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Helicity modulus, quantum fluctuations, and superconducting transition in a Josephson junction, array

  • Metals. Superconductors
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Abstract

The effect of quantum fluctuations on a phase transition in a two-dimensional Josephson junction array is studied in terms of the two-dimensional XY model. A self-consistent harmonic approximation is used to calculate the linear response of the system to a perturbation by a uniform phase gradient (helicity modulus γ) as a function of dimensionless temperature Θ and of a quantum parameter q appearing due to the finite capacitance of each junction. Calculation of this quantity has permitted us to find the dependence of the Kosterlitz-Thouless transition temperature on q, which within a broad range of q variation is in agreement with the results of a quantum Monte Carlo simulation.

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Authors and Affiliations

  1. Institute of Spectroscopy, Russian Academy of Sciences, 142092, Troitsl, Moscow Region, Russia

    S. A. Verzakov & Yu. E. Lozovik

Authors
  1. S. A. Verzakov
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  2. Yu. E. Lozovik
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Fiz. Tverd. Tela (St. Petersburg) 39, 818–822 (May 1997)

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Verzakov, S.A., Lozovik, Y.E. Helicity modulus, quantum fluctuations, and superconducting transition in a Josephson junction, array. Phys. Solid State 39, 724–728 (1997). https://doi.org/10.1134/1.1129958

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  • DOI: https://doi.org/10.1134/1.1129958

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