Ginzburg-Landau Vortex Lattice in Superconductor Films of Finite Thickness

Details Ginzburg-Landau Vortex Lattice in Superconductor Films of Finite Thickness Ginzburg-Landau Vortex Lattice in Superconductor Films of Finite Thickness

2004-09-30

arxiv.org/abs/cond-mat/0409779v2

Physics

Condensed Matter

Superconductivity

12 pages including 14 Figures, corrected, Fig.14 added, appears in Phys. Rev. B 71, issue 1 (2005)

Scientific paper

10.1103/PhysRevB.71.014521

The Ginzburg-Landau equations are solved for ideally periodic vortex lattices in superconducting films of arbitrary thickness in a perpendicular magnetic field. The order parameter, current density, magnetic moment, and the 3-dimensional magnetic field inside and outside the film are obtained in the entire ranges of the applied magnetic field, Ginzburg Landau parameter kappa, and film thickness. The superconducting order parameter varies very little near the surface (by about 0.01) and the energy of the film surface is small. The shear modulus c66 of the triangular vortex lattice in thin films coincides with the bulk c66 taken at large kappa. In thin type-I superconductor films with kappa < 0.707, c66 can be positive at low fields and negative at high fields.

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