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Correlation inequalities and the Kosterlitz-Thouless transition for anisotropic rotators

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Abstract

I give a proof of the Kosterlitz-Thouless transition for sufficiently anisotropic (J zJ −1x =J zJ −1y <2q −(JKT)−J) two-dimensionalN-component rotators (N⩾ 3). The method is based on Wells' inequality and is related to mean field Gaussian inequalities.

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Authors and Affiliations

  1. Laboratoire LP.14 du CNRS, Centre de Physique Théorique de l'Ècole Polytechnique, Plateau de Palaiseau, 91128, Palaiseau Cedex, France

    François Dunlop

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Dunlop, F. Correlation inequalities and the Kosterlitz-Thouless transition for anisotropic rotators. J Stat Phys 41, 733–743 (1985). https://doi.org/10.1007/BF01010001

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  • DOI: https://doi.org/10.1007/BF01010001

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