Scaling of the superfluid density in superfluid films

Abstract

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 $\nu =0.6705$.

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

References in corpus (2)

• Scaling of the specific heat in superfluid films
• Crossover from Two- to Three-Dimensional Behavior in Superfluids

Cited by in corpus (4)

• Kosterlitz-Thouless transition in thin films: A Monte Carlo study of three-dimensional lattice models
• Boundary effects in superfluid films
• Dimensional crossover of Bose-Einstein condensation phenomena in quantum gases confined within slab geometries
• Conformal field theory and the hot phase of three-dimensional U(1) gauge theory