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Bogomol’nyi limit for magnetic vortices in a rotating superconductor

Brandon Carter, David Langlois, Reinhard Prix

DOI 10.1103/PhysRevB.62.9748 · Physical Review B

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Abstract

This work is the sequel to a previous investigation of stationary and cylindrically symmetric vortex configurations for simple models representing an incompressible nonrelativistic superconductor in a rigidly rotating background. In the present paper, we carry out our analysis with a generalized Ginzburg-Landau description of the superconductor, which provides a prescription for the radial profile of the normal density within the vortex. Within this framework, it is shown that the Bogomol’nyi limit condition marking the boundary between type I and type II behavior is unaffected by the rotation of the background.

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