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Dynamics of flat superconductors in a perpendicular magnetic field

Ernst Helmut Brandt

DOI 10.1103/PhysRevLett.71.2821 · Physical Review Letters

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Abstract

The theory of flux-line motion and ac response of a thin superconducting strip or circular disk in perpendicular time-dependent magnetic field is given. Flux dynamics in general is governed by a complex nonlinear sheet resistivity ρ/d (d is the thickness). In contrast to longitudinal fields, perpendicular field changes do not obey a diffusion equation but an integral equation with singular kernel. Screening currents immediately penetrate to the strip center and at times t≫τ0 decay as exp(-t/τ0) with τ0=0.249adμ0/ρ (2a is the strip width). Maximum ac losses occur at ωτ0=1.11.

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