Fermion kinetics in the Falicov-Kimball limit of the three-band Emerymodel

The three-band Emery model is reduced to a single-particle quantum model ofFalicov-Kimball type, by allowing only up-spins to hop, and forbidding doubleoccupation by projection. It is used to study the effects of geometricobstruction on mobile fermions in thermodynamic equilibrium. For low hoppingoverlap, there appears a plateau in the entropy, due to charge correlations,and related to real-space disorder. For large overlap, the equilibriumthermopower susceptibility remains anomalous, with a sign opposite to the onepredicted from the single-particle density of states. The heat capacity andnon-Fermi liquid response are discussed in the context of similar results inthe literature. All results are obtained by evaluation of an effectivesingle-particle free-energy operator in closed form. The method to obtain thisoperator is described in detail.