1 citations · 2 across the 4 of their papers we have counts for
6 papers
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…
Spectra of Non-Self-Adjoint Almost Mathieu Matrices and the Scottish Flag Operator
Simon Becker, Izak Oltman
For and a potential phase , we study the non-self-adjoint almost Mathieu matrix obtained by multiplying the discrete Laplacian by a complex phase…
Spectral Instability of Random Fredholm Operators
Simon Becker, Izak Oltman, Martin Vogel
If is an unbounded Fredholm operator of index on a Hilbert space with a dense domain , then its spectrum…
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…