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From phase separation to long-range order in a system of interacting electrons

Author

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  • Derzhko, Volodymyr
  • Jȩdrzejewski, Janusz

Abstract

We study a system composed of fermions (electrons), hopping on a square lattice, and of immobile particles (ions), that is described by the spinless Falicov–Kimball Hamiltonian augmented by a next-nearest-neighbor attractive interaction between the ions (a nearest-neighbor repulsive interaction between the ions can be included and does not alter the results). A part of the grand-canonical phase diagram of this system is constructed rigorously, when the coupling between the electrons and ions is much stronger than the hopping intensity of electrons. The obtained diagram implies that, at least for a few rational densities of particles, by increasing the hopping intensity the system can be driven from a state of phase separation to a state with a long-range order. This kind of transitions occurs also, when the hopping fermions are replaced by hopping hard-core bosons.

Suggested Citation

  • Derzhko, Volodymyr & Jȩdrzejewski, Janusz, 2003. "From phase separation to long-range order in a system of interacting electrons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 328(3), pages 449-465.
    • Handle: RePEc:eee:phsmap:v:328:y:2003:i:3:p:449-465
    DOI: 10.1016/S0378-4371(03)00548-X
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    References listed on IDEAS

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    1. Watson, G.I., 1997. "Repulsive particles on a two-dimensional lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(1), pages 253-274.
    2. Kennedy, Tom & Lieb, Elliott H., 1986. "An itinerant electron model with crystalline or magnetic long range order," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 138(1), pages 320-358.
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    Cited by:

    1. Derzhko, Volodymyr & Je¸drzejewski, Janusz, 2005. "Formation of charge-stripe phases in a system of spinless fermions or hardcore bosons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(3), pages 511-534.

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