Fiske resonances in mesoscopic “0-π” grain boundary junctions

A theory describing Fiske resonance steps in high-temperature “d-wave” superconductive Josephson junctions has been developed. The model is an extension of the theory proposed by Kulik in 1965, which applies in the case of conventional low-temperature junctions (“s-wave” superconductors). The theory allows to derive the magnetic field dependences of the n-th order Fiske step, also in the presence of “0-π” singularities in the junction phase difference. An analysis of Fiske steps in asymmetric 0-45° [0 0 1] “d-wave” Josephson junctions has been presented. Finally, in order to describe the phenomenology encountered in real grain boundary junctions, the presence of facets of different orientations and lengths has also been considered.