Dresden 2026 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 47: Statistical Physics: General I
DY 47.3: Talk
Thursday, March 12, 2026, 10:00–10:15, ZEU/0114
Quasicrystals with large rotational symmetries: Amorphous-like on small but ordered at large lengths scale — Alan Rodrigo Mendoza Sosa1,2, Atahualpa S. Kraemer1, Erdal C. Oğuz2, and •Michael Schmiedeberg3 — 1Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, 04510, Mexico City, Mexico — 2Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China — 3Soft Matter Theory group, Institut für Theoretische Physik, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91058 Erlangen, Germany
We study hyperuniformity in quasicrystals with large rotational symmetry. Hyperuniform systems are characterized by anomalously suppressed long-wavelength (i.e., large-length-scale) density fluctuations compared to those found in ordinary gases and fluids as well as in amorphous solids. We show that the degree to which the large-scale fluctuations are suppressed reveals a new characteristic length-scale. Below this length the patterns behave like amorphous systems while only above this length the long-ranged order becomes important leading to hyperuniformity in all cases.
Keywords: hyperuniformity; quasicrystal; aperiodic order; amorphous structure