Phases of Josephson Junction Ladders

Details Phases of Josephson Junction Ladders Phases of Josephson Junction Ladders

1995-07-06

arxiv.org/abs/cond-mat/9507015v1

Phys. Rev. Lett. 75 (1995) 3930

Physics

Condensed Matter

12 pages with 3 figures, REVTEX

Scientific paper

10.1103/PhysRevLett.75.3930

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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