Effect of quasiparticle tunneling on quantum-phase fluctuations and the onset of superconductivity in granular films

Sudip Chakravarty; Steven Kivelson; Gergely T. Zimanyi; Bertrand I. Halperin

doi:10.1103/PhysRevB.35.7256

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Effect of quasiparticle tunneling on quantum-phase fluctuations and the onset of superconductivity in granular films

Sudip Chakravarty, Steven Kivelson, Gergely T. Zimanyi, Bertrand I. Halperin

DOI 10.1103/PhysRevB.35.7256 · Physical Review B

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Abstract

Recent experiments on the onset of superconductivity in granular films have raised a number of interesting issues regarding the role of quantum fluctuations of the phase variable. We model the granular film as an ordered array of Josephson-coupled grains, and we take into account quasiparticle tunneling via the method of Ambegaokar, Eckern, and Schön. The onset of superconductivity, at T=0, occurs when the value of the normal-state sheet resistance has a critical value of order h/4e2, which is not very sensitive to the capacitance of the grains.