Size effects in the nonlinear resistance and flux creep in a virtual Berezinskii-Kosterlitz-Thouless state of superconducting films

Abstract

We show that the size effects radically affect the electric field-current ($E-I$) relation of superconducting films. We calculate $E(J)$ due to thermally-activated hopping of single vortices driven by current $I$ across the film in a magnetic field $H$, taking into account interaction of free vortices with their antivortex images and peaks in the Meissner currents at the film edges. Unbinding of virtual vortex-antivortex pairs not only mimics the transport uniform BKT behavior, it can dominate the observed $E(J)$ and result in the field-dependent ohmic resistance at small $I$. We show that $E(I)$ can be tuned by changing the film geometry and propose experimental tests of this theory.

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Cited by in corpus (16)

• Vortex-induced dissipation in narrow current-biased thin-film superconducting strips
• Broadening of the Beresinkii-Kosterlitz-Thouless superconducting transition by inhomogeneity and finite-size effects
• Vortex-assisted photon counts and their magnetic field dependence in single-photon detectors
• Josephson-like behavior in YBa${}_2$Cu${}_3$O${}_{7-\delta }$ nano-bridges carrying the depairing current
• Effective 2D thickness for the Berezinskii-Kosterlitz-Thouless-like transition in a highly underdoped La${}_{2-x}$Sr${}_x$CuO${}_4$
• Universal Response Curve for Nanowire Superconducting Single-Photon Detectors
• Evolution of superconducting correlations within magnetic-field-decoupled CuO(2) layers of La(1.905)Ba(0.095)CuO(4)
• Comment on: "Vortex-assisted photon count and their magnetic field dependence in single-photon superconducting detectors" by L.N. Bulaevskii, M.J. Graf and V.G. Kogan, Phys. Rev. B 85, 014505 (2012)
• Interface-Driven Two-Dimensional Superconductivity in Bilayers of BaBiO${}_3$ and BaPbO${}_3$
• Tuning vortex fluctuations and the resistive transition in superconducting films with a thin overlayer
• Scaling, Finite Size Effects, and Crossovers of the Resistivity and Current-Voltage Characteristics in Two-Dimensional Superconductors
• Thermally-activated dynamics of spontaneous perpendicular vortices tuned by parallel magnetic fields in thin superconducting films
• Reply to [arXiv:1201.5347] "Comment on 'Vortex-assisted photon counts and their magnetic field dependence in single-photon superconducting detectors'"
• Vortex dynamics induced by scanning SQUID susceptometry
• Transport properties of clean and disordered Josephson junction arrays
• Frequency dispersion of nonlinear response of thin superconducting films in Berezinskii-Kosterlitz-Thouless state