Absence of Point Spectrum for the Self-Dual Extended Harper’S Model

DOI10.1093/imrn/rnw279zbMath1407.82014arXiv1909.03995OpenAlexW3099447867MaRDI QIDQ4619375

Rui Han

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.03995

zbMATH Keywords

point spectrumHarper's model

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (8)

Sharp Hölder continuity of the integrated density of states for extended Harper's model with a Liouville frequency ⋮ Almost everything about the unitary almost Mathieu operator ⋮ Discrete Bethe-Sommerfeld conjecture for triangular, square, and hexagonal lattices ⋮ Spectral dimension for \(\beta\)-almost periodic singular Jacobi operators and the extended Harper's model ⋮ On point spectrum of critical almost Mathieu operators ⋮ Hölder continuity of absolutely continuous spectral measure for multi-frequency Schrödinger operators ⋮ Singular-unbounded random Jacobi matrices ⋮ Cantor spectrum of graphene in magnetic fields

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