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Einladung zum Vortrag (Zoom) von Herrn Prof. Maciej Zworski (University of California, Berkeley) am 31.01.2024 - 17:00 Uhr im Rahmen des Forschungsseminars Analysis
[31.01.2024]Im Rahmen des Forschungsseminars Analysis hält am Mittwoch, den 31. Januar 2024, um 17:00 Uhr,
Herr Prof. Maciej Zworski (University of California, Berkeley) einen Vortrag zum Thema:
Mathematics of magic angles for twisted bilayer graphene
Abstract: Magic angles refer to a remarkable theoretical (Bistritzer-MacDonald, 2011) and experimental (Jarillo-Herrero et al 2018) discovery, that two sheets of graphene twisted by a certain (magic) angle display unusual electronic properties such as superconductivity.
Mathematically, this is related to having flat bands of nontrivial topology for the corresponding periodic Hamiltonian and their existence be shown for the chiral model of twisted bilayer graphene (Tarnopolsky-Kruchkov-Vishwanath, 2019). A spectral characterization of magic angles (Becker-Embree-Wittsten--Z, 2021, Galkowski-Z, '23) also produces complex values and the distribution of their reciprocals looks remarkably like a distribution of scattering resonances for a two dimensional problem, with the real magic angles corresponding to anti-bound states. I will review various results on that distribution as well as on the properties of the associated eigenstates.
The talk is based on joint works with S. Becker, M. Embree, J. Galkowski, M. Hitrik, T. Humbert and J. Wittsten.
Der Vortrag findet im Rahmen eines Zoom-Meetings statt. Bei Interesse an den Zugangsdaten bitte bei Herrn PD Dr. habil. Joachim Kerner (joachim.kerner) melden.
