Infinite degeneracy for a Landau Hamiltonian with Poisson impurities

DOI10.1063/1.532214zbMath0903.60088OpenAlexW1963740960MaRDI QIDQ4384781

Mike Scrowston, Joseph V. Pulé

Publication date: 5 January 1999

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

Full work available at URL: https://doi.org/10.1063/1.532214

zbMATH Keywords

Schrödinger operatorrandom potentialLandau level

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items (2)

The spectrum of a magnetic Schrödinger operator with randomly located delta impurities ⋮ Upper bounds on the density of states of single Landau levels broadened by Gaussian random potentials

Cites Work

• The quantum Hall effect for electrons in a random potential
• The nature of the spectrum for a Landau Hamiltonian with delta impurities
• Microlocalization, percolation, and Anderson localization for the magnetic Schrödinger operator with a random potential
• Landau Hamiltonians with random potentials: Localization and the density of states
• Electron states in a magnetic field and random impurity potential: use of the theory of entire functions
• Localization in single Landau bands

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