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

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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 (\(T_c\)), 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.

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Acknowledgements

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

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Authors and Affiliations

  1. Department of Physics, Vaish College Rohtak, Rohtak, Haryana, 124001, India

    Sant Kumar

  2. Department of Physics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, 247667, India

    Avijeet Ray

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  1. Sant Kumar
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  2. Avijeet Ray
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Correspondence to Sant Kumar.

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Kumar, S., Ray, A. Phase Transitions in Spin-1/2 Falicov–Kimball Model on a Two-dimensional Triangular Lattice. J Low Temp Phys 189, 98–107 (2017). https://doi.org/10.1007/s10909-017-1793-z

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  • DOI: https://doi.org/10.1007/s10909-017-1793-z

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