Boundary effects on the scaling of the superfluid density

TL;DR

This study numerically investigates how boundary conditions affect the finite-size scaling of superfluid density in superfluid films, revealing that the superfluid density jump at the transition depends on boundary conditions.

Contribution

It demonstrates that boundary conditions influence the superfluid density scaling and the magnitude of the jump at the Kosterlitz--Thouless transition in the XY model.

Findings

Boundary conditions alter the superfluid density scaling behavior.

The superfluid density jump at T_c depends on boundary conditions.

Finite-size effects are significant in superfluid film simulations.

Abstract

We study numerically the influence of the substrate (boundary conditions) on the finite--size scaling properties of the superfluid density $\rho_s$ in superfluid films of thickness $H$ within the XY model employing the Monte Carlo method. Our results suggest that the jump $\rho_s H/T_c$ at the Kosterlitz--Thouless transition temperature $T_c$ depends on the boundary conditions.