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We study numerically the influence of the substrate (boundary conditions) on the finite-size scaling properties of the superfluid density ρ s  in superfluid films of thicknessH within the XY model employing the Monte Carlo method. Our results suggest that the jump ρ s  H/T  c  at the Kosterlitz-Thouless transition temperatureT c depends on the boundary conditions.

Boundary effects on the scaling of the superfluid density