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arXiv · 2105.14112

Superfluid transition and specific heat of the 2D x-y model: Monte Carlo simulation

Phong H. Nguyen·Massimo Boninsegni
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Abstract

We present results of large-scale Monte Carlo simulations of the 2D classical x-y model on the square lattice. We obtain high accuracy results for the superfluid fraction and for the specific heat as a function of temperature, for systems of linear size L up to 4096. Our estimate for the superfluid transition temperature is consistent with those furnished in all previous studies. The specific heat displays a well-defined peak, whose shape and position are independent of the size of the lattice for L > 256, within the statistical uncertainties of our calculations. The implications of these results on the interpretation of experiments on adsorbed thin films of He-4 are discussed.

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Phong H. Nguyen, Massimo Boninsegni. 2021-05-28. Superfluid transition and specific heat of the 2D x-y model: Monte Carlo simulation. https://doi.org/10.3390/app11114931

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