A finite-temperature liquid-quasicrystal transition in a lattice model

Details A finite-temperature liquid-quasicrystal transition in a lattice model A finite-temperature liquid-quasicrystal transition in a lattice model

2010-09-06

arxiv.org/abs/1009.1156v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.83.011123

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.

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