Josephson Effect in a Superconducting Ring
It was pointed out in a preceding letter1 that the Josephson effect2,3 can be interpreted as the direct consequence of general principles if one considers the geometry of a superconducting ring interrupted by a barrier. In close analogy to the earlier explanation4 of quantized flux trapping, the periodic dependence of the current upon the flux through the ring was found sufficient to account for the essential features of the effect. The considerations were restricted to the simplest case where the flux through the ring has a single well-defined value. This situation is encountered if the ring is sufficiently thin to neglect the variation of the flux caused by penetration of the magnetic field into the material or, equivalently, if the shielding by the supercurrent is sufficient to prevent any appreciable penetration. It was shown in particular that one obtains in this case the Josephson relation between voltage and frequency of the current.
KeywordsFree Energy Gauge Transformation Stable Equilibrium Transmission Coefficient Total Flux
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- 2.B. D. Josephson, Phys. Rev. Letters 1, 251 (1962); Rev. Mod. Phys. 36, 216 (1964).Google Scholar
- 17.H. E. Rorschach and J. T. Carter (unpublished). The analogy of a pendulum has been previously noted by P. W. Anderson, in Lectures on the Many-Body Problem, Ravello, 1963, edited by E. R. Caianello (Academic, New York, 1964), Vol 2, p. 126.Google Scholar