100 citations · 126 across the 9 of their papers we have counts for
9 papers
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…
Ballistic transport in random magnetic fields with anisotropic long-ranged correlations
Hajo Leschke, Simone Warzel, Alexandra Weichlein
We present exact theoretical results about energetic and dynamic properties of a spinless charged quantum particle on the Euclidean plane subjected to a perpendicular random magnet…
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…