1996/11/12 by F. W. J. Hekking, L. I. Glazman · 58 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Loop (graph theory) #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Quantum, superfluid, helium dynamics #Superconductivity #Thermodynamic equilibrium #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.55.6551
published in Physical review. B, Condensed matter 55(10), 6551-6558 (American Physical Society) · 16 pages RevTex, 2 figures available on request, to appear in Phys. Rev. B
arxiv created 1996/11/12 · openalex publication_date 1997/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 sawtooth dependence on flux in the classical limit. Quantum fluctuations not only suppress the amplitude of the oscillations, but also smear the cusps of the sawtooth 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.