Tile Hamiltonians for Decagonal Phases

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dc.creatorWidom, M.
dc.creatorAl-Lehyani, I.
dc.creatorMihalkovic, M.
dc.date2002-12-26
dc.date.accessioned2026-07-07T02:48:55Z
dc.date.available2026-07-07T02:48:55Z
dc.descriptionA tile Hamiltonian (TH) replaces the actual atomic interactions in a quasicrystal with effective interactions between and within tiles. We study Al-Co-Ni and Al-Co-Cu decagonal quasicrystals described as decorated Hexagon-Boat-Star (HBS) tiles using {\em ab-initio} methods. A dominant term in the TH counts the number of H, B and S tiles, favoring tilings of H and B only. In our model for Al-Co-Cu, chemical ordering of Cu and Co along tile edges defines tile edge arrowing. Unlike the edge arrowing of Penrose matching rules, however, the energetics for Al-Co-Cu do not force quasiperiodicity. Energetically favored structures resemble crystalline approximants to which the actual quasicrystalline compounds transform at low temperature.
dc.descriptionProceedings of the 8th International Conference on Quasicrystals, to be published in J. Noncryst. Solids (2003), 6 pages and 8 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0212605
dc.identifierhttp://arxiv.org/abs/cond-mat/0212605
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/20600
dc.subjectCondensed Matter
dc.titleTile Hamiltonians for Decagonal Phases
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