5 citations · 12 across the 3 of their papers we have counts for
4 papers
Chiral limit of twisted trilayer graphene
Simon Becker, Tristan Humbert, Jens Wittsten +1
We initiate the mathematical study of the Bistritzer-MacDonald Hamiltonian for twisted trilayer graphene in the chiral limit (and beyond). We develop a spectral theoretic approach…
Degenerate flat bands in twisted bilayer graphene
Simon Becker, Tristan Humbert, Maciej Zworski
We prove that in the chiral limit of the Bistritzer--MacDonald Hamiltonian, there exist magic angles at which the Hamiltonian exhibits flat bands of multiplicity four instead of tw…
Fine structure of flat bands in a chiral model of magic angles
Simon Becker, Tristan Humbert, Maciej Zworski
We analyze symmetries of Bloch eigenfunctions at magic angles for the Tarnopolsky--Kruchkov--Vishwanath chiral model of the twisted bilayer graphene (TBG) following the framework i…
Integrability in the chiral model of magic angles
Simon Becker, Tristan Humbert, Maciej Zworski
Magic angles in the chiral model of twisted bilayer graphene are parameters for which the chiral version of the Bistritzer--MacDonald Hamiltonian exhibits a flat band at energy zer…