Three-dimensional Josephson-junction arrays in the quantum regime

Details Three-dimensional Josephson-junction arrays in the quantum regime Three-dimensional Josephson-junction arrays in the quantum regime

1999-10-14

arxiv.org/abs/cond-mat/9910222v1

Physical Review Letters Vol. 84, N4, 749 (2000)

Physics

Condensed Matter

Superconductivity

9 pages, LATEX, three PostScript figures. Submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.84.749

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 E_2, 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.

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