Penrose Matching Rules from Realistic Potentials in a Model System

Details Penrose Matching Rules from Realistic Potentials in a Model System Penrose Matching Rules from Realistic Potentials in a Model System

2008-08-30

arxiv.org/abs/0809.0081v1

Physics

Condensed Matter

Materials Science

7 pp, 2 figures; proc. "Quasicrystals: Silver Jubilee" (Tel Aviv, 2007), Phil. Mag. in press

Scientific paper

10.1080/14786430802302026

We exhibit a toy model of a binary decagonal Al-Co quasicrystal -- closely
related to actual structures -- in which realistic pair potentials yield a
ground state which appears to perfectly implement Penrose's matching rules, for
Hexagon-Boat-Star (HBS) tiles of edge 2.45 A. The second minimum of the
potentials is crucial for this result.

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