Anderson transition at two-dimensional growth rate on antitrees and spectral theory for operators with one propagating channel
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Publication:2628869
DOI10.1007/s00023-015-0456-3zbMath1347.81041arXiv1501.04287OpenAlexW3099322909MaRDI QIDQ2628869
Publication date: 18 July 2016
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.04287
General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Discrete version of topics in analysis (39A12) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items (11)
Renormalization group analysis of the hierarchical Anderson model ⋮ A central limit theorem for products of random matrices and GOE statistics for the Anderson model on long boxes ⋮ GOE statistics for Anderson models on antitrees and thin boxes in \(\mathbb{Z}^3\) with deformed Laplacian ⋮ Absolutely continuous spectrum for Schrödinger operators with random decaying matrix potentials on the strip ⋮ Spectral theory of one-channel operators and application to absolutely continuous spectrum for Anderson type models ⋮ A supersymmetric hierarchical model for weakly disordered \(3d\) semimetals ⋮ Quantum graphs on radially symmetric antitrees ⋮ On the decomposition of the Laplacian on metric graphs ⋮ Transfer matrices for discrete Hermitian operators and absolutely continuous spectrum ⋮ Delocalization and continuous spectrum for ultrametric random operators ⋮ A theorem on the multiplicity of the singular spectrum of a general Anderson-type Hamiltonian
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