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On the phase diagram of the extended Hubbard model with intersite density–density interactions in the atomic limit

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  • Kapcia, Konrad Jerzy
  • Robaszkiewicz, Stanisław

Abstract

The charge ordering is a phenomenon associated with inhomogeneous distribution of electron density occurring mostly in strongly correlated materials such as transition metal oxides or organic conductors. The extended Hubbard model (EHM) is one of the simplest model for description of this phenomenon. The full phase diagram of the EHM with intersite density–density interactions W1 and W2 (nearest- and next-nearest-neighbour, respectively) in the atomic limit as a function of the chemical potential has been derived in the variational approach, which treats the on-site interaction exactly and the intersite interactions within mean-field approximation. The results for arbitrary values of model parameters (in the two-sublattice assumption) reveal that the diagram has very complex structure including various (multi-)critical points. A variety of the transitions between different phases, in particular with long-range charge-order, has been found to occur on the diagram. The results presented are rigorous ones in the high-dimension limit for any W1 and W2≤0.

Suggested Citation

  • Kapcia, Konrad Jerzy & Robaszkiewicz, Stanisław, 2016. "On the phase diagram of the extended Hubbard model with intersite density–density interactions in the atomic limit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 487-497.
    • Handle: RePEc:eee:phsmap:v:461:y:2016:i:c:p:487-497
    DOI: 10.1016/j.physa.2016.05.056
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    References listed on IDEAS

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    1. Ferdinando Mancini & Evgeny Plekhanov & Gerardo Sica, 2013. "Exact solution of the 1D Hubbard model with NN and NNN interactions in the narrow-band limit," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(10), pages 1-12, October.
    2. F. Mancini & F. P. Mancini, 2009. "Extended Hubbard model in the presence of a magnetic field," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 68(3), pages 341-351, April.
    3. A. Kalz & A. Honecker & S. Fuchs & T. Pruschke, 2008. "Phase diagram of the Ising square lattice with competing interactions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 65(4), pages 533-537, October.
    4. Andrzej Ptok, 2014. "Influence of s ± symmetry on unconventional superconductivity in pnictides above the Pauli limit – two-band model study," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(1), pages 1-7, January.
    5. F. Mancini & F. P. Mancini, 2010. "Different orderings in the narrow-band limit of the extended Hubbard model on the Bethe lattice," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 73(4), pages 581-595, February.
    6. Kapcia, Konrad Jerzy & Murawski, Szymon & Kłobus, Waldemar & Robaszkiewicz, Stanisław, 2015. "Magnetic orderings and phase separations in a simple model of insulating systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 218-234.
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