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math-ph2023
From the chiral model of TBG to the Bistritzer--MacDonald model
Simon Becker, Maciej Zworski
We analyse the splitting of exact flat bands in the chiral model of the twisted bilayer graphene (TBG) when the coupling of the full Bistritzer--MacDonald model is taken…
math-ph2023
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…