Self-Consistent Mean-Field Theory for Frustrated Josephson Junction Arrays
Abstract
We review the self-consistent mean-field theory for charge-frustrated Josephson junction arrays. Using <cos(\phi)> (\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 (<cos(\phi)> not equal to zero) and the insulating one (<cos(\phi)> = 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.
Cite
@article{arxiv.cond-mat/0311640,
title = {Self-Consistent Mean-Field Theory for Frustrated Josephson Junction Arrays},
author = {F. P. Mancini and P. Sodano and A. Trombettoni},
journal= {arXiv preprint arXiv:cond-mat/0311640},
year = {2007}
}
Comments
Presented by F. P. Mancini at the Conference "Highlights in Condensed Matter Physics", May 9-11 2003, Salerno, Italy