title: Finite-temperature liquid-quasicrystal transition in a lattice model.
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.
authors.affiliation: Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, Tel Aviv, Israel.
authors.forename: Z
authors.initials: Z
authors.lastname: Rotman
authors.forename: E
authors.initials: E
authors.lastname: Eisenberg