Phase diffusion and fractional Shapiro steps in superconducting quantum point contacts

Details Phase diffusion and fractional Shapiro steps in superconducting quantum point contacts Phase diffusion and fractional Shapiro steps in superconducting quantum point contacts

2004-11-25

arxiv.org/abs/cond-mat/0411635v1

Phys. Rev. B 71, 054510 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 11 figures, submitted to PRB

Scientific paper

10.1103/PhysRevB.71.054510

We study the influence of classical phase diffusion on the fractional Shapiro steps in resistively shunted superconducting quantum point contacts. The problem is mapped onto a Smoluchowski equation with a time dependent potential. A numerical solution for the probability density of the phase difference between the leads gives access to the mean current and the mean voltage across the contact. Analytical solutions are derived in some limiting cases. We find that the effect of temperature is stronger on fractional than on integer steps, in accordance with preliminary experimental findings. We further extend the analysis to a more general environment including two resistances and a finite capacitance.

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