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Volumn 86, Issue 1-2, 1997, Pages 57-108

Ground states and flux configurations of the two-dimensional Falicov-Kimball model

Author keywords

Falicov Kimball model; Flux phase; Hard core bosons; Triangular lattice

Indexed keywords


EID: 0030673807     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02180199     Document Type: Article
Times cited : (44)

References (32)
  • 2
    • 21844499957 scopus 로고
    • Generalized Hartree Fock theory and the Hubbard model
    • V. Bach, E. H. Lieb, and J. P. Solovej, Generalized Hartree Fock theory and the Hubbard model, J. Stat. Phys. 76:3 (1994).
    • (1994) J. Stat. Phys. , vol.76 , pp. 3
    • Bach, V.1    Lieb, E.H.2    Solovej, J.P.3
  • 3
    • 0000969121 scopus 로고
    • A unified approach to phase diagrams in field theory and statistical mechanics
    • C. Borgs and J. Imbrie, A unified approach to phase diagrams in field theory and statistical mechanics, Commun. Math. Phys. 123:305 (1989).
    • (1989) Commun. Math. Phys. , vol.123 , pp. 305
    • Borgs, C.1    Imbrie, J.2
  • 4
    • 0000216581 scopus 로고    scopus 로고
    • Low temperature phase diagrams for quantum perturbations of classical spin systems
    • C. Borgs, R. Kotecký, and D. Ueltschi, Low temperature phase diagrams for quantum perturbations of classical spin systems, Commun. Math. Phys. (1996).
    • (1996) Commun. Math. Phys.
    • Borgs, C.1    Kotecký, R.2    Ueltschi, D.3
  • 5
    • 0039470427 scopus 로고    scopus 로고
    • Low-temperature phase diagrams of quantum lattice systems. I. Stability for quantum perturbations of classical systems with finitely-many ground states
    • N. Datta, R. Fernández, and J. Fröhlich, Low-temperature phase diagrams of quantum lattice systems. I. Stability for quantum perturbations of classical systems with finitely-many ground states, J. Stat. Phys. 84:455 (1996).
    • (1996) J. Stat. Phys. , vol.84 , pp. 455
    • Datta, N.1    Fernández, R.2    Fröhlich, J.3
  • 6
    • 0001157245 scopus 로고    scopus 로고
    • Canonical phase diagrams of the 1-D Falicov-Kimball model at T=0
    • Z. Gajek, J. Jȩdrzejewski, and R. Lemański, Canonical phase diagrams of the 1-D Falicov-Kimball model at T=0, Physica A 223:175 (1996).
    • (1996) Physica A , vol.223 , pp. 175
    • Gajek, Z.1    Jȩdrzejewski, J.2    Lemański, R.3
  • 7
    • 0040708501 scopus 로고
    • Spinless Fermi gas on one-dimensional lattice: Riforous results
    • C. Gruber, Spinless Fermi gas on one-dimensional lattice: Riforous results, Helv. Phys. Acta 64:668 (1991).
    • (1991) Helv. Phys. Acta , vol.64 , pp. 668
    • Gruber, C.1
  • 9
    • 0000381710 scopus 로고
    • Ground states of the spinless Falicov-Kimball model II
    • C. Gruber, J. Jȩdrzejewski, and P. Lemberger. Ground states of the spinless Falicov-Kimball model II, J. Stat. Phys. 66:913 (1992).
    • (1992) J. Stat. Phys. , vol.66 , pp. 913
    • Gruber, C.1    Jȩdrzejewski, J.2    Lemberger, P.3
  • 10
    • 33746204822 scopus 로고
    • Molecule formulation and the Farey tree in the one-dimensional Falicov-Kimball model
    • C. Gruber, D. Ueltschi, and J. Jȩdrzejewski, Molecule formulation and the Farey tree in the one-dimensional Falicov-Kimball model, J. Stat. Phys. 76:125 (1994).
    • (1994) J. Stat. Phys. , vol.76 , pp. 125
    • Gruber, C.1    Ueltschi, D.2    Jȩdrzejewski, J.3
  • 11
  • 12
    • 0000270618 scopus 로고
    • Some rigorous results on the ground states of the Falicov-Kimball model
    • T. Kennedy, Some rigorous results on the ground states of the Falicov-Kimball model. Rev. Math. Phys. 6:901 (1994).
    • (1994) Rev. Math. Phys. , vol.6 , pp. 901
    • Kennedy, T.1
  • 13
    • 46149142828 scopus 로고
    • An itinerant electron model with crystalline or magnetic long range order
    • T. Kennedy and E. H. Lieb, An itinerant electron model with crystalline or magnetic long range order, Physica A 138:320 (1986).
    • (1986) Physica A , vol.138 , pp. 320
    • Kennedy, T.1    Lieb, E.H.2
  • 14
    • 11144328952 scopus 로고
    • The XY model has long range order for all spins and all dimensions greater than one
    • T. Kennedy, E. H. Lieb, and B. S. Shastry. The XY model has long range order for all spins and all dimensions greater than one, Phys. Rev. Lett. 61:2582 (1988).
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 2582
    • Kennedy, T.1    Lieb, E.H.2    Shastry, B.S.3
  • 15
    • 0009007207 scopus 로고
    • Geometric representation of lattice models and large volume asymptotics
    • G. Grimmet, ed. Kluwer, Dordrecht
    • R. Kotecký, Geometric representation of lattice models and large volume asymptotics, in Probability and Phase Transition, G. Grimmet, ed. (Kluwer, Dordrecht, 1994), p. 153.
    • (1994) Probability and Phase Transition , pp. 153
    • Kotecký, R.1
  • 16
    • 0001457768 scopus 로고
    • Resonating valence bond an d-wave superconductivity
    • G. Kotliar, Resonating valence bond an d-wave superconductivity, Phys. Rev. B 37:3664 (1988).
    • (1988) Phys. Rev. B , vol.37 , pp. 3664
    • Kotliar, G.1
  • 17
    • 0000901495 scopus 로고
    • Long range order in the Falicov-Kimball model: Extension of Kennedy Lieb theorem
    • J. L. Lebowitz and N. Macris, Long range order in the Falicov-Kimball model: extension of Kennedy Lieb theorem, Rev. Math. Phys. 6:927 (1994)
    • (1994) Rev. Math. Phys. , vol.6 , pp. 927
    • Lebowitz, J.L.1    Macris, N.2
  • 18
    • 36149030312 scopus 로고
    • Segregation in the Falicov-Kimball model
    • P. Lemberger, Segregation in the Falicov-Kimball model, J. Phys. A 25:715 (1992).
    • (1992) J. Phys. A , vol.25 , pp. 715
    • Lemberger, P.1
  • 19
    • 0000376945 scopus 로고
    • The flux phase of the half-filled band
    • E. H. Lieb, The flux phase of the half-filled band, Phys. Rev. Lett. 73:2158 (1994).
    • (1994) Phys. Rev. Lett. , vol.73 , pp. 2158
    • Lieb, E.H.1
  • 20
    • 84974001467 scopus 로고
    • Fluxes, Laplacians, and Kasteleyn's theorem
    • E. H. Lieb and M. Loss, Fluxes, Laplacians, and Kasteleyn's theorem, Duke Math. J. 71:337 (1993).
    • (1993) Duke Math. J. , vol.71 , pp. 337
    • Lieb, E.H.1    Loss, M.2
  • 21
    • 21144466416 scopus 로고
    • Uniform density theorem for the hubbard model
    • E. H. Lieb, M. Loss, and R. J. McCann, Uniform density theorem for the Hubbard model, J. Math. Phys. 34:891 (1993).
    • (1993) J. Math. Phys. , vol.34 , pp. 891
    • Lieb, E.H.1    Loss, M.2    McCann, R.J.3
  • 22
    • 0001744273 scopus 로고
    • Falicov-Kimball model and its relation to the Hubbard model: Studies on clusters
    • R. Lyzwa and Z. Domanski, Falicov-Kimball model and its relation to the Hubbard model: Studies on clusters, Phys. Rev B 50:11381 (1994).
    • (1994) Phys. Rev B , vol.50 , pp. 11381
    • Lyzwa, R.1    Domanski, Z.2
  • 23
    • 0039524315 scopus 로고    scopus 로고
    • Unpublished
    • N. Macris, Unpublished.
    • Macris, N.1
  • 24
    • 0030508435 scopus 로고    scopus 로고
    • On the flux phase conjecture at half-filling: An improved proof
    • to appear
    • N. Macris and B. Nachtergale, On the flux phase conjecture at half-filling: An improved proof, J. Stat. Pins. (1996), to appear.
    • (1996) J. Stat. Pins.
    • Macris, N.1    Nachtergale, B.2
  • 26
    • 0030075190 scopus 로고    scopus 로고
    • Low temperature states in the Falicov-Kimball model
    • A. Messager and S. Miracle-Solé, Low temperature states in the Falicov-Kimball model, Rev. Math. Phys. 8:271 (1996).
    • (1996) Rev. Math. Phys. , vol.8 , pp. 271
    • Messager, A.1    Miracle-Solé, S.2
  • 27
    • 0002749724 scopus 로고
    • Phase diagrams of classical lattice systems
    • S. Pirogov and Ya. G. Sinai, Phase diagrams of classical lattice systems, Theoret. Math. Phys. 25:1185 (1975): 26:39 (1976).
    • (1975) Theoret. Math. Phys. , vol.25 , pp. 1185
    • Pirogov, S.1    Sinai, Ya.G.2
  • 28
    • 0002749724 scopus 로고
    • S. Pirogov and Ya. G. Sinai, Phase diagrams of classical lattice systems, Theoret. Math. Phys. 25:1185 (1975): 26:39 (1976).
    • (1976) Theoret. Math. Phys. , vol.26 , pp. 39
  • 29
    • 0000488253 scopus 로고
    • Universal diamagnetism of spinless boson systems
    • B. Simon, Universal diamagnetism of spinless boson systems. Phys. Rev. Lett. 36:804 (1976).
    • (1976) Phys. Rev. Lett. , vol.36 , pp. 804
    • Simon, B.1
  • 31
    • 0002632746 scopus 로고
    • Ground state phase diagram of the two-dimensional Falicov-Kimball model
    • G. I. Watson and R. Lemański, Ground state phase diagram of the two-dimensional Falicov-Kimball model, J. Phys. A: Condens. Matter 7:9521 (1995).
    • (1995) J. Phys. A: Condens. Matter , vol.7 , pp. 9521
    • Watson, G.I.1    Lemański, R.2
  • 32
    • 34250132309 scopus 로고
    • An alternate version to Pirogov-Sinai theory
    • M. Zahradnik, An alternate version to Pirogov-Sinai Theory, Commun. Math. Phys. 93:559 (1984).
    • (1984) Commun. Math. Phys. , vol.93 , pp. 559
    • Zahradnik, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.