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math-ph2024★ 1 cited
Dirac cones and magic angles in the Bistritzer--MacDonald TBG Hamiltonian
Simon Becker, Solomon Quinn, Zhongkai Tao +2
We demonstrate the generic existence of Dirac cones in the full Bistritzer--MacDonald Hamiltonian for twisted bilayer graphene. Its complementary set, when Dirac cones are absent,…
math-ph2024
Twisted TMDs in the small-angle limit: exponentially flat and trivial bands
Simon Becker, Mengxuan Yang
Recent experiments discovered fractional Chern insulator states at zero magnetic field in twisted bilayer MoTe [C23,Z23] and WSe [MD23]. In this article, we study the MacDo…
math-ph2023★ 3 cited
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…