Self-Consistent Mean-Field Theory for Frustrated Josephson Junction Arrays
arXiv:cond-mat/0311640 · doi:10.1063/1.1639587
Abstract
We review the self-consistent mean-field theory for charge-frustrated Josephson junction arrays. Using <cos(Ï)> (Ïis 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(Ï)> not equal to zero) and the insulating one (<cos(Ï)> = 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.
Presented by F. P. Mancini at the Conference "Highlights in Condensed Matter Physics", May 9-11 2003, Salerno, Italy