Localization on a quantum graph with a random potential on the edges

Abstract

We prove spectral and dynamical localization on a cubic-lattice quantum graph with a random potential. We use multiscale analysis and show how to obtain the necessary estimates in analogy to the well-studied case of random Schroedinger operators.

LaTeX2e, 18 pages

References in corpus (2)

• Absolutely Continuous Spectra of Quantum Tree Graphs with Weak Disorder
• Spectra of Schroedinger operators on equilateral quantum graphs

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• Anderson Localization for radial tree-like random quantum graphs
• The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs
• Universality of smoothness of Density of States in arbitrary higher-dimensional disorder under non-local interactions I. From Viéte--Euler identity to Anderson localization
• Optimal Wegner estimates for random Schroedinger operators on metric graphs
• Some abstract Wegner estimates with applications
• Anderson Localization for a Multi-Particle Quantum Graph
• Random Schrödinger Operators on discrete structures
• Localization for quantum graphs with a random potential
• Topologically induced spectral behavior: the example of quantum graphs