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Phase transitions in systems with a finite number of dominant ground states

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Abstract

We develop a theory of low-temperature phases of discrete lattice systems which is guided by formal perturbation theory, and which in turn yields its rigorous justification. The theory applies to many systems with an infinite number of ground states for which the perturbation theory predicts a finite number of low-temperature phases. We illustrate it on a number of examples.

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Author notes

  1. J. Bricmont

    Present address: Institut de Physique Théorique, B-1348, Louvain-la-Neuve, Belgium

Authors and Affiliations

  1. Physics Department, Princeton University, 08540, Princeton, New Jersey

    J. Bricmont

  2. Center for Transport Theory and Mathematical Physics, Virginia Polytechnic Institute and State University, 24061, Blacksburg, Virginia

    J. Slawny

Authors
  1. J. Bricmont
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  2. J. Slawny
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Bricmont, J., Slawny, J. Phase transitions in systems with a finite number of dominant ground states. J Stat Phys 54, 89–161 (1989). https://doi.org/10.1007/BF01023475

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  • DOI: https://doi.org/10.1007/BF01023475

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