Superfluid transition and specific heat of the 2D x-y model: Monte Carlo simulation
Statistical Mechanics
2021-06-01 v1
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.
Keywords
Cite
@article{arxiv.2105.14112,
title = {Superfluid transition and specific heat of the 2D x-y model: Monte Carlo simulation},
author = {Phong H. Nguyen and Massimo Boninsegni},
journal= {arXiv preprint arXiv:2105.14112},
year = {2021}
}