A finite-temperature liquid-quasicrystal transition in a lattice model
Statistical Mechanics
2011-03-09 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1009.1156,
title = {A finite-temperature liquid-quasicrystal transition in a lattice model},
author = {Ziv Rotman and Eli Eisenberg},
journal= {arXiv preprint arXiv:1009.1156},
year = {2011}
}