Abstract
We consider a tiling model of the two-dimensional square lattice, where each site is tiled with one of the 16 Wang tiles. The ground states of this model are all quasiperiodic. The systems undergoes a disorder to quasiperiodicity 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 hyperscaling.
| Original language | English |
|---|---|
| Article number | 011123 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 83 |
| Issue number | 1 |
| DOIs | |
| State | Published - 24 Jan 2011 |
ASJC Scopus subject areas
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability
Fingerprint
Dive into the research topics of 'Finite-temperature liquid-quasicrystal transition in a lattice model'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver