100 citations · 126 across the 9 of their papers we have counts for
7 papers · 1 filter
Energetic and dynamic properties of a quantum particle in a spatially random magnetic field with constant correlations along one direction
Hajo Leschke, Simone Warzel, Alexandra Weichlein
We consider an electrically charged particle on the Euclidean plane subjected to a perpendicular magnetic field which depends only on one of the two Cartesian co-ordinates. For suc…
Persistence under Weak Disorder of AC Spectra of Quasi-Periodic Schroedinger operators on Trees Graphs
Michael Aizenman, Simone Warzel
We consider radial tree extensions of one-dimensional quasi-periodic Schroedinger operators and establish the stability of their absolutely continuous spectra under weak but extens…
Absolutely Continuous Spectra of Quantum Tree Graphs with Weak Disorder
Michael Aizenman, Robert Sims, Simone Warzel
We consider the Laplacian on a rooted metric tree graph with branching number and random edge lengths given by independent and identically distributed bounded variable…
Anderson Localization and Lifshits Tails for Random Surface Potentials
Werner Kirsch, Simone Warzel
We consider Schrödinger operators on with a random potential concentrated near the surface . We prove that the integrated density of stat…
Lifshits tails caused by anisotropic decay: the emergence of a quantum-classical regime
Werner Kirsch, Simone Warzel
We investigate Lifshits-tail behaviour of the integrated density of states for a wide class of Schrödinger operators with positive random potentials. The setting includes alloy-typ…
Classical magnetic Lifshits tails in three space dimensions: impurity potentials with slow anisotropic decay
Dirk Hundertmark, Werner Kirsch, Simone Warzel
We determine the leading low-energy fall-off of the integrated density of states of a magnetic Schroedinger operator with repulsive Poissonian random potential in case its single i…