Abstract
Using the powerful method of reflection-positivity and chess-board estimates, we prove the existence of phase transition for certain class of isotropic short-range interactions with continuous symmetry, provided that the dimension of the lattice is at least two, and the temperature is low enough.
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Communicated by J. L. Lebowitz
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Shlosman, S.B. Phase transitions for two-dimensional models with isotropic short-range interactions and continuous symmetries. Commun.Math. Phys. 71, 207–212 (1980). https://doi.org/10.1007/BF01197919
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DOI: https://doi.org/10.1007/BF01197919