Blå och gula färger i form av en blomma mot en svart bakgrund
Seminarium i matematik

Mathematics of magic angles for twisted bilayer graphene

Magic angles are a hot topic in condensed matter physics: when two sheets of graphene are twisted by those angles the resulting material is superconducting.

Föreläsare: Jens Wittsten

Jens Wittsten will present a very simple operator whose spectral properties are thought to determine which angles are magical. It comes from a recent Physical Review Letter by Tarnopolsky–Kruchkov–Vishwanath. The mathematics behind this is a blend of representation theory (of the Heisenberg group in characteristic three), Jacobi theta functions and spectral instability of non-self-adjoint operators (involving Hörmander’s bracket condition in a simple setting). The results will be illustrated by colourful numerics which suggest some open problems. This is joint work with S. Becker, M. Embree, and M. Zworski.

Växjö, sal B1006 Lägg till i din kalender