Charge imbalance and Josephson effects in superconductor–normal metal mesoscopic structures
A. F. Volkov
DOI 10.1103/PhysRevB.76.174502 · Physical Review B
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Abstract
We consider a SBS Josephson junction the superconducting electrodes S of which are in contact with normal metal reservoirs (B means a barrier). For temperatures near Tc we calculate an effective critical current Ic* and the resistance of the system at the currents I<Ic* and I⪢Ic*. It is found that the charge imbalance, which arises due to injection of quasiparticles from the N reservoirs into the S wire, affects essentially the characteristics of the structure. The effective critical current Ic* is always larger than the critical current Ic in the absence of the normal reservoirs and increases with decreasing the ratio of the length of the S wire 2L to the charge imbalance relaxation length lQ. It is shown that a series of peaks arises on the I−V characteristics due to excitation of the Carlson-Goldman collective modes. We find the position of Shapiro steps which deviates from that given by the Josephson relation.
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