Flux creep in inhomogeneous superconductors

A. V. Okomel’kov; G. M. Genkin

doi:10.1103/PhysRevB.52.9697

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Flux creep in inhomogeneous superconductors

A. V. Okomel’kov, G. M. Genkin

DOI 10.1103/PhysRevB.52.9697 · Physical Review B

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Abstract

We suggest a theoretical model of the flux creep in inhomogeneous superconductors taking into consideration the interaction between magnetic vortices. The flux lines’ interaction results in changes of the pinning potential. The pinning potential begins to depend on this interaction, which results in an additional term in the average flux of vortices (or in the diffusion coefficient). This results in additional terms in the diffusion equation for the vortices. Using a microscopic model, we have found the nonlinear equation to describe the flux lines’ density variations in these conditions. Using the relevant empirical parametrization for the height of the potential barriers we have found the numerical solutions of the diffusion equation in a one-dimensional superconductor. The flux diffusion is shown to be enhanced when the intervortex interaction is significant.