Next seminar : Séminaire du LPTMS: Erdal Oguz (Tel Aviv University)

Tuesday, November 12 2019 at 11:00:00

Hyperuniformity of quasicrystals and related structures

Erdal Oguz (Tel Aviv University)

Density fluctuations in many-body systems are of fundamental importance throughout various scientific disciplines. Hyperuniform systems, which include crystals and quasicrystals, have density fluctuations that are anomalously suppressed at long wavelengths compared to the fluctuations in typical disordered point distributions such as in ideal gases and liquids. In this talk, I will provide the first rigorous hyperuniformity analysis of quasicrystals and related points sets, and its consequences. Most importantly, we reveal that one-dimensional quasicrystals obtained by the cut-and-project method fall into two distinct classes with respect to their large-scale density fluctuations. This distinction provides a new classification scheme of quasicrystalline systems. Furthermore, our results suggest that these two classes exhibit distinct physical properties; for instance, by employing a tight-binding model, we discover that wave localization in each class displays a qualitatively different behavior.

Last Highlight : Canicule et bulles de chaleur urbaine

Les îlots de chaleur urbains acccentuent l'effet de la canicule. Une étude cosignée par le LPTMS établit l'importance de la structuration/texture spatiale des bâtiments (citée par Libération, La Croix, L'Express, TV5monde, L'Humanite, Rtl.be, LaLibre.be, ActuOrange...)

https://hal.archives-ouvertes.fr/hal-01729976

https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.120.108701


See all LPTMS highlights.


Next Conference :