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Self-Consistent Mean-Field Theory for Frustrated Josephson Junction Arrays

2003/01/01 by F. Mancini, F. P. Mancini, P. Sodano +1
Engineering · Physics and Astronomy · #Advanced Electrical Measurement Techniques #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.supr-con

paper · pdf · doi:10.1063/1.1639587

published as Highlights in Condensed Matter Physics, A. Avella, R. Citro, C. Noce and M. Salerno eds., AIP Conference Proceedings Vol. 695, pp. 164-175, AIP Press, New York (2003), ISBN 0-7354-0167-5 · Presented by F. P. Mancini at the Conference "Highlights in Condensed Matter Physics", May 9-11 2003, Salerno, Italy

openalex publication_date 2003/01/01 · arxiv created 2003/11/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We review the self‐consistent mean‐field theory for charge‐frustrated Josephson junction arrays. Using 〈cosφ〉 (φ is the phase of the superconducting wavefunction) as order parameter and imposing the self‐consistency condition, we compute the phase boundary line between the superconducting region (〈cosφ〉 ≠ 0) and the insulating one (〈cosφ〉 = 0). For a uniform offset charge q = e the superconducting phase increases with respect to the situation in which q = 0. We generalize the self‐consistent mean‐field theory to include the effects induced by a random distribution of offset charges and/or of diagonal self‐capacitances. We find results in agreement with the ones obtained in studies using the path‐integral approach.

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