When quasicrystals meet the quantum Hall effect

This study shows that quasicrystals, although they do not have a repeating pattern, inherit the topological properties of the quantum Hall effect. Using the Fibonacci–Hall model, the researcher calculates Chern numbers that indicate the presence of edge conduction. Abrupt changes in these numbers (Lifshitz transitions) cause these edge channels to appear or disappear. The method also works for 2D and 3D quasicrystals, paving the way for experimental measurements of these topological effects.