Abstract
In a former paper we presented the exact solution of the Falicov-Kimball-model in large dimensions and showed the existence of phase transitions for certain parameter combinations, especially for the symmetric case. In this contribution we investigate the conditions for transitions apart from the symmetric case and show that the phase following the homogeneous high temperature phase will have chessboard symmetry if the transition is a continuous charge density transition. The corresponding phase diagrams are shown as well as results on the order parameter of the chessboard phase.
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References
Falicov, L.M., Kimball, J.C.: Phys. Rev. Lett.22, 997 (1969)
Brandt, U., Schmidt, R.: Z. Phys. B-Condensed Matter63, 45 (1986)
Schmidt, R.: Thesis (1986)
Lieb, E.H., Kennedy, T.: Physica138A, 320 (1986)
Lieb, E.H.: Physica140A, 240 (1986)
Brandt, U., Schmidt, R.: Z. Phys. B-Condensed Matter67, 43 (1987)
Schmidt, R.: Thesis (1986)
Freericks, J.K., Falicov, L.M.: Study of the two-state one-dimensional spinless Fermi gas. Preprint LBL 27524 (1989)
Brandt, U., Mielsch, C.: Z. Phys. B-Condensed Matter75, 365 (1989)
Metzner, W., Vollhardt, D.: Phys. Rev. Lett.62, 324 (1989)
Müller-Hartmann, E.: Z. Phys. B-Condensed Matter74, 507 (1989)
Metzner, W.: Z. Phys. B-Condensed Matter77, 253 (1989)
Schweitzer, H., Czycholl, G.: Solid State Comm.69, 171 (1989)
Müller-Hartmann, E.: Z. Phys. B-Condensed Matter76, 211 (1989)
Baym, G., Kadanoff, L.P.: Phys. Rev.124, 287 (1961)
Baym, G.: Phys. Rev.127, 1391 (1962)
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Brandt, U., Mielsch, C. Thermodynamics of the Falicov-Kimball model in large dimensions II. Z. Physik B - Condensed Matter 79, 295–299 (1990). https://doi.org/10.1007/BF01406598
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DOI: https://doi.org/10.1007/BF01406598