Phase Locking, Devil's Staircases, Farey Trees, and Arnold Tongues in Driven Vortex Lattices with Periodic Pinning

C. Reichhardt and Franco Nori
Phys. Rev. Lett. 82, 414 – Published 11 January 1999
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Abstract

Using numerical simulations, we observe phase locking, Arnold tongues, and devil's staircases for vortex lattices driven at varying angles with respect to an underlying superconducting periodic pinning array. This rich structure should be observable in transport measurements. The transverse V(I) curves have a devil's staircase structure, with plateaus occurring near the driving angles along symmetry directions of the pinning array. Each of the plateaus corresponds to a different dynamical phase with a distinctive vortex structure and flow pattern.

  • Received 4 September 1998

DOI:https://doi.org/10.1103/PhysRevLett.82.414

©1999 American Physical Society

Authors & Affiliations

C. Reichhardt and Franco Nori

  • Department of Physics, The University of Michigan, Ann Arbor, Michigan 48109-1120

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Vol. 82, Iss. 2 — 11 January 1999

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