Thermal fluctuations in superconducting nanowires

Details Thermal fluctuations in superconducting nanowires Thermal fluctuations in superconducting nanowires

2008-06-18

arxiv.org/abs/0806.2959v1

Phys. Rev. B 78, 144502 (2008)

Physics

Condensed Matter

Superconductivity

8 pages

Scientific paper

10.1103/PhysRevB.78.144502

We re-analyze the problem of thermally activated phase slips (TAPS) which can dominate the behavior of sufficiently thin superconducting wires at temperatures close to $T_C$. With the aid of an effective action approach we evaluate the TAPS rate which turns out to exceed the rate found by D.E. McCumber and B.I. Halperin, Phys. Rev. B {\bf 1}, 1054 (1970) within the TDGL analysis by the factor $\sim (1-T/T_C)^{-1} \gg 1$. Additional differences in the results of these two approaches arise at bias currents close to the Ginzburg-Landau critical current where the TAPS rate becomes bigger. We also derive a simple formula for the voltage noise across the superconducting wire in terms of the TAPS rate. Our results can be verified in modern experiments with superconducting nanowires.

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