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arXiv · 0809.0081

Penrose Matching Rules from Realistic Potentials in a Model System

Sejoon Lim·M. Mihalkovic·C. L. Henley
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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.

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Sejoon Lim, M. Mihalkovic, C. L. Henley. 2008-08-30. Penrose Matching Rules from Realistic Potentials in a Model System. https://doi.org/10.1080/14786430802302026

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