QUANTIZATION OF THE HALL CONDUCTANCE AND DELOCALIZATION IN ERGODIC LANDAU HAMILTONIANS

DOI10.1142/S0129055X09003815zbMath1180.82099arXiv0812.0392OpenAlexW2111446037MaRDI QIDQ3646200

Jeffrey H. Schenker, Abel Klein, François Germinet

Publication date: 19 November 2009

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

Full work available at URL: https://arxiv.org/abs/0812.0392

zbMATH Keywords

quantum Hall effectHall conductancedynamical delocalizationergodic Landau Hamiltoniansrandom Landau Hamiltonians

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) Many-body theory; quantum Hall effect (81V70) Random linear operators (47B80)

Related Items (5)

Power law logarithmic bounds of moments for long range operators in arbitrary dimension ⋮ Characterization of the Anderson metal-insulator transition for non ergodic operators and application ⋮ Quantization of edge currents along magnetic barriers and magnetic guides ⋮ The noncommutative geometry of the Landau Hamiltonian: metric aspects ⋮ SPECTRAL PROPERTIES OF DYNAMICAL LOCALIZATION FOR SCHRÖDINGER OPERATORS

Cites Work

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