Journal of Low Temperature Physics

, Volume 189, Issue 1–2, pp 98–107 | Cite as

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



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 (\(T_c\)), homogeneous phases are observed for all parameter space. We have also calculated the temperature dependence of specific heat and observed a sharp jump at \(T_c\) indicating the phase transition, and this \(T_c\) increases with increase in on-site Coulomb correlation U and electron fillings.


Strongly correlated electronic systems Numerical simulations Triangular lattice Exchange interaction 



SK and AR acknowledge MHRD and CSIR (India), respectively, for research fellowships.


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© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.Department of PhysicsVaish College RohtakRohtakIndia
  2. 2.Department of PhysicsIndian Institute of Technology RoorkeeRoorkeeIndia

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