vix.ing · top · new · best · stats · spec

Commensurability in One Dimension and the Josephson Junction Ladder

1997/11/06 by Colin Denniston, Chao Tang, Denniston, Colin +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.stat-mech #cond-mat.supr-con

paper · pdf · doi:10.48550/arxiv.cond-mat/9711049

22 pages, 10 eps figures, REVTEX, better version of Fig. 9 (3 Mb) available from [email protected]

arxiv created 1997/11/06 · arxiv updated 2009/11/30

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.

Related