TY - JOUR
T1 - Faceting and roughening in quasicrystals
AU - Garg, Anupam
AU - Levine, Dov
PY - 1987
Y1 - 1987
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.59.1683
DO - 10.1103/PhysRevLett.59.1683
M3 - Article
C2 - 10035302
AN - SCOPUS:0010161609
SN - 0031-9007
VL - 59
SP - 1683
EP - 1686
JO - Physical review letters
JF - Physical review letters
IS - 15
ER -