Abstract
Using analytic and numerical techniques Nielsen-Olesen vortices, which in the context of Ginzburg-Landau theory are known as Abrikosov vortices of type-II superconductors, are studied for large Ginzburg-Landau parameter . We show that their energy is equal to to leading order, where is the winding number of the vortex, and find that the limit of the gauge field can be expressed in terms of the modified Bessel function . The leading terms of the asymptotic expansion of the solution are given, and the different contributions to the energy are analyzed.
- Received 15 October 2010
DOI:https://doi.org/10.1103/PhysRevD.82.125033
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