Delocalization for the 3D discrete random Schrödinger operator at weak disorder

DOI10.1088/1751-8113/47/30/305202zbMath1305.82031arXiv1312.3936OpenAlexW2106593521MaRDI QIDQ2876344

Robert C. Kirby, Constanze Liaw, Westin King

Publication date: 18 August 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3936

zbMATH Keywords

Lanczos algorithmextended states3D Anderson model

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Iterative numerical methods for linear systems (65F10) Schrödinger operator, Schrödinger equation (35J10) Orthogonalization in numerical linear algebra (65F25)

Related Items (3)

Anomalous diffusion in one-dimensional disordered systems: a discrete fractional Laplacian method ⋮ Singular Integrals, Rank One Perturbations and Clark Model in General Situation ⋮ Rank-one perturbations and Anderson-type Hamiltonians

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