Simon Becker, Mark Embree, Jens Wittsten, Maciej Zworski
2020.8.19Probability and Mathematical Physics
tlooto Summary
Mathematical analysis of magic angles in twisted bilayer graphene reveals pseudospectral phenomena and squeezing of bands as angle decreases.
Abstract
We provide a mathematical account of the recent Physical Reviews Letter by Tarnopolsky--Kruchkov--Vishwanath. The new contributions are a spectral characterization of magic angles, its accurate numerical implementation and an exponential estimate on the squeezing of all bands as the angle decreases. Pseudospectral phenomena due to the non-hermitian nature of operators appearing in the model play a crucial role in our analysis.
Citation format
BECKER, Simon, et al. Mathematics of magic angles in a model of twisted bilayer graphene [preprint]. arXiv, 2020. arXiv:2008.08489.