1999/10/14 by T. K. Kopec, T. K. Kopeć, Jorge V. José +1
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Euclidean geometry #Generalization #Geometry #Josephson effect #Mathematical analysis #Mathematics #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Pi Josephson junction #Quantum #Quantum and electron transport phenomena #Quantum critical point #Quantum mechanics #Quantum phase transition #Quantum phases #Scaling #Superconductivity #cond-mat.mes-hall #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevlett.84.749
published as Physical Review Letters Vol. 84, N4, 749 (2000) · 9 pages, LATEX, three PostScript figures. Submitted to Phys. Rev. Lett
arxiv created 1999/10/14 · openalex publication_date 2000/01/24 · arxiv updated 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the quantum phase transition properties of a three-dimensional periodic array of Josephson junctions with charging energy that includes both the self and mutual junction capacitances. We use the phase fluctuation algebra between number and phase operators, given by the Euclidean group E2, and we effectively map the problem onto a solvable quantum generalization of the spherical model. We obtain a phase diagram as a function of temperature, Josephson coupling, and charging energy. We also analyze the corresponding fluctuation conductivity and its universal scaling form in the vicinity of the zero-temperature quantum critical point.