Abstract
The boson method in superconductivity, developed in previous articles, is extended and applied to the problem of vortices in neutral and type-II superconductors. In the approximation considered, the distributions of current and magnetic field of a single vortex are given in the whole domain, up to the center of the flux line. Expressions for the vortex self-energy and the interaction energy between two vortices are also derived. In the limiting case in which $\ensuremath{\kappa}\ensuremath{\gg}1$ (where $\ensuremath{\kappa}$ is the Ginzburg-Landau parameter) and the structure of the core is approximated by a $\ensuremath{\delta}$ function, our results agree with those of Abrikosov's theory, based on the Ginzburg-Landau equations.
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