Finite-Temperature Elasticity Phase Transition in Decaconal Quasicrystals

Details Finite-Temperature Elasticity Phase Transition in Decaconal Quasicrystals Finite-Temperature Elasticity Phase Transition in Decaconal Quasicrystals

1993-06-24

arxiv.org/abs/cond-mat/9306053v1

Physics

Condensed Matter

REVTEX, 23 pages. 11 Figures available on request from hyeong@steinhardt.hep.upenn.edu, PA-9304

Scientific paper

We present evidence for a novel finite-temperature phase transition in the phason elasticity of quasicrystals. A tiling model for energetically stabilized decagonal quasicrystals has been studied in an extensive series of Monte Carlo simulation. Hamiltonian (energetics) of the model is given by nearest-neighbor Penrose-like matching rules between three dimensional unit cells. A new order parameter and diagnostics have been introduced. We show that a transition from locked phason to unlocked phason dynamics occurs at finite temperature. In the unlocked phase, phasons can be thermodynamically excited even though the quasicrystal is energetically stabilized at low temperatures.

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