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A Superconductor-Insulator Transition in a One-Dimensional Array of Josephson Junctions

A Superconductor-Insulator Transition in a One-Dimensional Array of Josephson Junctions We consider a one-dimensional Josephson junction array, in the regime where the junction charging energy is much greater than the charging energy of the superconducting islands. In this regime we critically reexamine the continuum limit description and establish the relationship between parameters of the array and the ones of the resulting sine-Gordon model. The later model is formulated in terms of quasi-charge. We argue that despite arguments to the contrary in the literature, such quasi-charge sine-Gordon description remains valid in the vicinity of the phase transition between the insulating and the superconducting phases. We also discuss the effects of random background charges, which are always present in experimental realizations of such arrays. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Low Temperature Physics Springer Journals

A Superconductor-Insulator Transition in a One-Dimensional Array of Josephson Junctions

Journal of Low Temperature Physics , Volume 135 (4) – Sep 29, 2004

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References (16)

Publisher
Springer Journals
Copyright
Copyright © 2004 by Plenum Publishing Corporation
Subject
Physics; Condensed Matter Physics; Characterization and Evaluation of Materials; Magnetism, Magnetic Materials
ISSN
0022-2291
eISSN
1573-7357
DOI
10.1023/B:JOLT.0000024551.89513.f8
Publisher site
See Article on Publisher Site

Abstract

We consider a one-dimensional Josephson junction array, in the regime where the junction charging energy is much greater than the charging energy of the superconducting islands. In this regime we critically reexamine the continuum limit description and establish the relationship between parameters of the array and the ones of the resulting sine-Gordon model. The later model is formulated in terms of quasi-charge. We argue that despite arguments to the contrary in the literature, such quasi-charge sine-Gordon description remains valid in the vicinity of the phase transition between the insulating and the superconducting phases. We also discuss the effects of random background charges, which are always present in experimental realizations of such arrays.

Journal

Journal of Low Temperature PhysicsSpringer Journals

Published: Sep 29, 2004

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