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Abstract : We study the ground state of a simple one-dimensional model describing an incommensurate modulation of the vacancy density of a periodic lattice. We show that this structure, though its Fourier spectrum is always discrete, cannot be interpreted as an average crystal with a superimposed periodic displacive distortion except for a discrete sequence of particular values of the vacancy density. The absence of any average periodic lattice permits to consider those structures as genuine one-dimensional quasi-crystals different from the standard one-dimensional incommensurate structures.

keyword : quasicrystals vacancies crystal





Author: S. Aubry C. Godrèche F. Vallet

Source: https://hal.archives-ouvertes.fr/



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