Confirmation of the Random Tiling Hypothesis for a Decagonal Quasicrystal

Engel M, Kiselev A, Trebin HR (2012)


Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2012

Journal

Publisher: American Physical Society

Book Volume: 109

Article Number: 225502

Journal Issue: 22

DOI: 10.1103/PhysRevLett.109.225502

Abstract

Mechanisms that stabilize quasicrystals are much discussed but not finally resolved. We confirm the random tiling hypothesis and its predictions in a fully atomistic decagonal quasicrystal model by calculating the free energy and the phason elastic constants over a wide range of temperatures. The Frenkel-Ladd method is applied for the phonon part, and an approach of uncorrelated phason flips is applied for the configurational part. When lowering the temperature, a phase transition to an approximant occurs. Close to the transition temperature, one of the phason elastic constants becomes soft. © 2012 American Physical Society.

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APA:

Engel, M., Kiselev, A., & Trebin, H.-R. (2012). Confirmation of the Random Tiling Hypothesis for a Decagonal Quasicrystal. Physical Review Letters, 109(22). https://dx.doi.org/10.1103/PhysRevLett.109.225502

MLA:

Engel, Michael, Alexander Kiselev, and Hans-Rainer Trebin. "Confirmation of the Random Tiling Hypothesis for a Decagonal Quasicrystal." Physical Review Letters 109.22 (2012).

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