Anderson localization for random magnetic Laplacian on Z²

2011/01/11 by László Erdős, Erdos, Laszlo, David Hasler +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1101.2139

openalex publication_date 2011/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a two dimensional magnetic Schroedinger 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.

Citations

• An Invitation to Random Schroedinger operators

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