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Volumn 464, Issue 7290, 2010, Pages 847-851

Quantum spin liquid emerging in two-dimensional correlated Dirac fermions

Author keywords

[No Author keywords available]

Indexed keywords

LOW TEMPERATURE; MONTE CARLO ANALYSIS; QUANTUM MECHANICS; SIMULATION; TWO-DIMENSIONAL MODELING;

EID: 77950842509     PISSN: 00280836     EISSN: 14764687     Source Type: Journal    
DOI: 10.1038/nature08942     Document Type: Article
Times cited : (617)

References (50)
  • 1
    • 77950817087 scopus 로고    scopus 로고
    • Foundations Cambridge Univ. Press
    • Weinberg, S. The Quantum Theory of Fields Vol. 1 Foundations 1-48 (Cambridge Univ. Press, 2005).
    • (2005) The Quantum Theory of Fields , vol.1 , pp. 1-48
    • Weinberg, S.1
  • 2
    • 27744534165 scopus 로고    scopus 로고
    • Two-dimensional gas of massless Dirac fermions in graphene
    • Novoselov, K. et al. Two-dimensional gas of massless Dirac fermions in graphene. Nature 438, 197-200 (2005).
    • (2005) Nature , vol.438 , pp. 197-200
    • Novoselov, K.1
  • 3
    • 27744475163 scopus 로고    scopus 로고
    • Experimental observation of the quantum Hall effect and Berry's phase in graphene
    • Zhang, Y., Tan, Y.-W., Stormer, H. & Kim, P. Experimental observation of the quantum Hall effect and Berry's phase in graphene. Nature 438, 201-204 (2005).
    • (2005) Nature , vol.438 , pp. 201-204
    • Zhang, Y.1    Tan, Y.-W.2    Stormer, H.3    Kim, P.4
  • 4
    • 67650260772 scopus 로고    scopus 로고
    • 3 with a single Dirac cone on the surface
    • 3 with a single Dirac cone on the surface. Nature Phys. 5, 438-442 (2009).
    • (2009) Nature Phys. , vol.5 , pp. 438-442
    • Zhang, H.1
  • 5
    • 67650456298 scopus 로고    scopus 로고
    • 3
    • 3. Science 325, 178-181 (2009).
    • (2009) Science , vol.325 , pp. 178-181
    • Chen, Y.L.1
  • 7
    • 33749324120 scopus 로고    scopus 로고
    • Interactions and phase transitions on graphene's honeycomb lattice
    • Herbut, I. F. Interactions and phase transitions on graphene's honeycomb lattice. Phys. Rev. Lett. 97, 146401 (2006).
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 146401
    • Herbut, I.F.1
  • 8
    • 59149107297 scopus 로고    scopus 로고
    • Is graphene in vacuum an insulator?
    • Drut, J. E. & Lähde, T. A. Is graphene in vacuum an insulator? Phys. Rev. Lett. 102, 026802 (2009).
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 026802
    • Drut, J.E.1    Lähde, T.A.2
  • 9
    • 33244496175 scopus 로고    scopus 로고
    • Doping a Mott insulator: Physics of high-temperature superconductivity
    • Lee, P. A., Nagaosa, N. & Wen, X.-G. Doping a Mott insulator: physics of high-temperature superconductivity. Rev. Mod. Phys. 78, 17-85 (2006).
    • (2006) Rev. Mod. Phys. , vol.78 , pp. 17-85
    • Lee, P.A.1    Nagaosa, N.2    Wen, X.-G.3
  • 10
  • 11
    • 57349135204 scopus 로고    scopus 로고
    • Metallic and insulating phases of repulsively interacting fermions in a 3D optical lattice
    • Schneider, U. et al. Metallic and insulating phases of repulsively interacting fermions in a 3D optical lattice. Science 322, 1520-1525 (2008).
    • (2008) Science , vol.322 , pp. 1520-1525
    • Schneider, U.1
  • 13
    • 34547605910 scopus 로고    scopus 로고
    • SU(2) gauge theory of the Hubbard model and application to the honeycomb lattice
    • Hermele, M. SU(2) gauge theory of the Hubbard model and application to the honeycomb lattice. Phys. Rev. B 76, 035125 (2007).
    • (2007) Phys. Rev. B , vol.76 , pp. 035125
    • Hermele, M.1
  • 15
    • 28844477796 scopus 로고    scopus 로고
    • Quantum spin Hall effect in graphene
    • Kane, C. L. & Mele, E. J. Quantum spin Hall effect in graphene. Phys. Rev. Lett. 95, 226801 (2005).
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 226801
    • Kane, C.L.1    Mele, E.J.2
  • 16
    • 34047267689 scopus 로고    scopus 로고
    • Superconducting states of pure and doped graphene
    • Uchoa, B. & Castro Neto, A. H. Superconducting states of pure and doped graphene. Phys. Rev. Lett. 98, 146801 (2007).
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 146801
    • Uchoa, B.1    Castro Neto, A.H.2
  • 17
    • 0015586907 scopus 로고
    • Resonating valence bonds: A new kind of insulator?
    • Anderson, P. W. Resonating valence bonds: a new kind of insulator? Mater. Res. Bull. 8, 153-160 (1973).
    • (1973) Mater. Res. Bull. , vol.8 , pp. 153-160
    • Anderson, P.W.1
  • 18
    • 84996145647 scopus 로고
    • On the ground state properties of the anisotropic triangular antiferromagnet
    • Fazekas, P. & Anderson, P. W. On the ground state properties of the anisotropic triangular antiferromagnet. Phil. Mag. 30, 423-440 (1974).
    • (1974) Phil. Mag. , vol.30 , pp. 423-440
    • Fazekas, P.1    Anderson, P.W.2
  • 19
    • 0023646228 scopus 로고
    • 4 and superconductivity
    • 4 and superconductivity. Science 235, 1196-1198 (1987).
    • (1987) Science , vol.235 , pp. 1196-1198
    • Anderson, P.W.1
  • 21
    • 3743130827 scopus 로고
    • Superconductivity and the quantum hard-core dimer gas
    • Rokhsar, D. S. & Kivelson, S. A. Superconductivity and the quantum hard-core dimer gas. Phys. Rev. Lett. 61, 2376-2379 (1988).
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 2376-2379
    • Rokhsar, D.S.1    Kivelson, S.A.2
  • 22
    • 0036143546 scopus 로고    scopus 로고
    • Short-ranged resonating valence bond physics, quantum dimer models, and Ising gauge theories
    • Moessner, R., Sondhi, S. L. & Fradkin, E. Short-ranged resonating valence bond physics, quantum dimer models, and Ising gauge theories. Phys. Rev. B 65, 024504 (2001).
    • (2001) Phys. Rev. B , vol.65 , pp. 024504
    • Moessner, R.1    Sondhi, S.L.2    Fradkin, E.3
  • 24
  • 25
    • 0142089105 scopus 로고    scopus 로고
    • Controlling spin exchange interactions of ultracold atoms in optical lattices
    • Duan, L.-M., Demler, E. & Lukin, M. Controlling spin exchange interactions of ultracold atoms in optical lattices. Phys. Rev. Lett. 91, 090402 (2003).
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 090402
    • Duan, L.-M.1    Demler, E.2    Lukin, M.3
  • 26
    • 84956228623 scopus 로고
    • Semi-metal-insulator transition of the Hubbard model in the honeycomb lattice
    • Sorella, S. & Tosatti, E. Semi-metal-insulator transition of the Hubbard model in the honeycomb lattice. Europhys. Lett. 19, 699-704 (1992).
    • (1992) Europhys. Lett. , vol.19 , pp. 699-704
    • Sorella, S.1    Tosatti, E.2
  • 27
    • 33644966288 scopus 로고    scopus 로고
    • Ground-state and finite-temperature signatures of quantum phase transitions in the half-filled Hubbard model on a honeycomb lattice
    • Paiva, T., Scalettar, R. T., Zheng, W., Singh, R. R. P. & Otimaa, J. Ground-state and finite-temperature signatures of quantum phase transitions in the half-filled Hubbard model on a honeycomb lattice. Phys. Rev. B 72, 085123 (2005).
    • (2005) Phys. Rev. B , vol.72 , pp. 085123
    • Paiva, T.1    Scalettar, R.T.2    Zheng, W.3    Singh, R.R.P.4    Otimaa, J.5
  • 28
    • 77950853233 scopus 로고    scopus 로고
    • Masses in graphene-like two-dimensional electronic systems: Topological defects in order parameters and their fractional exchange statistics
    • Ryu, S., Mudry, C., Hou, C.-Y. & Chamon, C. Masses in graphene-like two-dimensional electronic systems: topological defects in order parameters and their fractional exchange statistics. Phys. Rev. B 80, 205319 (2009).
    • (2009) Phys. Rev. B , vol.80 , pp. 205319
    • Ryu, S.1    Mudry, C.2    Hou, C.-Y.3    Chamon, C.4
  • 29
    • 0000783193 scopus 로고
    • Model for a quantum Hall effect without Landau levels: Condensed-matter realization of the "parity anomaly"
    • Haldane, F. D. M. Model for a quantum Hall effect without Landau levels: condensed-matter realization of the "parity anomaly". Phys. Rev. Lett. 61, 2015-2018 (1988).
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 2015-2018
    • Haldane, F.D.M.1
  • 30
    • 4243241486 scopus 로고
    • Flux quantization in the two-dimensional repulsive and attractive Hubbard models
    • Assaad, F. F., Hanke, W. & Scalapino, D. J. Flux quantization in the two-dimensional repulsive and attractive Hubbard models. Phys. Rev. Lett. 71, 1915-1918 (1993).
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1915-1918
    • Assaad, F.F.1    Hanke, W.2    Scalapino, D.J.3
  • 31
    • 33749536309 scopus 로고
    • Theoretical considerations concerning quantized magnetic flux in superconducting cylinders
    • Byers, N. & Yang, C. N. Theoretical considerations concerning quantized magnetic flux in superconducting cylinders. Phys. Rev. Lett. 7, 46-49 (1961).
    • (1961) Phys. Rev. Lett. , vol.7 , pp. 46-49
    • Byers, N.1    Yang, C.N.2
  • 34
    • 13744255476 scopus 로고    scopus 로고
    • On the stability of U(1) spin liquids in two dimensions
    • Hermele, M. et al. On the stability of U(1) spin liquids in two dimensions. Phys. Rev. B 70, 214437 (2004).
    • (2004) Phys. Rev. B , vol.70 , pp. 214437
    • Hermele, M.1
  • 35
    • 15744382949 scopus 로고    scopus 로고
    • Phase diagram of the half-filled two-dimensional SU(N) Hubbard-Heisenberg model: A quantum Monte Carlo study
    • Assaad, F. F. Phase diagram of the half-filled two-dimensional SU(N) Hubbard-Heisenberg model: a quantum Monte Carlo study. Phys. Rev. B 71, 075103 (2005).
    • (2005) Phys. Rev. B , vol.71 , pp. 075103
    • Assaad, F.F.1
  • 36
    • 33746049792 scopus 로고    scopus 로고
    • Gapless quantum spin liquid, stripe, and antiferromagnetic phases in frustrated Hubbard models in two dimensions
    • Mizusaki, T. & Imada, M. Gapless quantum spin liquid, stripe, and antiferromagnetic phases in frustrated Hubbard models in two dimensions. Phys. Rev. B 74, 014421 (2006).
    • (2006) Phys. Rev. B , vol.74 , pp. 014421
    • Mizusaki, T.1    Imada, M.2
  • 37
    • 17144436460 scopus 로고    scopus 로고
    • Resonating valence bond phase in the triangular lattice quantum dimer model
    • DOI 10.1103/PhysRevLett.86.1881
    • Moessner, R. & Sondhi, S. L. Resonating valence bond phase in the triangular lattice quantum dimer model. Phys. Rev. Lett. 86, 1881-1884 (2001). (Pubitemid 32252800)
    • (2001) Physical Review Letters , vol.86 , Issue.9 , pp. 1881-1884
    • Moessner, R.1    Sondhi, S.L.2
  • 39
    • 0002703699 scopus 로고
    • Mean-field theory of spin-liquid states with finite energy gap and topological orders
    • Wen, X. G. Mean-field theory of spin-liquid states with finite energy gap and topological orders. Phys. Rev. B 44, 2664-2672 (1991).
    • (1991) Phys. Rev. B , vol.44 , pp. 2664-2672
    • Wen, X.G.1
  • 40
    • 3342899450 scopus 로고
    • Two theorems on the Hubbard model
    • Lieb, E. H. Two theorems on the Hubbard model. Phys. Rev. Lett. 62, 1201-1204 (1989).
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 1201-1204
    • Lieb, E.H.1
  • 41
    • 3042814883 scopus 로고    scopus 로고
    • Spin liquid state in an organic Mott insulator with a triangular lattice
    • Shimizu, Y., Miyagawa, K., Kanoda, K., Maesato, M. & Saito, G. Spin liquid state in an organic Mott insulator with a triangular lattice. Phys. Rev. Lett. 91, 107001 (2003).
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 107001
    • Shimizu, Y.1    Miyagawa, K.2    Kanoda, K.3    Maesato, M.4    Saito, G.5
  • 43
    • 0002669010 scopus 로고
    • Valence bond ground states in a frustrated two-dimensional spin-1/2 Heisenberg antiferromagnet
    • Chayes, J. T., Chayes, L. & Kivelson, S. A. Valence bond ground states in a frustrated two-dimensional spin-1/2 Heisenberg antiferromagnet. Commun. Math. Phys. 123, 53-83 (1989).
    • (1989) Commun. Math. Phys. , vol.123 , pp. 53-83
    • Chayes, J.T.1    Chayes, L.2    Kivelson, S.A.3
  • 44
    • 34948823935 scopus 로고    scopus 로고
    • Fluctuating superconductivity in organic molecular metals close to the Mott transition
    • Nam, M.-S., Ardavan, A., Blundell, S. J. & Schlueter, J. A. Fluctuating superconductivity in organic molecular metals close to the Mott transition. Nature 449, 584-587 (2007).
    • (2007) Nature , vol.449 , pp. 584-587
    • Nam, M.-S.1    Ardavan, A.2    Blundell, S.J.3    Schlueter, J.A.4
  • 45
    • 45749107534 scopus 로고    scopus 로고
    • BCS superconductivity of Dirac electrons in graphene layers
    • Kopnin, N. B. & Sonin, E. B. BCS superconductivity of Dirac electrons in graphene layers. Phys. Rev. Lett. 100, 246808 (2008).
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 246808
    • Kopnin, N.B.1    Sonin, E.B.2
  • 46
    • 67249137251 scopus 로고    scopus 로고
    • Soft synthesis of single-crystal silicon monolayer sheets
    • Nakano, H. et al. Soft synthesis of single-crystal silicon monolayer sheets. Angew. Chem. 118, 6451-6454 (2006).
    • (2006) Angew. Chem. , vol.118 , pp. 6451-6454
    • Nakano, H.1
  • 47
    • 0642370716 scopus 로고
    • Auxiliary field Monte-Carlo for quantum many-body ground states
    • Sugiyama, G. & Koonin, S. E. Auxiliary field Monte-Carlo for quantum many-body ground states. Ann. Phys. 168, 1-26 (1986).
    • (1986) Ann. Phys. , vol.168 , pp. 1-26
    • Sugiyama, G.1    Koonin, S.E.2
  • 48
    • 0008473437 scopus 로고
    • Optimization of initial state vector in the ground state algorithm of lattice fermion simulations
    • Furukawa, N. & Imada, M. Optimization of initial state vector in the ground state algorithm of lattice fermion simulations. J. Phys. Soc. Jpn 60, 3669-3674 (1991).
    • (1991) J. Phys. Soc. Jpn , vol.60 , pp. 3669-3674
    • Furukawa, N.1    Imada, M.2
  • 50
    • 4244179927 scopus 로고    scopus 로고
    • Efficient calculation of imaginary-time-displaced correlation functions in the projector auxiliary-field quantum Monte Carlo algorithm
    • Feldbacher, M. & Assaad, F. F. Efficient calculation of imaginary-time-displaced correlation functions in the projector auxiliary-field quantum Monte Carlo algorithm. Phys. Rev. B 63, 073105 (2001).
    • (2001) Phys. Rev. B , vol.63 , pp. 073105
    • Feldbacher, M.1    Assaad, F.F.2


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