Aperiodic crystals and beyond
Disordered Systems and Neural Networks
2015-06-18 v1 Mathematical Physics
math.MP
Abstract
Crystals are paradigms of ordered structures. While order was once seen as synonymous with lattice periodic arrangements, the discoveries of incommensurate crystals and quasicrystals led to a more general perception of crystalline order, encompassing both periodic and aperiodic crystals. The current definition of crystals rests on their essentially point-like diffraction. Considering a number of recently investigated toy systems, with particular emphasis on non-crystalline ordered structures, the limits of the current definition are explored.
Cite
@article{arxiv.1506.05276,
title = {Aperiodic crystals and beyond},
author = {Uwe Grimm},
journal= {arXiv preprint arXiv:1506.05276},
year = {2015}
}
Comments
33 pages, many pictures