Collective transport in the insulating state of Josephson junction arrays

Abstract

We investigate collective Cooper-pair transport of one- and two-dimensional Josephson junction arrays in the insulating state. We derive an analytical expression for the current-voltage characteristic revealing thermally activated conductivity at small voltages and threshold voltage depinning. The activation energy and the related depinning voltage represent a dynamic Coulomb barrier for collective charge transfer over the whole system and scale with the system size. We show that both quantities are non-monotonic functions of magnetic field. We propose that formation of the dynamic Coulomb barrier as well as the size scaling of the activation energy and the depinning threshold voltage, are consequences of the mutual phase synchronization. We apply the results for interpretation of experimental data in disordered films near the superconductor-insulator transition.

4 pages, 2 figures; typos corrected, new figures, an improved fit to experimental data

References in corpus (2)

• Localized Superconductivity in the Quantum-Critical Region of the Disorder-Driven Superconductor-Insulator Transition in TiN Thin Films
• Insulating state of granular superconductors in a strong-coupling regime

Cited by in corpus (13)

• Disorder-Induced Inhomogeneities of the Superconducting State Close to the Superconductor-Insulator Transition
• Jumps in current-voltage characteristics in disordered films
• Tunneling studies in a homogeneously disordered s-wave superconductor: NbN
• Hyperactivated resistance in TiN films on the insulating side of the disorder-driven superconductor-insulator transition
• Quantum magnetic monopole condensate
• The superconductor-insulator transition in absence of disorder
• Instanton Glass Generated by Noise in a Josephson-Junction Array
• Electron-Phonon Decoupling in Two Dimensions
• Highly-enhanced propagation of long-range kinks in heterogeneous media
• Gate-tunable electron interaction in high-κ dielectric films
• Cooper Pair Insulator phase induced in amorphous Pb${}_0.9$Bi${}_0.1$ thin films
• Crossover From Cooper-Pair Hopping to Single-Electron Hopping in Pb${}_x$(TiO${}_2$)${}_{1-x}$ Granular Films
• Analytical Description of the Quantum-Mesoscopic-Classical Transition in Systems with Quasi-Discrete Environment