Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar tree-strips
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Publication:2254837
DOI10.1007/s11040-014-9163-4zbMath1306.05208arXiv1304.3862OpenAlexW3101679318MaRDI QIDQ2254837
Publication date: 6 February 2015
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.3862
Anderson modelrandom Schrödinger operatorsabsolutely continuous spectrumFibonacci treeextended states
Trees (05C05) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Graph operations (line graphs, products, etc.) (05C76)
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Cites Work
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- Localization for transversally periodic random potentials on binary trees
- Absolutely continuous spectrum for random operators on trees of finite cone type
- Resonant delocalization on the Bethe strip
- Absolutely continuous spectrum for the Anderson model on some tree-like graphs
- Ballistic behavior for random Schrödinger operators on the Bethe strip
- Absolutely continuous spectrum for the Anderson model on a product of a tree with a finite graph
- Absolutely continuous spectrum for the Anderson model on a tree: a geometric proof of Klein's theorem
- A new proof of localization in the Anderson tight binding model
- Random Dirac operators with time reversal symmetry
- Absence of diffusion in the Anderson tight binding model for large disorder or low energy
- Constructive proof of localization in the Anderson tight binding model
- Anderson localization for multi-dimensional systems at large disorder or large energy
- Smoothness of the density of states in the Anderson model on a one- dimensional strip
- Sur le spectre des opérateurs aux différences finies aléatoires
- Localization for the Anderson model on a strip with singular potentials
- A pure point spectrum of the stochastic one-dimensional Schrödinger operator
- Localization at large disorder and at extreme energies: an elementary derivation
- Extended states in the Anderson model on the Bethe lattice
- Localization and universality of Poisson statistics for the multidimensional Anderson model at weak disorder.
- Anderson localization for Bernoulli and other singular potentials
- Weak disorder localization and Lifshitz tails
- Absolutely continuous spectrum in the Anderson model on the Bethe lattice
- Spreading of wave packets in the Anderson model on the Bethe lattice
- Absolutely continuous spectrum for random Schrödinger operators on tree-strips of finite cone type
- On the spectral theory of trees with finite cone type
- Resonant delocalization for random Schrödinger operators on tree graphs
- Localization for the Anderson model on trees with finite dimensions
- Stability of the absolutely continuous spectrum of random Schrödinger operators on tree graphs
- Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs
- Absolutely continuous spectrum for random Schrödinger operators on the Bethe strip
- ABSOLUTELY CONTINUOUS SPECTRUM FOR A RANDOM POTENTIAL ON A TREE WITH STRONG TRANSVERSE CORRELATIONS AND LARGE WEIGHTED LOOPS
- Singular continuous spectrum under rank one perturbations and localization for random hamiltonians
- LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS
