Commensurate states on incommensurate lattices

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

    Research output: Contribution to journalArticle

    Abstract

    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
    Volume60
    Issue number12
    DOIs
    StatePublished - 1988

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    flux quantization
    simulated annealing
    periodic variations
    charged particles
    symmetry
    energy

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Commensurate states on incommensurate lattices. / Grest, Gary S.; Chaikin, Paul M.; Levine, Dov.

    In: Physical Review Letters, Vol. 60, No. 12, 1988, p. 1162-1165.

    Research output: Contribution to journalArticle

    Grest, GS, Chaikin, PM & Levine, D 1988, 'Commensurate states on incommensurate lattices', Physical Review Letters, vol. 60, no. 12, pp. 1162-1165. https://doi.org/10.1103/PhysRevLett.60.1162
    Grest, Gary S. ; Chaikin, Paul M. ; Levine, Dov. / Commensurate states on incommensurate lattices. In: Physical Review Letters. 1988 ; Vol. 60, No. 12. pp. 1162-1165.
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