Scaling of the specific heat in superfluid films

Abstract

We study the specific heat of the $x-y$ model on lattices $L\times L\times H$ with $L\gg H$ (i.e. on lattices representing a film geometry) using the Cluster Monte--Carlo method. In the $H$--direction we apply Dirichlet boundary conditions so that the order parameter in the top and bottom layers is zero. We find that our results for the specific heat of various thickness size $H$ collapse on the same universal scaling function. The extracted scaling function of the specific heat is in good agreement with the experimentally determined universal scaling function using no free parameters.

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References in corpus (3)

• Critical Behaviour of the 3D XY-Model: A Monte Carlo Study
• The specific heat of superfluids near the transition temperature
• Crossover from Two- to Three-Dimensional Behavior in Superfluids

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• The specific heat of thin films near the lambda-transition: A Monte Carlo study of an improved three-dimensional lattice model
• D-XY Critical Behavior in Cuprate Superconductors
• Scaling Function for the Critical Specific Heat in a Confined Geometry : Spherical Limit
• Scaling of the superfluid density in superfluid films
• Boundary effects on the scaling of the superfluid density