Complete mode locking in models of charge-density waves

A. Alan Middleton, Ofer Biham, P. B. Littlewood, P. Sibani

Research output: Contribution to journalArticlepeer-review

59 Scopus citations


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 devils staircase of steps is approached. The fractal dimension of the set of gaps in the staircase is found to be D0=0.750.04 (0.880.05) in two (three) dimensions in the automaton model. The spectrum of singularities f is calculated and is related to the dynamic critical exponent for the charge-density-wave depinning transition.

Original languageEnglish (US)
Pages (from-to)1586-1589
Number of pages4
JournalPhysical Review Letters
Issue number10
StatePublished - 1992

ASJC Scopus subject areas

  • General Physics and Astronomy


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