  A numerical diagonalization technique with canonical Monte-Carlo simulation
algorithm is used to study the phase transitions from low temperature (ordered)
phase to high temperature (disordered) phase of spinless Falicov-Kimball model
on a triangular lattice with correlated hopping ($t^{\prime}$). It is observed
that the low temperature ordered phases (i.e. regular, bounded and segregated)
persist up to a finite critical temperature ($T_{c}$). In addition, we observe
that the critical temperature decreases with increasing the correlated hopping
in regular and bounded phases whereas it increases in the segregated phase.
Single and multi peak patterns seen in the temperature dependence of specific
heat ($C_v$) and charge susceptibility ($\chi$) for different values of
parameters like on-site Coulomb correlation strength ($U$), correlated hopping
($t^{\prime}$) and filling of localized electrons ($n_{f}$) are also discussed.
