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Limiting Gibbs States and Phase Transitions of a Bipartite Mean-Field Hubbard Model

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Abstract

In the frame of operator-algebraic quantum statistical mechanics we calculate the grand canonical equilibrium states of a bipartite, microscopic mean-field model for bipolaronic superconductors (or anisotropic antiferromagnetic materials in the quasispin formulation). Depending on temperature and chemical potential, the sets of statistical equilibrium states exhibit four qualitatively different regions, describing the normal, superconducting (spin-flopped), charge ordered (antiferromagnetic), and coexistence phases. Besides phase transitions of the second kind, the model also shows phase transitions of the first kind between the superconducting and the charge ordered phases. A unique limiting Gibbs state is found in its central decomposition for all temperatures, even in the coexistence region, if the thermodynamic limit is performed at fixed particle density (magnetization).

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  1. Institut für Theoretische Physik, Universität Tübingen, D-72076, Tübingen, Germany

    T. Gerisch & A. Rieckers

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  1. T. Gerisch
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Gerisch, T., Rieckers, A. Limiting Gibbs States and Phase Transitions of a Bipartite Mean-Field Hubbard Model. Journal of Statistical Physics 91, 759–785 (1998). https://doi.org/10.1023/A:1023089930061

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