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Vortex Fluctuations in the Critical Casimir Effect of Superfluid and Superconducting Films

2003/07/10 by Gary A. Williams · 3 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum Electrodynamics and Casimir Effect #Quantum, superfluid, helium dynamics #cond-mat.stat-mech #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.92.197003

4 pages, 5 figures, Revtex 4, typo correction

arxiv created 2003/07/10 · openalex publication_date 2004/05/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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