Density of states in disordered one-dimensional systems
- 1 June 1979
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 12 (6) , 863-870
- https://doi.org/10.1088/0305-4470/12/6/017
Abstract
The variational approximations to the partition function of a particle interacting with systems of disordered scatterers, presented by Luttinger (1976) for uniformly random systems and generalised by the author to systems with arbitrary positional disorder, are used to carry out explicit calculations on one-dimensional model systems. The models consists of uniform random configurations of delta functions with a given density which are constrained by a two-particle correlation preventing a closer approach than specified for any pair. The results are used to calculate approximations to the densities of states for such systems with reasonable and interesting results.Keywords
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