Magic Angles in Randomly Perturbed Twisted Bilayer Graphene

The HADES seminar on Tuesday, April 18th will be at 3:30 pm in Room 740.

Speaker: Izak Oltman

Abstract: One way to predict magic angles in twisted bilayer graphene (TBG) is to look for flat bands of the Bloch-Floquet transformed Hamiltonian modeling the chiral limit of the continuum model for TBG. In this talk, I will address the question: What happens to the spectrum when this Hamiltonian is randomly perturbed?

To answer this, I will provide an overview of multiscale analysis describing localization and delocalization for random self-adjoint operators and show how it applies to the TBG setting.

This is based on joint work with Hermann-Weyl lecturer Dr. Simon Becker.

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