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Phases of Josephson Junction Ladders

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.

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Colin Denniston, Chao Tang. 1995-07-06. Phases of Josephson Junction Ladders. https://doi.org/10.1103/physrevlett.75.3930

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