Robust matching rules for real quasicrystals
Other Condensed Matter
2020-05-20 v1
Abstract
We consider the problem of extraction and validation of matching rules, directly from the phased diffraction data of a quasicrystal, and propose an algorithmic procedure to produce the rules of the shortest possible range. We have developed a geometric framework to express such rules together with a homological mechanism enforcing the long-range quasiperiodic order. This mechanism tolerates the presence of defects in a robust way.
Keywords
Cite
@article{arxiv.1909.07436,
title = {Robust matching rules for real quasicrystals},
author = {Pavel Kalugin and André Katz},
journal= {arXiv preprint arXiv:1909.07436},
year = {2020}
}
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