Surface Effects in Superconductors with Corners
arXiv:2003.00521 · doi:10.1007/s40574-020-00236-7
Abstract
We review some recent results on the phenomenon of surface superconductivity in the framework of Ginzburg-Landau theory for extreme type-II materials. In particular, we focus on the response of the superconductor to a strong longitudinal magnetic field in the regime where superconductivity survives only along the boundary of the wire. We derive the energy and density asymptotics for samples with smooth cross section, up to curvature-dependent terms. Furthermore, we discuss the corrections in presence of corners at the boundary of the sample.
arXiv commentProceeding for XXI Congresso UMI 2019, final version, Boll. Unione Mat. Ital. to appear, 17 pages, pdfLaTeX
References in corpus (20)
- Little Magnetic Book
- The Transition to a Giant Vortex Phase in a Fast Rotating Bose-Einstein Condensate
- Energy and Vorticity in Fast Rotating Bose-Einstein Condensates
- Phase transition curves for mesoscopic superconducting samples
- Rotating superfluids in anharmonic traps: From vortex lattices to giant vortices
- Rapidly Rotating Bose-Einstein Condensates in Strongly Anharmonic Traps
- On the third critical field in Ginzburg-Landau theory
- Superconductivity in domains with corners
- Critical Rotational Speeds for Superfluids in Homogeneous Traps
- Boundary Behavior of the Ginzburg-Landau Order Parameter in the Surface Superconductivity Regime
- Critical Rotational Speeds in the Gross-Pitaevskii Theory on a Disc with Dirichlet Boundary Conditions
- Rapidly Rotating Bose-Einstein Condensates in Homogeneous Traps
- Surface Superconductivity in Presence of Corners
- Inhomogeneous Vortex Patterns in Rotating Bose-Einstein Condensates
- The breakdown of superconductivity in the presence of magnetic steps
- Effects of boundary curvature on surface superconductivity
- The density of superconductivity in domains with corners
- Universal and shape dependent features of surface superconductivity
- On the Third Critical Speed for Rotating Bose-Einstein Condensates
- Concentration Behavior and Lattice Structure of Surface Superconductivity