%0 Generic %1 becker2020mathematics %A Becker, Simon %A Embree, Mark %A Wittsten, Jens %A Zworski, Maciej %D 2020 %K graphene %T Mathematics of magic angles in a model of twisted bilayer graphene %U http://arxiv.org/abs/2008.08489 %X 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.

@misc{becker2020mathematics, 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.}, added-at = {2021-06-15T16:27:37.000+0200}, author = {Becker, Simon and Embree, Mark and Wittsten, Jens and Zworski, Maciej}, biburl = {https://www.bibsonomy.org/bibtex/22b77473b2db1ad34b808999def43f1c3/gzhou}, description = {Mathematics of magic angles in a model of twisted bilayer graphene}, interhash = {ae6bbea4ee1849a899cafef08841f113}, intrahash = {2b77473b2db1ad34b808999def43f1c3}, keywords = {graphene}, note = {cite arxiv:2008.08489Comment: We added a trace formula summing up powers of magic angles and elaborated on our numerical methods}, timestamp = {2021-06-15T16:27:37.000+0200}, title = {Mathematics of magic angles in a model of twisted bilayer graphene}, url = {http://arxiv.org/abs/2008.08489}, year = 2020 }