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How should one define a (weak) crystal?
Authors:A C D van Enter  Jacek Miekisz
Institution:(1) Institute for Theoretical Physical, University of Groningen, P.O. Box 800, Groningen, The Netherlands
Abstract:We compare two proposals for the study of positional long-range order: one in terms of the spectrum of the translation operator, the other in terms of the Fourier spectrum. We point out that only the first one allows for the consideration of molecular, as opposed to atomic, (weakly) periodic structures. We illustrate this point on the Thue-Morse system.
Keywords:Positional long-range order  Fourier spectrum  spectrum of the shift
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