Thermodynamics of the one-dimensional half-filled-band Falicov-Kimball model - art. no. 184441

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.