Flux-Induced Vortex in Mesoscopic Superconducting Loops

Abstract

We predict the existence of a quantum vortex for an unusual situation. We study the order parameter in doubly connected superconducting samples embedded in a uniform magnetic field. For samples with perfect cylindrical symmetry, the order parameter has been known for long and no vortices are present in the linear regime. However, if the sample is not symmetric, there exist ranges of the field for which the order parameter vanishes along a line, parallel to the field. In many respects, the behavior of this line is qualitatively different from that of the vortices encountered in type II superconductivity. For samples with mirror symmetry, this flux-induced vortex appears at the thin side for small fluxes and at the opposite side for large fluxes. We propose direct and indirect experimental methods which could test our predictions.

6 pages, Latex, 4 figs., uses RevTex, extended to situations far from cylindrical symmetry

References in corpus (3)

• Cosmological Experiments in Condensed Matter Systems
• Critical Fields of mesoscopic superconductors
• Superfluid Bosons and Flux Liquids: Disorder, Thermal Fluctuations, and Finite-Size Effects

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• Flux transitions in a superconducting ring
• Influence of Thermal Fluctuations on Uniform and Nonuniform Superconducting Rings according to the Ginzburg--Landau and the Kramer--Watts-Tobin Models
• Half-Integer Winding Number Solutions to the Landau-Ginzburg-Higgs Equations and Instability of the Abrikosov-Nielsen-Olesen Vortex
• Nonlinearity of the field induced by a rotating superconducting shell
• Nucleation of Superconductivity in a Mesoscopic Loop of Finite Width