Localization in single Landau bands
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Publication:5284432
DOI10.1063/1.531469zbMath0865.35094OpenAlexW2088293374MaRDI QIDQ5284432
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Publication date: 10 July 1997
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://infoscience.epfl.ch/record/100822/files/localisationmathphys.pdf
General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items (7)
Microlocalization, percolation, and Anderson localization for the magnetic Schrödinger operator with a random potential ⋮ The spectrum of a magnetic Schrödinger operator with randomly located delta impurities ⋮ Infinite degeneracy for a Landau Hamiltonian with Poisson impurities ⋮ Widths of the Hall conductance plateaus ⋮ Upper bounds on the density of states of single Landau levels broadened by Gaussian random potentials ⋮ The nature of the spectrum for a Landau Hamiltonian with delta impurities ⋮ Towards localisation by Gaussian random potentials in multi-dimensional continuous space
Cites Work
- Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
- On absence of diffusion near the bottom of the spectrum for a random Schrödinger operator on \(L^ 2({\mathbb{R}}^ v)^+\)
- The quantum Hall effect for electrons in a random potential
- A new proof of localization in the Anderson tight binding model
- Localization in general one-dimensional random systems. II: Continuum Schrödinger operators
- Sur le spectre des opérateurs aux différences finies aléatoires
- Density of states of random Schrödinger operators with a uniform magnetic field
- Localization for some continuous, random Hamiltonians in \(d\)-dimensions
- Localization for random and quasiperiodic potentials.
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