Self-dual Ginzburg-Landau vortices in a disk

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.

8 pages, 4 figures, RevTex macros

References in corpus (3)

• Vortex Matter in Mesoscopic Superconducting Disks and Rings
• A dual point description of mesoscopic superconductors
• Vortices in small superconducting disks

Cited by in corpus (1)

• A note on the existence of soliton solutions in the Chern-Simons-CP(1) model