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Bogomol’nyi limit for magnetic vortices in a rotating superconductor

1999/10/18 by Brandon Carter, David Langlois, Reinhard Prix +1
Materials Science · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary value problem #Classical mechanics #Compressibility #Condensed matter physics #Geometry #Limit (mathematics) #Magnetic field #Magnetism in coordination complexes #Mathematical analysis #Mathematics #Mechanics #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Rotation (mathematics) #Superconductivity #Type-II superconductor #Vortex #astro-ph #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.62.9748

published as Phys.Rev. B 62, 9748 (2000) · 7 pages, uses RevTeX, submitted to Phys.Rev.B

arxiv created 1999/10/18 · openalex publication_date 2000/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations