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

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.

References in corpus (2)

• Large-scale Monte Carlo simulation of two-dimensional classical XY model using multiple GPUs
• Specific heat of thin ${}^4$He films on graphite

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