39 citations · 63 across the 9 of their papers we have counts for
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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…
Dirac points for twisted bilayer graphene with in-plane magnetic field
Simon Becker, Maciej Zworski
We study Dirac points of the chiral model of twisted bilayer graphene (TBG) with constant in-plane magnetic field. For a fixed small magnetic field, we show that as the angle of tw…
Hofstadter butterflies and metal/insulator transitions for moiré heterostructures
Simon Becker, Lingrui Ge, Jens Wittsten
We consider a tight-binding model recently introduced by Timmel and Mele for strained moiré heterostructures. We consider two honeycomb lattices to which layer antisymmetric shear…
Magnetic slowdown of topological edge states
Guillaume Bal, Simon Becker, Alexis Drouot
We study the propagation of wavepackets along curved interfaces between topological, magnetic materials. Our Hamiltonian is a massive Dirac operator with a magnetic potential. We c…
Magnetic response of twisted bilayer graphene
Simon Becker, Jihoi Kim, Xiaowen Zhu
In this article, we analyse the Bistritzer--MacDonald (BM) model (also known as the continuum model) of twisted bilayer graphene (TBG) with an additional external magnetic field. W…