Abstract
In this contribution we present the exact solution of the Falicow-Kimball-model for large dimensions and finite temperatures. We find the phase-transition, give an expression for the critical temperature and calculate several correlation functions of this system. Our result is obtained by mapping the lattice problem on a soluble atomic problem in a generalized time-dependent external field, which allows the extraction of the exact functional dependence of the self-energy on the Green's function.
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Brandt, U., Mielsch, C. Thermodynamics and correlation functions of the Falicov-Kimball model in large dimensions. Z. Physik B - Condensed Matter 75, 365–370 (1989). https://doi.org/10.1007/BF01321824
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DOI: https://doi.org/10.1007/BF01321824