Faceting and roughening in quasicrystals

Anupam Garg; Dov Levine

doi:10.1103/PhysRevLett.59.1683

Faceting and roughening in quasicrystals

Anupam Garg^*, Dov Levine

^*Corresponding author for this work

Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

52 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	1683-1686
Number of pages	4
Journal	Physical review letters
Volume	59
Issue number	15
DOIs	https://doi.org/10.1103/PhysRevLett.59.1683
State	Published - Jan 1 1987

ASJC Scopus subject areas

Physics and Astronomy(all)

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