Theory of superconductor with kappa close to 1/sqrt{2}

Abstract

As was firstly shown by E. Bogomolny, the critical Ginzburg-Landay (GL) parameter kappa =1/sqrt{2} at which a superconductor changes its behavior from type-I to type-II, is the special highly degenerate point where Abrikosov vortices do not interact and therefore all vortex states have the same energy. Developing a secular perturbation theory we studied how this degeneracy is lifted when kappa is slightly different from 1\sqrt{2} or when the GL theory is extended to the higher in T-Tc terms. We constructed a simple secular functional, that depends only on few experimentally measurable phenomenological parameters and therefore is quite efficient to study the vortex state of superconductor in this transitional region of kappa. Basing on this, we calculated such vortex state properties as: critical fields, energy of the normal-superconductor interface, energy of the vortex lattice, vortex interaction energy etc. and compared them with previous results that were based on bulky solutions of GL equations.

Revtex, 14 pages, 4 postscript pictures embedded in the text

References in corpus (2)

• A dual point description of mesoscopic superconductors
• Vortices in small superconducting disks

Cited by in corpus (24)

• Semi-Meissner state and neither type-I nor type-II superconductivity in multicomponent systems
• Two-band superconductors: Extended Ginzburg-Landau formalism by a systematic expansion in small deviation from the critical temperature
• Flux tubes and the type-I/type-II transition in a superconductor coupled to a superfluid
• Giant vortices, vortex rings and reentrant behavior in type-1.5 superconductors
• Giant paramagnetic Meissner effect in multiband superconductors
• Thermodynamics and magnetic field profiles in low-kappa type-II superconductors
• Vortex Interactions and Thermally Induced Crossover from Type-I to Type-II Superconductivity
• Interaction of vortices in superconductors with kappa close to 2^(-1/2)
• Universal behavior of the IMS domain formation in superconducting niobium
• The BCS-BEC crossover induced by a shallow band: Pushing standard superconductivity types apart
• Electrodynamics of Fulde-Ferrell-Larkin-Ovchinnikov superconducting state
• Current-induced self-organisation of mixed superconducting states
• The intermediate type-I superconductors in the mesoscopic scale
• $H$-$T$ Phase Diagram of Multi-component Superconductors with Frustrated Inter-component Couplings
• Equilibrium intermediate-state patterns in a type-I superconducting slab in an arbitrarily oriented applied magnetic field
• The ground states of the two-component order parameter superconductor
• Anisotropic criteria for the type of superconductivity
• Identification of multiple-flux-quanta vortices by core states in the two-band superconductor Pb
• Spontaneous Pattern Formation in Intertype Superconducting Films
• Anisotropic superconductivity in ZrB${}_{12}$ near critical Bogomolnyi point
• Anisotropic Superconductors Between Types I and II
• Doubly Quantized Vortices in Bulk Ginzburg-Landau Superconductors
• Simple Vortex States in Films of Type-I Ginzburg-Landau Superconductor
• The absence of superconductivity in the next-to-leading order Ginzburg-Landau functional for Bardeen-Cooper-Schrieffer superconductor