Commensurability in One Dimension and the Josephson Junction Ladder

Colin Denniston; Chao Tang

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arXiv · cond-mat/9711049

Commensurability in One Dimension and the Josephson Junction Ladder

Colin Denniston·Chao Tang

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Abstract

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.

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Colin Denniston, Chao Tang. 1997-11-06. Commensurability in One Dimension and the Josephson Junction Ladder. https://arxiv.org/abs/cond-mat/9711049

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