Topology and Phase Transitions in the Little-Parks Experiment

dc.creatorBerger, Jorge
dc.creatorRubinstein, Jacob
dc.date1996-08-08
dc.date.accessioned2026-07-07T09:18:04Z
dc.date.available2026-07-07T09:18:04Z
dc.descriptionThis is an analytic study of the problem of transitions between normal and superconducting phases for a sample which encloses a magnetic flux. A preliminary study of this problem, based on numerical minimization of the free energy for a particular form of the thickness of the sample, was published in Phys. Rev. Lett. {\bf 75}, 320 (1995). For a sample of uniform thickness the order parameter is uniform, but even infinitesimal deviations from uniform thickness give rise to a singly connected state in which the order parameter vanishes at a suitable layer, so that the superconducting part does not enclose the magnetic field. The stability domain of this singly connected state is a line segment in the magnetic field-temperature plane, delimited by two critical points. The phase diagram contains several bifurcation lines, which are systematically analyzed.
dc.descriptionLatex, 26 pages, 5 figs upon request
dc.identifierhttps://arxiv.org/abs/supr-con/9608001
dc.identifierhttp://arxiv.org/abs/supr-con/9608001
dc.identifierSIAM J Appl Math {\bf 58} (1998) 103--121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153895
dc.subjectSuperconductivity
dc.subjectQuantum Physics
dc.titleTopology and Phase Transitions in the Little-Parks Experiment
dc.typetext

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