Theory of magnetically coupled type-II superconducting films

The current-voltage characteristics of a magnetically coupled pair of infinite type-II superconducting films of finite thickness, separated by an insulating layer, are calculated. The main features of the time-averaged primary and secondary flux-flow voltages ${\overline{V}}_{p}$ and ${\overline{V}}_{s}$ versus the primary and secondary currents ${I}_{p}$ and ${I}_{s}$ are found to depend upon only five parameters: the primary and secondary critical depinning currents ${I}_{\mathrm{pc}}$ and ${I}_{\mathrm{sc}}$ the primary and secondary flux-flow resistances ${R}_{p}$ and ${R}_{s}$, and a coupling current ${I}_{0}$, which is proportional to the maximum coupling force exerted on a secondary fluxoid by the displaced primary-fluxoid lattice. Model calculations of the current-voltage characteristics are performed to illustrate predicted behavior under varying strengths of current, pinning, and coupling.

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