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Casimir force between two half spaces of vortex matter in anisotropic superconductors

2000/02/12 by Hans Peter Büchler, H. P. Buechler, Helmut G. Katzgraber +2
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum Electrodynamics and Casimir Effect #Quantum, superfluid, helium dynamics #cond-mat.supr-con

paper · pdf · doi:10.1016/s0921-4534(99)00712-1

published as Physica C 332, Issue 1-4, (2000) · Submitted to Physica C (4 pages, 2 figures)

arxiv created 2000/02/12 · openalex publication_date 2000/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present a new approach to calculate the attractive long-range vortex-vortex interaction of the van der Waals type present in anisotropic and layered superconductors. The mapping of the statistical mechanics of two-dimensional charged bosons allows us to define a Casimir problem: Two half spaces of vortex matter separated by a gap of width R are mapped to two dielectric half planes of charged bosons interacting via a massive gauge field. We determine the attractive Casimir force between the two half planes and show that it agrees with the pairwise summation of the van der Waals force between vortices.

Citations