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Existence of phase transitions for quantum lattice systems

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Abstract

We prove that the following lattice systems:

  1. (1)

    anisotropic Heisenberg model,

  2. (2)

    Ising model with transverse magnetic field,

  3. (3)

    quantum lattice gas with hard cores extending over nearest neighbours,

exhibit phase transitions if the temperature is sufficiently low and the transverse (or kinetic) part of the interaction sufficiently small.

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Authors and Affiliations

  1. Laboratoire de Physique Théorique et Hautes Energies, Orsay, France

    J. Ginibre

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  1. J. Ginibre
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Laboratoire associé au Centre National de la Recherche Scientifique.

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Ginibre, J. Existence of phase transitions for quantum lattice systems. Commun.Math. Phys. 14, 205–234 (1969). https://doi.org/10.1007/BF01645421

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  • DOI: https://doi.org/10.1007/BF01645421

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