Penrose Matching Rules from Realistic Potentials in a Model System
Materials Science
2009-11-13 v1
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.
Cite
@article{arxiv.0809.0081,
title = {Penrose Matching Rules from Realistic Potentials in a Model System},
author = {Sejoon Lim and M. Mihalkovic and C. L. Henley},
journal= {arXiv preprint arXiv:0809.0081},
year = {2009}
}
Comments
7 pp, 2 figures; proc. "Quasicrystals: Silver Jubilee" (Tel Aviv, 2007), Phil. Mag. in press