Random Tiling Transition in Three Dimensions
Condensed Matter
2007-05-23 v1
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.
Cite
@article{arxiv.cond-mat/9706116,
title = {Random Tiling Transition in Three Dimensions},
author = {W. Ebinger and J. Roth and H. -R. Trebin},
journal= {arXiv preprint arXiv:cond-mat/9706116},
year = {2007}
}
Comments
accepted for the Proceedings of the 6th Int. Conf. on Quasicrystals