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Commensurate states on incommensurate lattices

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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. © 1988 The American Physical Society.
Original languageEnglish
Pages (from-to)1162-1165
Number of pages4
JournalPhysical Review Letters
Volume60
Issue number12
DOIs
StatePublished - Jan 1 1988
Externally publishedYes

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