Anderson localization at band edges for random magnetic fields

DOI10.1007/s10955-012-0445-6zbMath1245.82028arXiv1103.3744OpenAlexW3104287244MaRDI QIDQ2429399

László Erdős, David Hasler

Publication date: 27 April 2012

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

Full work available at URL: https://arxiv.org/abs/1103.3744

zbMATH Keywords

random Schrödinger operatorAnderson localizationmagnetic Schrödinger operator

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of magnetic materials (82D40)

Related Items (9)

Quantum Hamiltonians with weak random abstract perturbation. I: Initial length scale estimate ⋮ Wegner estimates, Lifshitz tails, and Anderson localization for Gaussian random magnetic fields ⋮ Stochastic analysis and random Schrödinger operators ⋮ Quantum Hamiltonians with weak random abstract perturbation. II: Localization in the expanded spectrum ⋮ Low lying eigenvalues of randomly curved quantum waveguides ⋮ Schrödinger operators with random \(\delta \) magnetic fields ⋮ Wegner estimate for Gaussian random magnetic fields ⋮ Discrete Schrödinger Operators with Random Alloy-type Potential ⋮ Estimates of initial scales for layers with small random negative-definite perturbations

Cites Work

• Unnamed Item
• Unnamed Item
• Wegner estimate and Anderson localization for random magnetic fields
• A trace formula and high-energy spectral asymptotics for the perturbed Landau Hamiltonian
• Localization for random Schrödinger operators with correlated potentials
• Wegner estimate and localization for random magnetic fields
• Anderson localization for random Schrödinger operators with long range interactions
• Microlocalization, percolation, and Anderson localization for the magnetic Schrödinger operator with a random potential
• Anderson localization for 2D discrete Schrödinger operators with random magnetic fields
• Explicit finite volume criteria for localization in continuous random media and applications
• The integrated density of states for some random operators with nonsign definite potentials
• Landau Hamiltonians with random potentials: Localization and the density of states
• Localization for Schrodinger operators with random vector potentials
• Spectral localization by Gaussian random potentials in multi-dimensional continuous space.
• Caught by disorder. Bound states in random media

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