Physics – Condensed Matter – Superconductivity
Scientific paper
2007-09-12
Phys. Rev. B 77, 014505 (2008)
Physics
Condensed Matter
Superconductivity
14 pages, 1 figure; published in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.77.014505
We consider tunneling of vortices across a superconducting film that is both narrow and short (and connected to bulk superconducting leads at the ends). We find that in the superconducting state the resistance, at low values of the temperature (T) and current, does not follow the power-law dependence on T characteristic of longer samples but is exponential in 1/T. The coefficient of 1/T in the exponent depends on the length or, equivalently, the total normal-state resistance of the sample. These conclusions persist in the one-dimensional limit, which is similar to the problem of quantum phase slips in an ultra-narrow short wire.
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