Global Continuity of the Integrated Density of States for Random Landau Hamiltonians

DOI10.1081/PDE-200033731zbMath1085.47050MaRDI QIDQ3157916

Frédéric Klopp, Georgi D. Raikov, Jean-Michel Combes, Peter D. Hislop

Publication date: 20 January 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

integrated density of statesrandom Schrödinger operatorLandau Hamiltonian

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random linear operators (47B80)

Related Items (10)

Scale-free unique continuation estimates and applications to random Schrödinger operators ⋮ Wegner estimate for Landau-breather Hamiltonians ⋮ Characterization of the Anderson metal-insulator transition for non ergodic operators and application ⋮ Optimal volume Wegner estimate for random magnetic Laplacians on ${\mathbb {Z}}^2$Z2 ⋮ An optimal Wegner estimate and its application to the global continuity of the integrated density of states for random Schrödinger operators ⋮ Wegner estimate and disorder dependence for Alloy-type Hamiltonians with bounded magnetic potential ⋮ The integrated density of states in strong magnetic fields ⋮ Unicity of the integrated density of states for relativistic Schrödinger operators with regular magnetic fields and singular electric potentials ⋮ Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications ⋮ QUANTIZATION OF THE HALL CONDUCTANCE AND DELOCALIZATION IN ERGODIC LANDAU HAMILTONIANS

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