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