corner
corner

Phys. Rev. Lett. 68, 1586–1589 (1992)

Complete mode locking in models of charge-density waves

Download: PDF (210 kB) Buy this article Export: BibTeX or EndNote (RIS)

A. Alan Middleton and Ofer Biham
Department of Physics, Syracuse University, Syracuse, New York 13244

P. B. Littlewood
AT&T Bell Laboratories, Murray Hill, New Jersey 07974

P. Sibani
Department of Physics, University of Odense, DK 5230 Odense M, Denmark

Received 26 November 1991; published in the issue dated 9 March 1992

Mode locking in ac-driven charge-density waves is studied numerically in two and three dimensions, using both continuous equations of motion and a cellular automaton model. As the system size is increased, a complete devil’s staircase of steps is approached. The fractal dimension of the set of gaps in the staircase is found to be D0=0.75±0.04 (0.88±0.05) in two (three) dimensions in the automaton model. The spectrum of singularities f(α) is calculated and is related to the dynamic critical exponent ζ for the charge-density-wave depinning transition.

© 1992 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.68.1586
DOI:
10.1103/PhysRevLett.68.1586
PACS:
72.15.Nj, 64.60.Ht, 71.45.Lr