Landau Hamiltonians with unbounded random potentials

DOI10.1023/A:1007390102610zbMath0894.47028MaRDI QIDQ1359683

Jean-Michel Combes, Peter D. Hislop, Jean-Marie Barbaroux

Publication date: 8 September 1998

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

zbMATH Keywords

magnetic fieldlocalizationGaussian distributionsalmost sure existence of pure point spectrumLandau energiestwo-dimensional Landau-Hamiltonian with an unbounded Anderson-like random potentialWegner estimate for the finite-area magnetic Hamiltonians with random potentials

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random linear operators (47B80)

Related Items (5)

Unnamed Item ⋮ EXISTENCE AND UNIQUENESS OF THE INTEGRATED DENSITY OF STATES FOR SCHRÖDINGER OPERATORS WITH MAGNETIC FIELDS AND UNBOUNDED RANDOM POTENTIALS ⋮ QUANTIZATION OF THE HALL CONDUCTANCE AND DELOCALIZATION IN ERGODIC LANDAU HAMILTONIANS ⋮ The nature of the spectrum for a Landau Hamiltonian with delta impurities ⋮ Lifshitz tails for random perturbations of periodic Schrödinger operators

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