Phenomenological Model of the Nonlinear Microwave Response of a Superconductor Containing Weak Links
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A phenomenological model is proposed which describes the effect of both dc and rf magnetic fields, $H$, on the microwave surface impedance, Z_s=R_s+jX_s, 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 R_s and X_s on applied field H were found to be anomalous. Under certain conditions, the values of Z_s(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.
7 pages, 4 figures (figures embedded into the text). Third Edition. Text is revised and extended. Figures are the same. Unpublished
7 pages, 4 figures (figures embedded into the text). Third Edition. Text is revised and extended. Figures are the same. Unpublished