Magnetic flux penetration into superconductor in vortex-liquid and vortex-glass regimes

Abstract

Magnetic flux penetration into a half-space occupied by a type-II superconductor occurring in a vor- tex-liquid or vortex-glass state is considered under the assumption that magnetic field exhibits a sharp increase with time (in the blow-up regime) at the interface. It is shown that each phase admits effective localization of magnetic flux in the form of a magnetic wave front, which is stopped at a depth of x s ∝ e - σ σ in a vortex-liquid regime and at x s ∝ (2 σ ) 1/( σ + 2) in a vortex-glass regime. Here, the parameter σ = U 0 / T depends on the thermal activation barrier height U 0 and on the temperature T in the vicinity of the melting curve T m ( B ) at a given mag- netic field induction B. © 2005 Pleiades Publishing, Inc.