ABSENCE OF TRANSPORT IN ANDERSON LOCALIZATION

DOI10.1142/S0129055X02001211zbMath1027.82038OpenAlexW2029188734MaRDI QIDQ4420439

Fumihiko Nakano

Publication date: 17 August 2003

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

Full work available at URL: https://doi.org/10.1142/s0129055x02001211

zbMATH Keywords

charge transportHall conductivitytight-binding Anderson model

Mathematics Subject Classification ID

Random linear operators (47B80) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (2)

Random magnetic fields on line graphs ⋮ Linear response theory for magnetic Schrödinger operators in disordered media

Cites Work

• Schrödinger operators with an electric field and random or deterministic potentials
• A new proof of localization in the Anderson tight binding model
• Absence of diffusion in the Anderson tight binding model for large disorder or low energy
• Sur le spectre des opérateurs aux différences finies aléatoires
• A kinetic theory for quantum transport in aperiodic media
• Localization at large disorder and at extreme energies: an elementary derivation
• Charge deficiency, charge transport and comparison of dimensions
• Trace class perturbations and the absence of absolutely continuous spectra
• Absence of transport under a slowly varying potential in disordered systems
• Anomalous Transport: A Mathematical Framework
• Localization bounds for an electron gas
• The noncommutative geometry of the quantum Hall effect
• LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS
• Finite-volume fractional-moment criteria for Anderson localization

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