A symmetry group of a Thue-Morse quasicrystal

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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6 pages, Latex

Scientific paper

10.1088/0305-4470/31/23/001

We present a method of coding general self-similar structures. In particular,
we construct a symmetry group of a one-dimensional Thue-Morse quasicrystal,
i.e., of a nonperiodic ground state of a certain translation-invariant,
exponentially decaying interaction.

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