Magic angles and classically forbidden regions for twisted bilayer graphene | Vidéo | Carmin.tv

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Magic angles and classically forbidden regions for twisted bilayer graphene

By Michael Hitrik

Appears in collection : Mathematical aspects of the physics with non-self-adjoint operators / Les aspects mathématiques de la physique avec les opérateurs non-auto-adjoints

Magic angles are a topic of current interest in condensed matter physics and refer to a remarkable theoretical (Bistritzer–MacDonald, 2011) and experimental (Jarillo-Herrero et al, 2018) discovery: two sheets of graphene twisted by a certain (magic) angle display unusual electronic properties, such as superconductivity. In this talk, we shall discuss a simple periodic Hamiltonian describing the chiral limit of twisted bilayer graphene (Tarnopolsky-Kruchkov-Vishwanath, 2019), whose spectral properties are thought to determine which angles are magical. We show that the corresponding eigenfunctions decay exponentially in suitable geometrically determined regions as the angle of twisting decreases, which can be viewed as a form of semiclassical analytic hypoellipticity. This is joint work with Maciej Zworski.

Information about the video

Date of recording 03/06/2024
Date of publication 26/06/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20188303
Cite this video Hitrik, Michael (03/06/2024). Magic angles and classically forbidden regions for twisted bilayer graphene. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20188303
URL https://dx.doi.org/10.24350/CIRM.V.20188303

Domain(s)

Bibliography

HITRIK, Michael, TAO, Zhongkai, et ZWORSKI, Maciej. Classically forbidden regions in the chiral model of twisted bilayer graphene. With an appendix by Zhongkai Tao and Maciej Zworski. arXiv preprint arXiv:2310.19140, 2023. - https://arxiv.org/abs/2310.19140

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