Random Tiling Transition in Three Dimensions

W. Ebinger; J. Roth; H. -R. Trebin

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arXiv · cond-mat/9706116

Random Tiling Transition in Three Dimensions

W. Ebinger·J. Roth·H. -R. Trebin

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Abstract

Three-dimensional icosahedral random tilings are studied in the semi-entropic model. We introduce a global energy measure defined by the variance of the quasilattice points in orthogonal space. The specific heat shows a pronounced Schottky type anomaly, but it does not diverge with sample size. The flip susceptibility as defined by Dotera and Steinhardt [Phys. Rev. Lett. 72, 1670 (1994)] diverges and shifts to lower temperatures, thus indicating a transition at T=0. Contrary to the Kalugin-Katz conjecture, the self-diffusion shows a plateau at intermediate temperature ranges which is explained by energy barriers and a changing number of flipable configurations.

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W. Ebinger, J. Roth, H. -R. Trebin. 1997-06-12. Random Tiling Transition in Three Dimensions. https://arxiv.org/abs/cond-mat/9706116

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