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Volumn 99, Issue 1-2, 2000, Pages 461-555

Rigidity of interfaces in the Falicov-Kimball model

Author keywords

100 and 111 interfaces; Falicov Kimball model; Ground state selection; Rigidity of interfaces

Indexed keywords


EID: 0034339838     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1018609126399     Document Type: Article
Times cited : (18)

References (48)
  • 2
    • 0031315755 scopus 로고    scopus 로고
    • Dobrushin states for classical spin systems with complex interactions
    • C. Borgs, J. Chayes, and J. Fröhlich, Dobrushin states for classical spin systems with complex interactions, J. Statist. Phys. 89:895 (1997).
    • (1997) J. Statist. Phys. , vol.89 , pp. 895
    • Borgs, C.1    Chayes, J.2    Fröhlich, J.3
  • 3
    • 0040601105 scopus 로고    scopus 로고
    • Dobrushin states in quantum lattice systems, commun
    • C. Borgs, J. Chayes, and J. Fröhlich, Dobrushin states in quantum lattice systems, Commun. Math. Phys. 189:591 (1997).
    • (1997) Math. Phys. , vol.189 , pp. 591
    • Borgs, C.1    Chayes, J.2    Fröhlich, J.3
  • 4
    • 0000216581 scopus 로고    scopus 로고
    • Low temperature phase diagrams of quantum perturbations of classical spin systems
    • C. Borgs, R. Kotecký, and D. Ueltschi, Low temperature phase diagrams of quantum perturbations of classical spin systems, Commun. Math. Phys. 181:409 (1996).
    • (1996) Commun. Math. Phys. , vol.181 , pp. 409
    • Borgs, C.1    Kotecký, R.2    Ueltschi, D.3
  • 5
    • 34250394856 scopus 로고
    • Non-translation invariant Gibbs states with coexisting phases. I. Existence of sharp interface for Widom-Rowlinson type lattice models in three dimensions
    • J. Bricmont, J. L. Lebowitz, C. E. Pfister, and E. Olivieri, Non-translation invariant Gibbs states with coexisting phases. I. Existence of sharp interface for Widom-Rowlinson type lattice models in three dimensions, Commun. Math. Phys. 66:1 (1979).
    • (1979) Commun. Math. Phys. , vol.66 , pp. 1
    • Bricmont, J.1    Lebowitz, J.L.2    Pfister, C.E.3    Olivieri, E.4
  • 6
    • 34250408819 scopus 로고
    • Non-translation invariant Gibbs states with coexisting phases. II. Cluster properties and surface tension
    • J. Bricmont, J. L. Lebowitz, and C. E. Pfister, Non-translation invariant Gibbs states with coexisting phases. II. Cluster properties and surface tension, Commun. Math. Phys. 66:21 (1979).
    • (1979) Commun. Math. Phys. , vol.66 , pp. 21
    • Bricmont, J.1    Lebowitz, J.L.2    Pfister, C.E.3
  • 9
    • 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
  • 10
    • 0001237213 scopus 로고    scopus 로고
    • Low-temperature phase diagrams of quantum lattice systems. II. Convergent perturbation expansions and stability in systems with infinite degeneracy
    • N. Datta, R. Ferńandez, J. Fröhlich, and L. Rey-Bellet, Low-temperature phase diagrams of quantum lattice systems. II. Convergent perturbation expansions and stability in systems with infinite degeneracy, Helv. Phys. Acta 69:752 (1996).
    • (1996) Helv. Phys. Acta , vol.69 , pp. 752
    • Datta, N.1    Ferńandez, R.2    Fröhlich, J.3    Rey-Bellet, L.4
  • 14
    • 0038020323 scopus 로고
    • Gibbsian random fields for lattice systems with pairwise interactions
    • R. L. Dobrushin, Gibbsian random fields for lattice systems with pairwise interactions, Functional Anal. Appl. 2:31 (1968).
    • (1968) Functional Anal. Appl. , vol.2 , pp. 31
    • Dobrushin, R.L.1
  • 15
    • 0001722765 scopus 로고
    • Gibbs state describing the coexistence of phases for a three-dimensional Ising model
    • R. L. Dobrushin, Gibbs state describing the coexistence of phases for a three-dimensional Ising model, Theor. Prob. Appl. 17:582 (1972).
    • (1972) Theor. Prob. Appl. , vol.17 , pp. 582
    • Dobrushin, R.L.1
  • 16
    • 0001407451 scopus 로고
    • An itinerant electron model with crystalline or magnetic long-range order
    • L. M. Falicov and J. C. Kimball, An itinerant electron model with crystalline or magnetic long-range order, Phys. Rev. Lett. 22:957 (1969).
    • (1969) Phys. Rev. Lett. , vol.22 , pp. 957
    • Falicov, L.M.1    Kimball, J.C.2
  • 18
    • 0000381710 scopus 로고
    • Ground states of the spinless Falicov Kimball model II
    • C. Gruber, J. Jedrzejewski, 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    Jedrzejewski, J.2    Lemberger, P.3
  • 20
    • 33751357335 scopus 로고    scopus 로고
    • The Falicov Kimball model: A review of exact results and extensions
    • C. Gruber, and N. Macris, The Falicov Kimball model: A review of exact results and extensions. Helv. Phys. Acta 69:850 (1996).
    • (1996) Helv. Phys. Acta , vol.69 , pp. 850
    • Gruber, C.1    Macris, N.2
  • 21
    • 6144262134 scopus 로고
    • Ordering due to disorder in a frustrated vector antiferromagnet
    • C. L. Henley, Ordering due to disorder in a frustrated vector antiferromagnet, Phys. Rev. Lett. 62:2056 (1989).
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 2056
    • Henley, C.L.1
  • 22
    • 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
  • 23
    • 85088078455 scopus 로고    scopus 로고
    • Phase separation in the neutral Falicov Kimball model
    • preprinted archived as cond-mat/9705315
    • T. Kennedy, Phase separation in the neutral Falicov Kimball model, preprinted archived as cond-mat/9705315, and submitted to J. Stat. Phys.
    • J. Stat. Phys.
    • Kennedy, T.1
  • 24
    • 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 138A:320-358 (1986).
    • (1986) Physica , vol.138 A , pp. 320-358
    • Kennedy, T.1    Lieb, E.H.2
  • 28
    • 0000488633 scopus 로고
    • Symmetries of plane partitions and the permanent determinant method
    • G. Kuperberg, Symmetries of plane partitions and the permanent determinant method, J. Comb. Theory 68:115 (1994).
    • (1994) J. Comb. Theory , vol.68 , pp. 115
    • Kuperberg, G.1
  • 29
    • 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
  • 30
    • 0007154103 scopus 로고    scopus 로고
    • Proceedings karpacs winter school, Poland
    • Springer-Verlag
    • N. Macris, Proceedings Karpacs Winter School, Poland (1996), Lecture Notes in Physics, Vol.477 (Springer-Verlag).
    • (1996) Lecture Notes in Physics , vol.477
    • Macris, N.1
  • 33
    • 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
  • 34
    • 21844509991 scopus 로고
    • Surface tension, step free energy, and facets in the equilibrium crystal
    • S. Miracle-Solé, Surface tension, step free energy, and facets in the equilibrium crystal, J. Stat. Phys. 79:183 (1995).
    • (1995) J. Stat. Phys. , vol.79 , pp. 183
    • Miracle-Solé, S.1
  • 36
    • 0000981771 scopus 로고
    • Large deviations and phase separation in the two-dimensional Ising model
    • C. E. Pfister, Large deviations and phase separation in the two-dimensional Ising model, Helv. Physica Acta 64:953 (1991).
    • (1991) Helv. Physica Acta , vol.64 , pp. 953
    • Pfister, C.E.1
  • 37
    • 0000837933 scopus 로고
    • Extension of Pirogov-Sinai theory of phase transitions to infinite range interactions I. Cluster expansion
    • Y. M. Park, Extension of Pirogov-Sinai theory of phase transitions to infinite range interactions I. Cluster expansion, Commun. Math. Phys. 114:187 (1988).
    • (1988) Commun. Math. Phys. , vol.114 , pp. 187
    • Park, Y.M.1
  • 38
    • 0001483440 scopus 로고
    • Phase diagrams of quantum lattice systems
    • S. A. Pirogov, Phase diagrams of quantum lattice systems, Soviet Math. Dokl. 19: 1096-1099 (1978).
    • (1978) Soviet Math. Dokl. , vol.19 , pp. 1096-1099
    • Pirogov, S.A.1
  • 39
    • 0002749724 scopus 로고
    • Phase diagrams of classical lattice systems
    • S. A. Pirogov and Ya. G. Sinai, Phase diagrams of classical lattice systems, Theor. Math. Phys. 25:1185-1192 (1976).
    • (1976) Theor. Math. Phys. , vol.25 , pp. 1185-1192
    • Pirogov, S.A.1    Sinai, Ya.G.2
  • 40
    • 0002749722 scopus 로고
    • Phase diagrams of classical lattice systems. Continuation
    • S. A. Pirogov and Ya. G. Sinai, Phase diagrams of classical lattice systems. Continuation, Theor. Math. Phys. 26:39-49 (1976).
    • (1976) Theor. Math. Phys. , vol.26 , pp. 39-49
    • Pirogov, S.A.1    Sinai, Ya.G.2
  • 41
    • 0002133437 scopus 로고    scopus 로고
    • Boundary-dependent local behavior for 2-D dimer models
    • J. Propp, Boundary-dependent local behavior for 2-D dimer models. To appear in J. Mod. Phys. B; ps-file available at http://www-math.mit.edu/~propp/articles; html.
    • J. Mod. Phys. B
    • Propp, J.1
  • 45
  • 47
    • 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 7:9521 (1995).
    • (1995) J. Phys. A , vol.7 , pp. 9521
    • Watson, G.I.1    Lemański, R.2
  • 48
    • 34250132309 scopus 로고
    • An alternate version of Pirogov Sinai theory
    • M. Zahradnik, An alternate version of 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.