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Self-dual Ginzburg-Landau vortices in a disk

G. S. Lozano·M. V. Manias·E. F. Moreno
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Abstract

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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G. S. Lozano, M. V. Manias, E. F. Moreno. 2000-05-11. Self-dual Ginzburg-Landau vortices in a disk. https://doi.org/10.1088/0305-4470%2F34%2F28%2F308

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