Faceting and roughening in quasicrystals

Anupam Garg*, Dov Levine

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

52 Scopus citations


The question whether quasicrystal shapes should be faceted is studied in a simple model of quasicrystalline order. At T=0, the model is proved to yield a completely faceted equilibrium shape in both two and three dimensions. At T>0, an interface model is derived for a two-dimensional Penrose tiling. By mapping it onto a one-dimensional quasiperiodic Schrödinger equation, we show that the roughness exponent varies continuously with T at low T.

Original languageEnglish (US)
Pages (from-to)1683-1686
Number of pages4
JournalPhysical review letters
Issue number15
StatePublished - Jan 1 1987

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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