Nucleation of vortices in thin superconducting disks

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

Research output: Contribution to journalArticlepeer-review


We study the nucleation of vortices in a thin mesoscopic superconducting disk in an applied magnetic field perpendicular to the disc. We write down an expression for the free energy of the system with an arbitrary number of vortices and anti-vortices. For a given applied field, we minimize the free energy to find the optimal position of the vortices and anti-vortices. We also calculate the magnetization of the disk as a function of the applied field and hence the determine the different configurations possible in which a fixed number of fluxoids can penetrate the disk.

Original languageBritish English
Pages (from-to)5321-5324
Number of pages4
JournalInternational Journal of Modern Physics B
Issue number30-31
StatePublished - 20 Dec 2006


  • Anti-vortices
  • Magnetization
  • Vortices


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