Ca. Macedo et al., Thermodynamics of the one-dimensional half-filled-band Falicov-Kimball model - art. no. 184441, PHYS REV B, 6418(18), 2001, pp. 4441
In order to contribute to understand well the finite-temperature properties
of the Falicov-Kimball model, we study the temperature dependence of the s
pecific heat, internal energy, entropy, and mean square fluctuation of the
difference between the ion and electron numbers, and of the correlation fun
ctions of the one-dimensional half-filled-band Falicov-Kimball model. For t
his purpose we used the method of small-cluster exact-diagonalization calcu
lations with the application of the grand canonical ensemble and of extrapo
lation techniques to the infinite chain. Our results show that the examined
Falicov-Kimball model exhibits behavior of alternate electron-ion short-ra
nge ordering at low temperature. and gradual metal-insulator transition at
high temperature, but, does not exhibit the crossing point of the specific
heat curves, characteristic of the Hubbard model.