Self-dual Ginzburg-Landau vortices in a disk

Details Self-dual Ginzburg-Landau vortices in a disk Self-dual Ginzburg-Landau vortices in a disk

2000-05-11

arxiv.org/abs/cond-mat/0005199v1

Physics

Condensed Matter

Superconductivity

8 pages, 4 figures, RevTex macros

Scientific paper

10.1088/0305-4470/34/28/308

We study the properties of the Ginzburg-Laundau model in the self-dual point for a two-dimensional finite system . By a numerical calculation we analyze the solutions of the Euler-Lagrange equations for a cylindrically symmetric ansatz. We also study the self-dual equations for this case. We find that the minimal energy configurations are not given by the Bogomol'nyi equations but by solutions to the Euler Lagrange ones. With a simple approximation scheme we reproduce the result of the numerical calculation.

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