# Villain model with long-range couplings

@inproceedings{Giachetti2022VillainMW, title={Villain model with long-range couplings}, author={Guido Giachetti and Nicol{\`o} Defenu and Stefano Ruffo and Andrea Trombettoni}, year={2022} }

The nearest-neighbor Villain, or periodic Gaussian, model is a useful tool to understand the physics of the topological defects of the two-dimensional nearest-neighbor XY model, as the two models share the same symmetries and are in the same universality class. The long-range counterpart of the two-dimensional XY has been recently shown to exhibit a non-trivial critical behavior, with a complex phase diagram including a range of values of the power-law exponent of the couplings decay, σ , in…

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