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Statistical interactions of vortices in superconducting films

Jacek Dziarmaga

DOI 10.1103/PhysRevB.53.8231 · Physical Review B

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Abstract

We consider type-II planar superconductors described by time-dependent nonlinear Schrödinger equation. The vortex core remains in a state which is not coherent with the superconducting condensate. The net deficit of the condensate in the core region is a convergent quantity. Under exchange of a pair of vortices the ground state wave function picks up a Berry phase proportional to the number of bound states inside vortex core.

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