"Unusual" critical states in type-II superconductors

Abstract

We give a theoretical description of the general critical states in which the critical currents in type-II superconductors are not perpendicular to the local magnetic induction. Such states frequently occur in real situations, e.g., when the sample shape is not sufficiently symmetric or the direction of the external magnetic field changes in some complex way. Our study is restricted to the states in which flux-line cutting does not occur. The properties of such general critical states can essentially differ from the well-known properties of the usual Bean critical states. To illustrate our approach, we analyze several examples. In particular, we consider the critical states in a slab placed in a uniform perpendicular magnetic field and to which two components of the in-plane magnetic field are then applied successively. We also analyze the critical states in a long thin strip placed in a perpendicular magnetic field which then is tilted towards the axis of the strip.

15 pages including 11 figures

References in corpus (13)

• The Flux-Line Lattice in Superconductors
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Cited by in corpus (11)

• General critical states in type-II superconductors
• Numerical simulation of the magnetization of high-temperature superconductors: 3D finite element method using a single time-step iteration
• Theory and experiment testing flux-line-cutting physics
• Simulation of the current dynamics in superconductors: Application to magnetometry measurements
• Smooth double critical state theory for type-II superconductors
• 3D modelling of macroscopic force-free effects in superconducting thin films and rectangular prisms
• Material laws and related uncommon phenomena in the electromagnetic response of type-II superconductors in longitudinal geometry
• Nanomechanics of an individual vortex in an anisotropic type-II superconductor
• Flux-cutting and flux-transport effects in type-II superconductor slabs in a parallel rotating magnetic field
• Anisotropic critical-state model of type-II superconducting slabs
• Longitudinal magnetic field increases critical current in superconducting strip