The spectrum of a magnetic Schrödinger operator with randomly located delta impurities

DOI10.1063/1.533272zbMath1034.82026arXivmath-ph/9904031OpenAlexW3100656908MaRDI QIDQ2737970

Mike Scrowston, Joseph V. Pulé

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/math-ph/9904031

zbMATH Keywords

exponential decaypure-point spectruminfinite degeneracyDreifus-Klein theoremrandom Schrödinger operatersingle band approximation

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random linear operators (47B80)

Related Items (2)

SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS ⋮ Upper bounds on the density of states of single Landau levels broadened by Gaussian random potentials

Cites Work

• 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
• Anderson localization for multi-dimensional systems at large disorder or large energy
• The nature of the spectrum for a Landau Hamiltonian with delta impurities
• Localization at large disorder and at extreme energies: an elementary derivation
• Microlocalization, percolation, and Anderson localization for the magnetic Schrödinger operator with a random potential
• Hall conductivity for two-dimensional magnetic systems
• Characterization of the spectrum of the Landau Hamiltonian with delta impurities
• Landau Hamiltonians with random potentials: Localization and the density of states
• The noncommutative geometry of the quantum Hall effect
• Infinite degeneracy for a Landau Hamiltonian with Poisson impurities
• Localization in single Landau bands

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