Stable quasicrystalline ground states
Statistical Mechanics
2015-06-25 v2
Abstract
We give a strong evidence that noncrystalline materials such as quasicrystals or incommensurate solids are not exceptions but rather are generic in some regions of a phase space. We show this by constructing classical lattice-gas models with translation-invariant, finite-range interactions and with a unique quasiperiodic ground state which is stable against small perturbations of two-body potentials. More generally, we provide a criterion for stability of nonperiodic ground states.
Cite
@article{arxiv.cond-mat/9301017,
title = {Stable quasicrystalline ground states},
author = {Jacek Miekisz},
journal= {arXiv preprint arXiv:cond-mat/9301017},
year = {2015}
}
Comments
14 pages, Latex, 10 figures available upon request, completely revised version