Smoothness of the density of states in the Anderson model on a one- dimensional strip

DOI10.1016/0003-4916(88)90238-2zbMath0635.60077OpenAlexW2033787553MaRDI QIDQ1097582

Abel Klein, Athanasios Speis

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0003-4916(88)90238-2

zbMATH Keywords

transfer matrix methodGreen's functionAnderson modelanalytic extensionsupersymmetric field theorysupersymmetric replica trick

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items

Supersymmetric measures and maximum principles in the complex domain. Exponential decay of green's functions, Smoothness of integrated density of states of the Anderson model on Bethe lattice in high disorder, Absolutely continuous spectrum for random Schrödinger operators on tree-strips of finite cone type, Regularity of the invariant measure and of the density of states in the one-dimensional Anderson model, Smoothness of the integrated density of states on strips, Anomalies in the one-dimensional Anderson model at weak disorder, Localization for the Anderson model on a strip with singular potentials, Lifshitz tails for acoustic waves in random quantum waveguide, Weak disorder expansions for the Anderson model on a one dimensional strip at the center of the band, Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar tree-strips, A note on the analyticity of density of states, Supersymmetry and density of states of the magnetic schrödinger operator with a random potential revisited, Regularity of the density of states in the Anderson model on a strip for potentials with singular continuous distributions, Absolutely continuous spectrum for random Schrödinger operators on the Bethe strip, Regularity of the density of states of random Schrödinger operators

Cites Work

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• On the density of states of Schrodinger operators with a random potential
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