Abstract
We show how to calculate the free energy of the spinless Falicov Kimball model exactly in the limit of infinite dimensions, and do it explicitly for the homogeneous and the chessboard phase. By comparing the free energies for those two cases we study the transitions between the pure phases, and by looking for concavities in the course of the free energy as a function of the meanf-particle density we examine the possibility of phase segregation.
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Brandt, U., Mielsch, C. Free energy of the Falicov-Kimball model in large dimensions. Z. Physik B - Condensed Matter 82, 37–41 (1991). https://doi.org/10.1007/BF01313984
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DOI: https://doi.org/10.1007/BF01313984