phys Rev Lett , vol.101 , pp. 010504
    • Li, H.1    Haldane, F.D.M.2
  • 3
    • 68649115565 scopus 로고    scopus 로고
    • Topological entanglement and clustering of Jain hierarchy states
    • Regnault N, Bernevig B A and Haldane F D M 2009 Topological entanglement and clustering of Jain hierarchy states Phys Rev Lett 103 016801
    • (2009) Phys Rev Lett , vol.103 , pp. 016801
    • Regnault, N.1    Bernevig, B.A.2    Haldane, F.D.M.3
  • 5
    • 77951041263 scopus 로고    scopus 로고
    • Disentangling entanglement spectra of fractional quantum Hall states on torus geometries
    • Läuchli A M, Bergholtz E J, Suorsa J and Haque M 2010 Disentangling entanglement spectra of fractional quantum Hall states on torus geometries Phys Rev Lett 104 156404
    • (2010) Phys Rev Lett , vol.104 , pp. 156404
    • Läuchli, A.M.1    Bergholtz, E.J.2    Suorsa, J.3    Haque, M.4
  • 6
    • 77955335626 scopus 로고    scopus 로고
    • Entanglement scaling of fractional quantum Hall states through geometric deformations
    • Läuchli A M, Bergholtz E J and Haque M 2010 Entanglement scaling of fractional quantum Hall states through geometric deformations New J Phys 12 075004
    • (2010) New J Phys , vol.12 , pp. 075004
    • Läuchli, A.M.1    Bergholtz, E.J.2    Haque, M.3
  • 7
    • 78651078117 scopus 로고    scopus 로고
    • Effective spin chains for fractional quantum Hall states
    • Bergholtz E J, Nakamura M and Suorsa J 2010 Effective spin chains for fractional quantum Hall states Physica E 43 755-60
    • (2010) Physica E , vol.43 , pp. 755-760
    • Bergholtz, E.J.1    Nakamura, M.2    Suorsa, J.3
  • 8
    • 79952420795 scopus 로고    scopus 로고
    • Extracting excitations from model state entanglement
    • Sterdyniak A, Regnault N and Bernevig B A 2011 Extracting excitations from model state entanglement Phys Rev Lett 106 100405
    • (2011) Phys Rev Lett , vol.106 , pp. 100405
    • Sterdyniak, A.1    Regnault, N.2    Bernevig, B.A.3
  • 9
    • 82655180600 scopus 로고    scopus 로고
    • Entanglement entropy of integer quantum Hall states in polygonal domains
    • Rodriguez I D and Sierra G 2010 Entanglement entropy of integer quantum Hall states in polygonal domains J Stat Mech (2010) P12033
    • (2010) J Stat Mec.h. , Issue.2010
    • Rodriguez, I.D.1    Sierra, G.2
  • 10
    • 79551582904 scopus 로고    scopus 로고
    • Topological entanglement in Abelian and non-Abelian excitation eigenstates
    • Papic Z, Bernevig B A and Regnault N 2011 Topological entanglement in Abelian and non-Abelian excitation eigenstates Phys Rev Lett 106 056801
    • (2011) Phys Rev Lett , vol.106 , pp. 056801
    • Papic, Z.1    Bernevig, B.A.2    Regnault, N.3
  • 11
    • 77957564254 scopus 로고    scopus 로고
    • Topological phases and phase transitions on the square-octagon lattice
    • KargarianMand Fiete G A 2010 Topological phases and phase transitions on the square-octagon lattice Phys Rev B 82 085106
    • (2010) Phys Rev B , vol.82 , pp. 085106
    • KargarianMand Fiete, G.A.1
  • 12
    • 80053921765 scopus 로고    scopus 로고
    • Haldane statistics in the finite size entanglement spectra of 1/m fractional quantum Hall states
    • Hermanns M, Chandran A, Regnault N and Bernevig B A 2011 Haldane statistics in the finite size entanglement spectra of 1/m fractional quantum Hall states Phys Rev B 84 121309
    • (2011) Phys Rev B , vol.84 , pp. 121309
    • Hermanns, M.1    Chandran, A.2    Regnault, N.3    Bernevig, B.A.4
  • 13
    • 77954752070 scopus 로고    scopus 로고
    • Interaction-tuned compressible-to-incompressible phase transitions in quantum Hall systems
    • Papić Z, Regnault N and Das Sarma S 2009 Interaction-tuned compressible-to-incompressible phase transitions in quantum Hall systems Phys Rev B 80 201303
    • (2009) Phys Rev B , vol.80 , pp. 201303
    • Papić, Z.1    Regnault, N.2    Das Sarma, S.3
  • 16
    • 79961067093 scopus 로고    scopus 로고
    • Entanglement spectrum and entanglement thermodynamics of quantum Hall bilayers at m = 1
    • Schliemann J 2011 Entanglement spectrum and entanglement thermodynamics of quantum Hall bilayers at m = 1 Phys Rev B 83 115322
    • (2011) Phys Rev B , vol.83 , pp. 115322
    • Schliemann, J.1
  • 18
    • 77956533345 scopus 로고    scopus 로고
    • Nonlocal order in gapless systems: Entanglement spectrum in spin chains
    • Thomale R, Arovas D P and Bernevig B A 2010 Nonlocal order in gapless systems: Entanglement spectrum in spin chains Phys Rev Lett 105 116805
    • (2010) Phys Rev Lett , vol.105 , pp. 116805
    • Thomale, R.1    Arovas, D.P.2    Bernevig, B.A.3
  • 19
    • 77955621253 scopus 로고    scopus 로고
    • Entanglement spectra of quantum Heisenberg ladders
    • Poilblanc D 2010 Entanglement spectra of quantum Heisenberg ladders Phys Rev Lett 105 077202
    • (2010) Phys Rev Lett , vol.105 , pp. 077202
    • Poilblanc, D.1
  • 20
    • 79961064168 scopus 로고    scopus 로고
    • Topological phases of one-dimensional fermions: An entanglement point of view
    • Turner A M, Pollmann F and Berg E 2011 Topological phases of one-dimensional fermions: An entanglement point of view Phys Rev B 83 075102
    • (2011) Phys Rev B , vol.83 , pp. 075102
    • Turner, A.M.1    Pollmann, F.2    Berg, E.3
  • 21
    • 77955218335 scopus 로고    scopus 로고
    • Effects of interactions on the topological classification of free fermion systems
    • Fidkowski L and Kitaev A 2010 Effects of interactions on the topological classification of free fermion systems Phys Rev B 81 134509
    • (2010) Phys Rev B , vol.81 , pp. 134509
    • Fidkowski, L.1    Kitaev, A.2
  • 22
    • 77955672348 scopus 로고    scopus 로고
    • Entanglement entropy and entanglement spectrum of the Kitaev model
    • Yao H and Qi X-L 2010 Entanglement entropy and entanglement spectrum of the Kitaev model Phys Rev Lett 105 080501
    • (2010) Phys Rev Lett , vol.105 , pp. 080501
    • Yao, H.1    Qi, X.-L.2
  • 23
    • 77949512657 scopus 로고    scopus 로고
    • Entanglement spectra of critical and near-critical systems in one dimension
    • Pollmann F and Moore J E 2010 Entanglement spectra of critical and near-critical systems in one dimension New J Phys 12 025006
    • (2010) New J Phys , vol.12 , pp. 025006
    • Pollmann, F.1    Moore, J.E.2
  • 24
    • 77954821307 scopus 로고    scopus 로고
    • Entanglement spectrum of a topological phase in one dimension
    • Pollmann F, Turner A M, Berg E and OshikawaM2010 Entanglement spectrum of a topological phase in one dimension Phys Rev B 81 064439
    • (2010) Phys Rev B , vol.81 , pp. 064439
    • Pollmann, F.1    Turner, A.M.2    Berg, E.3    Oshikawa, M.4
  • 25
    • 53349141692 scopus 로고    scopus 로고
    • Entanglement spectrum in one-dimensional systems
    • Calabrese P and Lefevre A 2008 Entanglement spectrum in one-dimensional systems Phys Rev A 78 032329
    • (2008) Phys Rev A , vol.78 , pp. 032329
    • Calabrese, P.1    Lefevre, A.2
  • 26
    • 79961239559 scopus 로고    scopus 로고
    • Inversion symmetric topological insulators
    • Hughes T L, Prodan E and Bernevig B A 2011 Inversion symmetric topological insulators Phys Rev B 83 245132
    • (2011) Phys Rev B , vol.83 , pp. 245132
    • Hughes, T.L.1    Prodan, E.2    Bernevig, B.A.3
  • 27
    • 79551642253 scopus 로고    scopus 로고
    • Entanglement spectrum of random-singlet quantum critical points
    • Fagotti M, Calabrese P and Moore J E 2011 Entanglement spectrum of random-singlet quantum critical points Phys Rev B 83 045110
    • (2011) Phys Rev B , vol.83 , pp. 045110
    • Fagotti, M.1    Calabrese, P.2    Moore, J.E.3
  • 32
    • 79961226393 scopus 로고    scopus 로고
    • Entanglement spectrum and boundary theories with projected entangled-pair states
    • Cirac J I, Poilblanc D, Schuch N and Verstraete F 2011 Entanglement spectrum and boundary theories with projected entangled-pair states Phys Rev B 83 245134
    • (2011) Phys Rev B , vol.83 , pp. 245134
    • Cirac, J.I.1    Poilblanc, D.2    Schuch, N.3    Verstraete, F.4
  • 33
    • 73649100651 scopus 로고    scopus 로고
    • Topological order in paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries
    • Bray-Ali N, Ding L and Haas S 2009 Topological order in paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries Phys Rev B 80 180504
    • (2009) Phys Rev B , vol.80 , pp. 180504
    • Bray-Ali, N.1    Ding, L.2    Haas, S.3
  • 35
    • 77956389004 scopus 로고    scopus 로고
    • Entanglement spectrum of a disordered topological Chern insulator
    • Prodan E, Hughes T L and Bernevig B A 2010 Entanglement spectrum of a disordered topological Chern insulator Phys Rev Lett 105 115501
    • (2010) Phys Rev Lett , vol.105 , pp. 115501
    • Prodan, E.1    Hughes, T.L.2    Bernevig, B.A.3
  • 36
    • 77950440453 scopus 로고    scopus 로고
    • Entanglement spectrum of topological insulators and superconductors
    • Fidkowski L 2010 Entanglement spectrum of topological insulators and superconductors Phys Rev Lett 104 130502
    • (2010) Phys Rev Lett , vol.104 , pp. 130502
    • Fidkowski, L.1
  • 37
    • 78651255443 scopus 로고    scopus 로고
    • Entanglement and inversion symmetry in topological insulators
    • Turner A M, Zhang Y and Vishwanath A 2010 Entanglement and inversion symmetry in topological insulators Phys Rev B 82 241102
    • (2010) Phys Rev B , vol.82 , pp. 241102
    • Turner, A.M.1    Zhang, Y.2    Vishwanath, A.3
  • 38
    • 79251476877 scopus 로고    scopus 로고
    • Entanglement spectrum: Identification of the transition from vortex-liquid to vortex-lattice state in a weakly interacting rotating Bose-Einstein condensate
    • Liu Z, Guo H-L, Vedral V and Fan H 2011 Entanglement spectrum: Identification of the transition from vortex-liquid to vortex-lattice state in a weakly interacting rotating Bose-Einstein condensate Phys Rev A 83 013620
    • (2011) Phys Rev A , vol.83 , pp. 013620
    • Liu, Z.1    Guo, H.-L.2    Vedral, V.3    Fan, H.4
  • 40
    • 33846863590 scopus 로고    scopus 로고
    • Entanglement entropy in fermionic Laughlin states
    • Haque M, Zozulya O and Schoutens K 2007 Entanglement entropy in fermionic Laughlin states Phys Rev Lett 98 060401
    • (2007) Phys Rev Lett , vol.98 , pp. 060401
    • Haque, M.1    Zozulya, O.2    Schoutens, K.3
  • 41
    • 70449367230 scopus 로고    scopus 로고
    • The anatomy of Abelian and non-Abelian fractional quantum Hall states
    • Bernevig B A and Regnault N 2009 The anatomy of Abelian and non-Abelian fractional quantum Hall states Phys Rev Lett 103 206801
    • (2009) Phys Rev Lett , vol.103 , pp. 206801
    • Bernevig, B.A.1    Regnault, N.2
  • 43
    • 0000270607 scopus 로고
    • Composite-fermion approach for the fractional quantum Hall effect
    • Jain J K 1989 Composite-fermion approach for the fractional quantum Hall effect Phys Rev Lett 63 199-202
    • (1989) Phys Rev Lett , vol.63 , pp. 199-202
    • Jain, J.K.1
  • 44
    • 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
  • 45
    • 0001561066 scopus 로고
    • Theory of the half-filled Landau level
    • Halperin B I, Lee P A and Read N 1993 Theory of the half-filled Landau level Phys Rev B 47 7312-43
    • (1993) Phys Rev B , vol.47 , pp. 7312-43
    • Halperin, B.I.1    Lee, P.A.2    Read, N.3
  • 46
    • 2542518612 scopus 로고    scopus 로고
    • Composite fermions in the Hilbert space of the lowest electronic Landau level
    • Jain J K and Kamilla R K 1997 Composite fermions in the Hilbert space of the lowest electronic Landau level Int J Mod Phys B 104 156404
    • (1997) Int J Mod Phys B , vol.104 , pp. 156404
    • Jain, J.K.1    Kamilla, R.K.2
  • 47
    • 45249131043 scopus 로고
    • Some combinatorial properties of Jack symmetric functions
    • Stanley R P 1989 Some combinatorial properties of Jack symmetric functions Adv Math 77 76
    • (1989) Adv Math , vol.77 , pp. 76
    • Stanley, R.P.1
  • 48
    • 33744723980 scopus 로고
    • Fractional quantization of the Hall effect: A hierarchy of incompressible quantum fluid states
    • Haldane F D M 1983 Fractional quantization of the Hall effect: A hierarchy of incompressible quantum fluid states Phys Rev Lett 51 605
    • (1983) Phys Rev Lett , vol.51 , pp. 605
    • Haldane, F.D.M.1
  • 51
    • 4243092870 scopus 로고
    • Band structure of the fractional quantum Hall effect
    • Dev G and Jain J K 1992 Band structure of the fractional quantum Hall effect Phys Rev Lett 69 2843-6
    • (1992) Phys Rev Lett , vol.69 , pp. 2843-2846
    • Dev, G.1    Jain, J.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.