Abstract
Electromagnetic and superconducting properties are considered in superconducting films separated by thin oxide interlayers (the so-called superconductive lattices with microstructure). Using the planar X-Y model for superconductive lattices and taking account of dissipative effects of superconductive layers, we obtain a decomposition of current singularities in the dc current-voltage characteristics. Analytical functions are obtained, and an analysis is made of the hyperfine decomposition structure of current peaks in accordance with the numbern of layers and also in accordance with the determinedω 0,ω 1,ω 2, the eigenmodes which are determined by two-dimensional Josephson resonators. A complex spectrum of current peaks in the dc current-voltage characteristics is shown in our analysis. The growth of the numberm 1 of satellites from the principal peak with increase of the numbern of layers is observed. For some large numbern=n * of layers there is a tendency to an asymptotic saturation of the total number of satellites. In particular, the phenomenon of single peaks is observed for some intermediate numbern=n k of layers. In this case we have an intermediate layer, which shows the character of a one-dimensional long Josephson line. In the general case we can change parameters (n,ω 0,ω 1ω2) to get various properties in the dc current-voltage characteristics. Hysteresis is obtained for some values of the parameters. The characteristics defined through the exact solutions of the “non-Josephson” generation of the fluxon lattice,I n =I n (〈V〉), are presented.
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Grishin, V.E., Pinsky, M.A. Exact solution approach in analysis of resonance properties of two-dimensional dissipative superconductive Josephson lattice. J Supercond 8, 247–258 (1995). https://doi.org/10.1007/BF00732378
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DOI: https://doi.org/10.1007/BF00732378