Diffraction of the Dart-Rhombus Random Tiling
classification
🧮 math-ph
cond-mat.stat-mechmath.MP
keywords
braggcontinuousdart-rhombusdiffractionrandomtilingabsolutelybackground
read the original 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.
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