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arXiv · 1009.1156

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

Ziv Rotman·Eli Eisenberg
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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.

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Ziv Rotman, Eli Eisenberg. 2010-09-06. A finite-temperature liquid-quasicrystal transition in a lattice model. https://doi.org/10.1103/physreve.83.011123

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