71 citations · 230 across the 21 of their papers we have counts for
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Scaling of the Lyapunov exponent at a balanced hyperbolic critical point
Joris De Moor, Christian Sadel, Hermann Schulz-Baldes
In both the random hopping model and at topological phase transitions in one-dimensional chiral systems, the Lyapunov exponent vanishes at zero energy, but is here shown to have an…
Footprint of a topological phase transition on the density of states
Joris De Moor, Christian Sadel, Hermann Schulz-Baldes
For a generalized Su-Schrieffer-Heeger model the energy zero is always critical and hyperbolic in the sense that all reduced transfer matrices commute and have their spectrum off t…
Absolutely Continuous Spectrum For Schrödinger Operators With Random Decaying Matrix Potentials on The Strip
Hernan Gonzales, Christian Sadel
We consider a family of random Schrödinger operators on the discrete strip with decaying random matrix potential. We prove that the spectrum is almost surely pure absolute…
GOE statistics for Anderson models on antitrees and thin boxes in with deformed Laplacian
Christian Sadel
Sequences of certain finite graphs, antitrees, are constructed along which the Anderson model shows GOE statistics, i.e. a re-scaled eigenvalue process converges to the ${\rm Sine}…
Topological boundary invariants for Floquet systems and quantum walks
Christian Sadel, Hermann Schulz-Baldes
A Floquet systems is a periodically driven quantum system. It can be described by a Floquet operator. If this unitary operator has a gap in the spectrum, then one can define associ…
Spectral Theory of one-channel operators and application to absolutely continuous spectrum for Anderson type models
Christian Sadel
A one-channel operator is a self-adjoint operator on for some countable set with a rank 1 transition structure along the sets of a quasi-spherical…