Josephson effect in presence of phase fluctuations

G.-L. Ingold and H. Grabert

in: Quantum physics at mesoscopic scale, ed. by C. Glattli, M. Sanquer, and J. Trân Thanh Vân, pp. 351–355 (EDP Sciences, 2000)

Thermal or quantum mechanical phase fluctuations suppress the supercurrent across a Josephson junction at zero voltage. Instead one finds a peak in the Cooper pair current at small but finite voltages. We analyze this peak and show how parts of the current-voltage characteristics relate to known phenomena such as classical phase diffusion, Coulomb blockade, and macroscopic quantum tunneling.