Phenomenological Model of the Nonlinear Microwave Response of a Superconductor Containing Weak Links
Abstract
A phenomenological model is proposed which describes the effect of both dc and rf magnetic fields, H, on the microwave surface impedance, Zs=Rs+jXs, of a superconductor containing weak link. Two cases are considered; a weak link between two grains, shunted by another grain, and a non-shunted weak link. In both cases the dependences of Rs and Xs on applied field H were found to be anomalous. Under certain conditions, the values of Zs(H) can fall below the zero-field values. Comparison with experiment is performed, and very good qualitative and (in some cases) quantitative agreement is found.
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