Casimir Forces with Periodic Structures: Abrikosov Flux Lattices

Shunashi G. Castillo-López; Raúl Esquivel-Sirvent; Giuseppe Pirruccio; Carlos Villarreal

doi:10.20944/preprints202312.0293.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 4 December 2023 / Approved: 6 December 2023 / Online: 6 December 2023 (03:16:22 CET)

We investigate the influence of the Abrikosov vortex lattice on the Casimir force in a setup constituted by high-temperature superconductors subject to an external magnetic field. The Abrikosov lattice is a property of type II superconductors in which normal and superconducting carriers coexist and these latter define a periodic pattern with squared symmetry. We find that the optical properties determined by spatial redistribution of the superconducting order parameter induce Casimir forces with a periodic structure whose minimal strengths coincide with the vortex cores.

casimir; superconductor; fluxon; Abrikosov lattice, vortex

Physical Sciences, Theoretical Physics

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Casimir Forces with Periodic Structures: Abrikosov Flux Lattices

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