Finite-Temperature Order-Disorder Phase Transition in a Cluster Model of Decagonal Tilings
| dc.creator | Reichert, Michael | |
| dc.creator | Gähler, Franz | |
| dc.date | 2003-02-04 | |
| dc.date | 2003-10-22 | |
| dc.date.accessioned | 2026-07-07T02:49:32Z | |
| dc.date.available | 2026-07-07T02:49:32Z | |
| dc.description | In a recent paper ["Cluster Model of Decagonal Tilings" (to be published in Phys. Rev. B)], we have introduced a cluster model for decagonal tilings in two dimensions. This model is now extended to three dimensions. Two-dimensional tilings are stacked on top of each other, with a suitable coupling between adjacent layers. An energy model with interactions leading to a perfect decagonal quasicrystal at low temperatures is studied by Monte Carlo simulations. An order parameter is defined, and its dependence on temperature and system size is investigated. Evidence for a finite-temperature order-disorder phase transition is presented. The critical exponents of this transition are determined by finite-size scaling. | |
| dc.description | 7 pages, 16 figures, 1 table, RevTeX; minor changes | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0302074 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0302074 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20833 | |
| dc.subject | Condensed Matter | |
| dc.title | Finite-Temperature Order-Disorder Phase Transition in a Cluster Model of Decagonal Tilings | |
| dc.type | text |