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math-ph2022★ 2 cited
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…
math.AP2022★ 3 cited
Semiclassical quantization conditions in strained moiré lattices
Simon Becker, Jens Wittsten
In this article we generalize the Bohr-Sommerfeld rule for scalar symbols at a potential well to matrix-valued symbols having eigenvalues that may coalesce precisely at the bottom…
math.AP2022★ 2 cited
Uniqueness theorems for weighted harmonic functions in the upper half-plane
Anders Olofsson, Jens Wittsten
We consider a class of weighted harmonic functions in the open upper half-plane known as -harmonic functions. Of particular interest is the uniqueness problem for such functions…