Random Tiling Transition in Three Dimensions
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 1997
- DOI:
- 10.48550/arXiv.cond-mat/9706116
- arXiv:
- arXiv:cond-mat/9706116
- Bibcode:
- 1997cond.mat..6116E
- Keywords:
-
- Condensed Matter
- E-Print:
- accepted for the Proceedings of the 6th Int. Conf. on Quasicrystals