Commensurability in One Dimension and the Josephson Junction Ladder
نویسندگان
چکیده
We study a Josephson junction ladder in a magnetic field in the absence of charging effects via a transfer matrix formalism. The eigenvalues of the transfer matrix are found numerically, giving a determination of the different phases of the ladder. The spatial periodicity of the ground state exhibits a devil’s staircase as a function of the magnetic flux filling factor f . If the transverse Josephson coupling is varied a continuous superconducting-normal transition in the transverse direction is observed, analogous to the breakdown of the KAM trajectories in dynamical systems. We also examine how these properties may be affected by a current injected along the ladder. 74.50.+r, 05.20.-y, 64.70.Rh Typeset using REVTEX 1
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