1 citations · 2 across the 4 of their papers we have counts for
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Quantum percolation conjecture on regular trees
Simon Becker, Izak Oltman
For Bernoulli bond percolation on every regular tree of degree at least three, we prove that infinite clusters appear strictly before absolutely continuous spectrum. Throughout an…
Disorder on the hyperbolic square lattice I: Anderson delocalization and absolutely continuous spectrum
Simon Becker, Izak Oltman
We study the Anderson model on hyperbolic lattices. The graph is the Cartesian product of the Euclidean lattice with the regular hyperbolic square lattice having five squares at ea…
Absence of small magic angles for disordered tunneling potentials in twisted bilayer graphene
Simon Becker, Izak Oltman, Martin Vogel
We consider small random perturbations of the standard high-symmetry tunneling potentials in the Bistritzer-MacDonald Hamiltonian describing twisted bilayer graphene. Using methods…
Spectral theory of twisted bilayer graphene in a magnetic field
Simon Becker, Xiaowen Zhu
In this article we study the Bistritzer-MacDonald (BM) model with external magnetic field. We study the spectral properties of the Hamiltonian in an external magnetic field with a…