Commensurate states on incommensurate lattices

Gary S. Grest, Paul M. Chaikin, Dov Levine

    Research output: Contribution to journalArticlepeer-review


    Can commensurate states exist on incommensurate lattices? We introduce and study by simulated annealing a simple 1D model related to flux quantization on superconducting networks or charged particles on a substrate to answer this question. For periodic and quasicrystalline patterns we find a set of low-energy states related to both decimation symmetry and periodicity.

    Original languageEnglish (US)
    Pages (from-to)1162-1165
    Number of pages4
    JournalPhysical Review Letters
    Issue number12
    StatePublished - 1988

    ASJC Scopus subject areas

    • General Physics and Astronomy


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