Physics – Condensed Matter – Superconductivity
Scientific paper
1997-10-21
Phys. Rev. B 57, 1181-1199 (1998)
Physics
Condensed Matter
Superconductivity
RevTeX, 22 pages, 17 figures included; Errata added, 1 page, 1 corrected figure
Scientific paper
10.1103/PhysRevB.57.1181
We present analytical and numerical studies of pinned superconducting states of open-ended Josephson ladder arrays, neglecting inductances but taking edge effects into account. Treating the edge effects perturbatively, we find analytical approximations for three of these superconducting states -- the no-vortex, fully-frustrated and single-vortex states -- as functions of the dc bias current $I$ and the frustration $f$. Bifurcation theory is used to derive formulas for the depinning currents and critical frustrations at which the superconducting states disappear or lose dynamical stability as $I$ and $f$ are varied. These results are combined to yield a zero-temperature stability diagram of the system with respect to $I$ and $f$. To highlight the effects of the edges, we compare this dynamical stability diagram to the thermodynamic phase diagram for the infinite system where edges have been neglected. We briefly indicate how to extend our methods to include self-inductances.
Barahona Mauricio
Orlando Terry P.
Strogatz Steven H.
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