One-dimensional wave equations in disordered media
- 1 January 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (1) , 25-42
- https://doi.org/10.1088/0305-4470/16/1/012
Abstract
The authors prove that several one-dimensional wave equations for electrons, phonons and light propagation have all their states or proper modes exponentially localised when the medium is disordered. Vanishing of the DC conductivity is obtained for models describing electronic motion. The exact spectrum of these models is also obtained explicitly. Bounds on the localisation length are exhibited in some cases.Keywords
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