Anderson localization for one-frequency quasi-periodic block operators with long-range interactions

DOI10.1063/1.5089801zbMath1418.82004arXiv1711.08661OpenAlexW2962763875WikidataQ127615677 ScholiaQ127615677MaRDI QIDQ5223606

Wenwen Jian, Yunfeng Shi, Xiao Ping Yuan

Publication date: 18 July 2019

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

Full work available at URL: https://arxiv.org/abs/1711.08661

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random linear operators (47B80)

Related Items (4)

Spectral theory of the multi-frequency quasi-periodic operator with a Gevrey type perturbation ⋮ Anderson localization for Jacobi matrices associated with high-dimensional skew shifts ⋮ Exact mobility edges for 1D quasiperiodic models ⋮ Anderson localization for long-range operators with singular potentials

Cites Work

• Positive Lyapunov exponents for higher dimensional quasiperiodic cocycles
• Localization for a class of one dimensional quasi-periodic Schrödinger operators
• Positive Lyapunov exponents for Schrödinger operators with quasi- periodic potentials
• Lyapunov exponents of the Schrödinger equation with quasi-periodic potential on a strip
• Discrete one-dimensional quasi-periodic Schrödinger operators with pure point spectrum
• Absolutely continuous spectrum for 1D quasiperiodic operators.
• Anderson localization for Schrödinger operators on \(\mathbb{Z}^2\)with quasi-periodic potential
• Anderson localization for two interacting quasiperiodic particles
• Universal hierarchical structure of quasiperiodic eigenfunctions
• Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential
• Estimates on Green's functions, localization and the quantum kicked rotor model.
• Zariski closure of subgroups of the symplectic group and Lyapunov exponents of the Schrödinger operator on the strip
• Metal-insulator transition for the almost Mathieu operator
• Lyapunov exponents of linear cocycles. Continuity via large deviations
• Anderson localization for one-frequency quasi-periodic block Jacobi operators
• The Ten Martini problem
• Anderson localization for quasi-periodic lattice Schrödinger operators on \(\mathbb Z^d\), \(d\) arbitrary
• Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
• On nonperturbative localization with quasi-periodic potential.
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