On the integrated density of states for Schrödinger operators on \(\mathbb Z^2\) with quasi periodic potential

DOI10.1007/PL00005584zbMath1031.82023OpenAlexW2013844559MaRDI QIDQ5953693

Wilhelm Schlag

Publication date: 27 January 2002

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

Full work available at URL: https://doi.org/10.1007/pl00005584

zbMATH Keywords

large deviation theoremlarge disorderdiscrete \(\mathbb Z^2\)-modelThouless formula

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear difference operators (47B39)

Related Items (8)

An introduction to multiscale techniques in the theory of Anderson localization. I ⋮ Hölder regularity of the integrated density of states for quasi-periodic long-range operators on \(\ell^2(\mathbb{Z}^d)\) ⋮ Hölder continuity of the integrated density of states for the Fibonacci Hamiltonian ⋮ Localization and regularity of the integrated density of states for Schrödinger operators on \(\mathbb{Z}^d\) with \(C^2\)-cosine like quasi-periodic potential ⋮ Pointwise modulus of continuity of the Lyapunov exponent and integrated density of states for analytic multi-frequency quasi-periodic M(2,C) cocycles ⋮ Localization for random operators with non-monotone potentials with exponentially decaying correlations ⋮ Quantitative inductive estimates for Green's functions of non-self-adjoint matrices ⋮ Regularity of the density of states of random Schrödinger operators

This page was built for publication: On the integrated density of states for Schrödinger operators on \(\mathbb Z^2\) with quasi periodic potential