Thermodynamically stable vortex structures in thin superconducting disks

We investigate the formation of thermodynamically stable vortex structures in a small, thin superconducting disk. We formulate the Gibbs free energy of the disk with an arbitrary number of vortices as a function of applied magnetic field and valid at finite temperatures. We minimize the energy to ob...

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Bibliographic Details
Published in:Physica. C, Superconductivity Superconductivity, 2008-04, Vol.468 (7-10), p.684-688
Main Authors: Wu, W.M., Sobnack, M.B., Kusmartsev, F.V.
Format: Article
Language:English
Subjects:
Anti-vortices
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Disks
Exact sciences and technology
Fluid flow
Gibbs free energy
Magnetic fields
Magnetic properties and materials
Magnetization
Mathematical analysis
Mesoscopic
Optimization
Physics
Superconductivity
Vortices
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Summary:We investigate the formation of thermodynamically stable vortex structures in a small, thin superconducting disk. We formulate the Gibbs free energy of the disk with an arbitrary number of vortices as a function of applied magnetic field and valid at finite temperatures. We minimize the energy to obtain the optimal position of vortices for different applied fields and temperatures. We also analyze the stability of the different vortex states inside the disk and compare our results with available experimental observations. Our results are in very good agreement with experiments.
ISSN:0921-4534
1873-2143
DOI:10.1016/j.physc.2007.11.032