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Condensed Matter > Mesoscale and Nanoscale Physics

arXiv:1806.01192 (cond-mat)
[Submitted on 4 Jun 2018 (v1), last revised 8 Jul 2018 (this version, v2)]

Title:Persistent current in a thin superconducting wire

Authors:Ilya Vilkoviskiy
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Abstract:In this paper, we explore the persistent current in thin superconducting wires and accurately examine the effects of the phase slips on that current. The main result of the paper is the formula for persistent current in terms of the solutions of certain (nonlinear) integral equation. This equation allows to find asymptotics of the current at long(small) length of the wire, in that paper, we interested in the region in which the system becomes strongly interacting and very few amounts of information can be extracted by perturbation theory. Nevertheless, due to the integrability, exact results for the current can be obtained. We observe that at the limit of a long wire, the current becomes exponentially small, we believe that it is the signal that phase slips may destroy superconductivity for long wires, below BKT phase transition.
Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Mathematical Physics (math-ph)
Cite as: arXiv:1806.01192 [cond-mat.mes-hall]
  (or arXiv:1806.01192v2 [cond-mat.mes-hall] for this version)
  https://doi.org/10.48550/arXiv.1806.01192

Submission history

From: Ilya Vilkoviskiy [view email]
[v1] Mon, 4 Jun 2018 16:37:09 UTC (929 KB)
[v2] Sun, 8 Jul 2018 11:56:20 UTC (1,120 KB)
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