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Phase diagrams of extended Hubbard models in the atomic limit

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  • Jȩdrzejewski, J.

Abstract

We consider phase diagrams of a family of two-dimensional Hubbard-like models in the atomic limit. We start with the ground state phase diagram of the Hubbard model augmented by a nearest-neighbour repulsion and study the effect of a perturbation by temperature. This enables us to reveal the origin of the tricritical behaviour found earlier in a mean field approximation. Then we study perturbations by next nearest-neighbour repulsive interactions, Ising-like nearest- and next nearest-neighbour magnetic interactions and by temperature. Finally the ground state phase diagram corresponding to a class of long range repulsive and Ising-like interactions is considered. While such repulsive interactions generate infinitely many charge-ordered phases, we argue that an arbitrary small narrow band may prevail and leave only finitely many of them.

Suggested Citation

  • Jȩdrzejewski, J., 1994. "Phase diagrams of extended Hubbard models in the atomic limit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(4), pages 702-717.
    • Handle: RePEc:eee:phsmap:v:205:y:1994:i:4:p:702-717
    DOI: 10.1016/0378-4371(94)90231-3
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    1. Nikos Alexandratos & Jelle Bruinsma & Janos Hrabovszky, 1982. "Power inputs from labour, draught animals and machines in the agriculture of the developing countries," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 9(2), pages 127-155.
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