Vortex fluctuations in the critical Casimir effect of superfluid and superconducting films.
Vortex-loop renormalization techniques are used to calculate the magnitude of the critical Casimir forces in superfluid films. The force is found to become appreciable when the size of the thermal vortex loops is comparable to the film thickness, and the results for T<T(c) are found to match very well with perturbative renormalization theories that have been carried out only for T>T(c). When applied to a high-T(c) superconducting film connected to a bulk sample, the Casimir force causes a voltage difference to appear between the film and the bulk, and estimates show that this may be readily measurable.
Williams
Gary A
GA
Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA.