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Wegner Estimate for Random Magnetic Laplacian on (2012)

Springer

In: Annales Henri Poincare

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Publication Date: 2012-04-14

Description: We consider a two-dimensional magnetic Schrödinger operator on a square lattice with a spatially stationary random magnetic field. We prove Anderson localization near the spectral edges. We use a new approach to establish a Wegner estimate that does not rely on the monotonicity of the energy on the random parameters. Content Type Journal Article Pages 1-13 DOI 10.1007/s00023-012-0177-9 Authors László Erdős, Institute of Mathematics, University of Munich, Theresienstr. 39, 80333 Munich, Germany David Hasler, Institute of Mathematics, University of Munich, Theresienstr. 39, 80333 Munich, Germany Journal Annales Henri Poincare Online ISSN 1424-0661 Print ISSN 1424-0637

Print ISSN: 1424-0637

Electronic ISSN: 1424-0661

Topics: Mathematics , Physics

Published by Springer

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