Diffraction of the Dart-Rhombus Random Tiling
Mathematical Physics
2007-05-23 v1 Statistical Mechanics
math.MP
Abstract
The diffraction spectrum of the dart-rhombus random tiling of the plane is derived in rigorous terms. Using the theory of dimer models, it is shown that it consists of Bragg peaks and an absolutely continuous diffuse background, but no singular continuous component. The Bragg part is given explicitly.
Cite
@article{arxiv.math-ph/9911014,
title = {Diffraction of the Dart-Rhombus Random Tiling},
author = {Moritz Hoeffe},
journal= {arXiv preprint arXiv:math-ph/9911014},
year = {2007}
}
Comments
4 pages with 4 figures; to be published in the proceedings of ICQ7'99