Simultaneous Bloch and Josephson Oscillations, and Resistance Quantizations in Small Superconducting Double Junctions

Abstract

A structure comprising three superconducting electrodes separated with two small Josephson junctions has been analyzed. It has been assumed that a dc voltage ⊽ is applied to the external electrodes of the structure, and a dc current ī is fed to its middle electrode. The analysis has proved that the supercurrent flowing through the structure should oscillate simultaneously with the Josephson frequency fJ=2e⊽/h and the Bloch frequency fB=ī/2e. Mutual phase locking of these oscillations leads to quantization the ratio R=⊽/ī in units RQ=h/(2e)2. © 1987 The Japan Society of Applied Physics.