Localization and Spectral Singularities in Random Chains
- 2 August 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 49 (5) , 337-340
- https://doi.org/10.1103/physrevlett.49.337
Abstract
This paper reports consideration of the Hamiltonian for tight binding in one dimension with off-diagonal disorder of two forms, corresponding to Dyson's types I and II. The density of states and localization function at the center of the band are found by perturbation theory and a scaling argument. The distinction between the two types of disorder is clearly drawn, and new singularities in the Green's function pertinent to the problem of random classical diffusion are predicted.Keywords
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