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Phase Transitions in Spin-1/2 Falicov–Kimball Model on a Two-dimensional Triangular Lattice

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Phase transitions from low-temperature (ordered) phases to high-temperature (disordered/homogeneous) phases for different fillings are studied on a triangular lattice using the spin-dependent Falicov–Kimball model. Numerical diagonalization and Monte Carlo simulation… Click to show full abstract

Phase transitions from low-temperature (ordered) phases to high-temperature (disordered/homogeneous) phases for different fillings are studied on a triangular lattice using the spin-dependent Falicov–Kimball model. Numerical diagonalization and Monte Carlo simulation methods are used to study thermodynamic properties of the system. It has been observed that low-temperature ordered phases persist up to a finite temperature and after reaching a critical temperature ($$T_c$$Tc), homogeneous phases are observed for all parameter space. We have also calculated the temperature dependence of specific heat and observed a sharp jump at $$T_c$$Tc indicating the phase transition, and this $$T_c$$Tc increases with increase in on-site Coulomb correlation U and electron fillings.

Keywords: triangular lattice; temperature; phase transitions; kimball model; falicov kimball

Journal Title: Journal of Low Temperature Physics
Year Published: 2017

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