Sharp bounds for the integrated density of states of a strongly disordered 1D Anderson–Bernoulli model

DOI10.1063/5.0037707zbMath1473.82016arXiv2011.04756OpenAlexW3186977892MaRDI QIDQ5009736

Daniel Sánchez-Mendoza

Publication date: 5 August 2021

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

Full work available at URL: https://arxiv.org/abs/2011.04756

zbMATH Keywords

random Schrödinger operatordisorderAnderson-Bernoulli model

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (1)

The integrated density of states of the 1D discrete Anderson–Bernoulli model at rational energies

Cites Work

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• The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality
• Remark on the continuity of the density of states of ergodic finite difference operators
• Anomalies in the one-dimensional Anderson model at weak disorder
• Delocalization in random polymer models
• Lifschitz tails for random Schrödinger operator in Bernoulli distributed potentials

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