Quantum Fluctuations in the Equilibrium State of a Thin Superconducting Loop

Details Quantum Fluctuations in the Equilibrium State of a Thin Superconducting Loop Quantum Fluctuations in the Equilibrium State of a Thin Superconducting Loop

1996-11-12

arxiv.org/abs/cond-mat/9611094v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

16 pages RevTex, 2 figures available on request, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.55.6551

We study the oscillatory flux dependence of the supercurrent in a thin superconducting loop, closed by a Josephson junction. Quantum fluctuations of the order parameter in the loop affect the shape and renormalize the amplitude of the supercurrent oscillations. In a short loop, the amplitude of the sinusoidal flux dependence is suppressed. In a large loop, the supercurrent shows a saw-tooth dependence on flux in the classical limit. Quantum fluctuations not only suppress the amplitude of the oscillations, but also smear the cusps of the saw-tooth dependence. The oscillations approach a sinusoidal form with increasing fluctuation strength. At any finite length of the loop, the renormalized current amplitude is finite. This amplitude shows a power-law dependence on the junction conductance, with an exponent depending on the low-frequency impedance of the loop.

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