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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.SP2022★ 3 cited
Stability of the non-critical spectral properties I: arithmetic absolute continuity of the integrated density of states
Lingrui Ge, Svetlana Jitomirskaya, Xin Zhao
We prove absolute continuity of the integrated density of states for frequency-independent analytic perturbations of the non-critical almost Mathieu operator under arithmetic condi…