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

F. P. Mancini·P. Sodano·A. Trombettoni
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Abstract

We review the self-consistent mean-field theory for charge-frustrated Josephson junction arrays. Using (ϕis 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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F. P. Mancini, P. Sodano, A. Trombettoni. 2003-11-28. Self-Consistent Mean-Field Theory for Frustrated Josephson Junction Arrays. https://doi.org/10.1063/1.1639587

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