Temperature-dependent "phason" elasticity in a random tiling quasicrystal
Materials Science
2013-05-29 v1
Abstract
Both ``phason'' elastic constants have been measured from Monte Carlo simulations of a random-tiling icosahedral quasicrystal model with a Hamiltonian. The low-temperature limit approximates the ``canonical-cell'' tiling used to describe several real quasicrystals. The elastic constant K2 changes sign from positive to negative with decreasing temperature; in the ``canonical-cell'' limit, K2/K1 appears to approach -0.7, about the critical value for a phason-mode modulation instability. We compare to the experiments on i-AlPdMn and i-AlCuFe.
Keywords
Cite
@article{arxiv.cond-mat/0205271,
title = {Temperature-dependent "phason" elasticity in a random tiling quasicrystal},
author = {M. Mihalkovic and C. L. Henley},
journal= {arXiv preprint arXiv:cond-mat/0205271},
year = {2013}
}
Comments
5 pages, 2 Postscript figures, LaTeX, uses revtex4, submitted to PRB