Scaling of the superfluid density in superfluid films

Details Scaling of the superfluid density in superfluid films Scaling of the superfluid density in superfluid films

1996-02-15

arxiv.org/abs/cond-mat/9602085v2

Physics

Condensed Matter

4 pages, one postscript file replaced by one Latex file and 5 postscript figures

Scientific paper

10.1007/BF00754625

We study scaling of the superfluid density with respect to the film thickness by simulating the $x-y$ model on films of size $L \times L \times H$ ($L >> H$) using the cluster Monte Carlo. While periodic boundary conditions where used in the planar ($L$) directions, Dirichlet boundary conditions where used along the film thickness. We find that our results can be scaled on a universal curve by introducing an effective thickness. In the limit of large $H$ our scaling relations reduce to the conventional scaling forms. Using the same idea we find scaling in the experimental results using the same value of $\nu = 0.6705$.

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