Spontaneous generation of single vortices and anti-vortices in superconductors with restricted geometries

M. B. Sobnack, F. V. Kusmartsev, J. C.H. Fung

Research output: Contribution to journalArticlepeer-review

Abstract

We study the nucleation of vortices in a thin (thickness ≪ penetration depth) mesoscopic superconducting disc in an applied magnetic field perpendicular to the disc (i.e., parallel to the axis of the disc). We write down an expression for the free energy of the system with an arbitrary number of vortices and anti-vortices at finite (non-zero) temperatures. For a given applied field, we minimize the free energy to find the optimal position of the vortices and anti-vortices (the configuration which minimizes the energy). We show that, whereas at zero temperature anti-vortices do not nucleate, anti-vortices do penetrate the disc at finite temperatures. We also calculate the magnetization of the disc as a function of the applied field and hence determine the different configurations possible in which a fixed number of fluxoids can penetrate the disc.

Original languageBritish English
Pages (from-to)869-873
Number of pages5
JournalJournal of Low Temperature Physics
Volume148
Issue number5-6
DOIs
StatePublished - Sep 2007

Keywords

  • 67.40.Vs
  • 67.40.w
  • 73.23.-b
  • 74.78.w

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