Penrose Matching Rules from Realistic Potentials in a Model System
arXiv:0809.0081 · doi:10.1080/14786430802302026
Abstract
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.
7 pp, 2 figures; proc. "Quasicrystals: Silver Jubilee" (Tel Aviv, 2007), Phil. Mag. in press
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