Tile Hamiltonian for Decagonal AlCoCu
| dc.creator | Al-Lehyani, Ibrahim | |
| dc.creator | Widom, Mike | |
| dc.date | 2002-05-23 | |
| dc.date.accessioned | 2026-07-07T02:45:35Z | |
| dc.date.available | 2026-07-07T02:45:35Z | |
| dc.description | A tile Hamiltonian (TH) replaces the actual atomic interactions in a quasicrystal with effective interactions between and within tiles. We studied Al-Co-Cu decagonal quasicrystals described as decorated Hexagon-Boat-Star (HBS) tiles using {\em ab-initio} methods. The dominant term in the TH counts the number of H, B and S tiles. Phason flips that replace an HS pair with a BB pair lower the energy. In Penrose tilings, quasiperiodicity is forced by arrow matching rules on tile edges. The edge arrow orientation in our model of AlCoCu is due to Co/Cu chemical ordering. Tile edges meet in vertices with 72$^\circ$ or 144$^\circ$ angles. We find strong interactions between edge orientations at 72$^\circ$ vertices that force a type of matching rule. Interactions at 144$^\circ$ vertices are somewhat weaker. | |
| dc.description | 19 pages, 8 figures. Submitted to PRB | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0205489 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0205489 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19350 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Tile Hamiltonian for Decagonal AlCoCu | |
| dc.type | text |