Lifshitz tail for 2D discrete Schrödinger operator with random magnetic field.

DOI10.1007/PL00001016zbMath1079.82537OpenAlexW2087201515MaRDI QIDQ5927935

Shu Nakamura

Publication date: 25 March 2001

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001016

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) PDEs with randomness, stochastic partial differential equations (35R60) Difference operators (39A70) Random linear operators (47B80)

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Internal Lifshits tails for random magnetic Schrödinger operators ⋮ Lifshitz tails for Anderson models with sign-indefinite single-site potentials ⋮ A note on Anderson localization for the random hopping model ⋮ Asymptotics of negative exponential moments for annealed Brownian motion in a renormalized Poisson potential ⋮ Wegner estimate and Anderson localization for random magnetic fields ⋮ Optimal volume Wegner estimate for random magnetic Laplacians on ${\mathbb {Z}}^2$Z2 ⋮ Schrödinger operators with random \(\delta \) magnetic fields ⋮ Wegner estimate for random magnetic Laplacian on \(\mathbb Z^2\) ⋮ Spectral extrema and Lifshitz tails for non-monotonous alloy type models ⋮ Localization on quantum graphs with random edge lengths ⋮ 2D random magnetic Laplacian with white noise magnetic field ⋮ A remark on the Lifshitz tail for Schrödinger operator with random magnetic field

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