English

Phases of Josephson Junction Ladders

Condensed Matter 2009-10-28 v1

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 ff. 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.

Keywords

Cite

@article{arxiv.cond-mat/9507015,
  title  = {Phases of Josephson Junction Ladders},
  author = {Colin Denniston and Chao Tang},
  journal= {arXiv preprint arXiv:cond-mat/9507015},
  year   = {2009}
}

Comments

12 pages with 3 figures, REVTEX

R2 v1 2026-07-22T11:50:08.861Z