1998/11/24 by Helmut G. Katzgraber, H. G. Katzgraber, Hans Peter Büchler +2 · 1 citation
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #Quantum, superfluid, helium dynamics #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.59.11990
published as Phys. Rev. B 59, Number 18, 11990, (1999) · 11 pages, 3 figures
arxiv created 1998/11/24 · openalex publication_date 1999/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present an 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 vortex lines onto the imaginary time quantum mechanics of two-dimensional charged bosons allows us to define a two-dimensional (2D) Casimir problem: Two half spaces of (dilute) 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 previously found by Blatter and Geshkenbein [Phys. Rev. Lett. 77, 4958 (1996)].