Finite-temperature liquid-quasicrystal transition in a lattice model
| Autor: | Ziv Rotman, Eli Eisenberg |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Phase transition
Statistical Mechanics (cond-mat.stat-mech) Condensed matter physics Wang tile FOS: Physical sciences Quasicrystal Condensed Matter::Disordered Systems and Neural Networks Square lattice Quasiperiodicity Quasiperiodic function Statistical physics Critical exponent Condensed Matter - Statistical Mechanics Lattice model (physics) Mathematics |
| Zdroj: | Physical Review E. 83 |
| ISSN: | 1550-2376 1539-3755 |
| Popis: | We consider a tiling model of the two-dimensional square-lattice, where each site is tiled with one of the sixteen Wang tiles. The ground states of this model are all quasi-periodic. The systems undergoes a disorder to quasi-periodicity phase transition at finite temperature. Introducing a proper order-parameter, we study the system at criticality, and extract the critical exponents characterizing the transition. The exponents obtained are consistent with hyper-scaling. |
| Databáze: | OpenAIRE |
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