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arXiv · 0809.0084

Matching rules from Al-Co potentials in an almost realistic model

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

We consider a model decagonal quasicrystal of composition Al$_{80.1}$Co$_{19.9}$ -- closely related to actual structures, and using realistic pair potentials -- on a quasilattice of candidate sites. Its ground state, according to simulations, is a Hexagon-Boat-Star tiling satisfying Penrose's matching rules. In this note, we rationalize these results in terms of the potentials; the Al-Co second-neighbor potential well is crucial.

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Sejoon Lim, M. Mihalkovic, C. L. Henley. 2008-08-30. Matching rules from Al-Co potentials in an almost realistic model. https://arxiv.org/abs/0809.0084

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