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

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.

preprint2010arXivOpen access
Ziv RotmanEli Eisenberg
cond-mat.stat-mech
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Open access2 authors1 topic
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Ziv RotmanEli Eisenberg

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