Vorticity and magnetic shielding in a type-II superconductor

Abstract

We study in detail, solving the Bogoliubov-de Gennes equations, the magnetic field, supercurrent and order parameter profiles originated by a solenoid or magnetic whisker inserted in a type-II superconductor. We consider solutions of different vorticities, n, in the various cases. The results confirm the connection between the vorticity, the internal currents and the boundstates in a self-consistent way. The number of boundstates is given by the vorticity of the phase of the gap function as in the case with no external solenoid. In the limiting case of an infinitely thin solenoid, like a Dirac string, the solution is qualitatively different. The quasiparticle spectrum and wave functions are a function of n-n_ext, where n_ext is the vorticity of the solenoid. The flux is in all cases determined by the vorticity of the gap function.

revised version, 25 pages, LaTex, 10 figures

References in corpus (5)

• Proximity effects in superconductor-ferromagnet heterostructures
• Ferromagnet-Superconductor Hybrids
• Manipulating spin and charge in magnetic semiconductors usingsuperconducting vortices
• Vorticity and vortex-core states
• The London Study of Vortex States in a Superconducting Film Due to a Magnetic Dot

Cited by in corpus (5)

• Depairing critical current achieved in superconducting thin films with through-thickness arrays of artificial pinning centers
• Single vortex structure in two models of iron pnictide $s^{\pm }$ superconductivity
• Magnetic impurities in a superconductor: Effect of domain walls and interference
• Confinement of monopole field lines in a superconductor at T=/=0
• Superconductor-ferromagnet nanocomposites created by co-deposition of niobium and dysprosium