Eur. Phys. J. B 77, 393-399 (2010)
https://doi.org/10.1140/epjb/e2010-00286-y

Phase transitions in the spinless Falicov-Kimball model with correlated hopping

Institute of Experimental Physics, Slovak Academy of Sciences, Watsonova 47, 040 01 Košice, Slovakia

Corresponding author: ^a farky@saske.sk

Received: 12 July 2010
Revised: 30 August 2010
Published online: 27 September 2010

Abstract

The canonical Monte-Carlo is used to study the phase transitions from the low-temperature ordered phase to the high-temperature disordered phase in the two-dimensional half-filled Falicov-Kimball model with correlated hopping. As the low-temperature ordered phase we consider the chessboard phase, the axial striped phase and the segregated phase. It is shown specifically for weak coupling, which is the most interesting regime, that all three phases persist also at finite temperatures (up to the critical temperature τ_c) and that the phase transition at the critical point is of the first order for the chessboard and axial striped phase and of the second order for the segregated phase. In addition, it is found that the critical temperature is reduced with the increasing amplitude of correlated hopping t' in the chessboard phase and it is strongly enhanced by t' in the axial striped and segregated phase.