Self field of ac current reveals voltage-current law in type-II superconductors

TL;DR

This paper derives formulas for ac magnetic field distribution in thin superconducting strips with edge barriers, enabling extraction of voltage-current laws from magnetic measurements and explaining observed field profiles.

Contribution

It introduces a theoretical framework to relate ac magnetic field profiles to voltage-current characteristics in type-II superconductors, considering edge barriers.

Findings

Formulas for ac magnetic field distribution in superconducting strips.

Explanation of spatial and temperature dependence of magnetic field profiles.

Method to extract voltage-current laws from ac magnetic field measurements.

Abstract

The distribution of ac magnetic fields in a thin superconducting strip is calculated when an ac current is applied to the sample. The edge barrier of the strip to flux penetration and exit is taken into account. The obtained formulas provide a basis to extract voltage-current characteristics in the bulk and at the edges of superconductors from the measured ac magnetic fields. Based on these results, we explain the spatial and temperature dependences of the profiles of the ac magnetic field measured in a Bi2Sr2CaCu2O8 strip [D.T. Fuchs et al., Nature 91, 373 (1998)].