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

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

2003-11-28

arxiv.org/abs/cond-mat/0311640v1

Highlights in Condensed Matter Physics, A. Avella, R. Citro, C. Noce and M. Salerno eds., AIP Conference Proceedings Vol. 695,

Physics

Condensed Matter

Superconductivity

Presented by F. P. Mancini at the Conference "Highlights in Condensed Matter Physics", May 9-11 2003, Salerno, Italy

Scientific paper

10.1063/1.1639587

We review the self-consistent mean-field theory for charge-frustrated Josephson junction arrays. Using (\phi 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 ( not equal to zero) and the insulating one ( = 0). For a uniform offset charge q=e the superconducting phase increases with respect to the situation in which q=0. Here, 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. For most of the phase diagram, our results agree with the outcomes of Quantum Monte Carlo simulations as well as with previous studies using the path-integral approach.

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