Fiske steps in annular Josephson junctions with trapped flux quanta

C. Nappi; R. Cristiano; M. P. Lisitskii

doi:10.1103/PhysRevB.58.11685

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Fiske steps in annular Josephson junctions with trapped flux quanta

C. Nappi, R. Cristiano, M. P. Lisitskii

DOI 10.1103/PhysRevB.58.11685 · Physical Review B

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Abstract

The position and amplitude of self-resonances (Fiske steps) of an annular Josephson junction with magnetic flux trapped in one of two electrodes have been calculated using a first-order perturbation method. The external magnetic field is supposed to be zero such that the only magnetic field to be considered is that provided by the flux quanta trapped in the junction annular electrodes during the cooling transition. Our analysis is carried out for the two-dimensional case so that the finite width of the ring tunnel barrier is taken into account. We find that in such a structure, although a two-dimensional one, a simply infinite series of modes is excited. We discuss the dependence of the amplitude and the position of the resonances on the ratio of the inner to outer radius of the junction, and we show that only the first Fiske step has a significant amplitude. The agreement between the predictions of the theory and the existing experimental data is very good.