Anderson localisation and the recursion method
- 28 August 1978
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 11 (16) , L685-L689
- https://doi.org/10.1088/0022-3719/11/16/002
Abstract
The application of the recursion method to a disordered system is considered. It is argued that in this case the recursion coefficients an and bn will continue to fluctuate at infinity and that these fluctuations are due to localised states. They may be related to the inverse participation ratio of such states. Numerical calculations corroborate this interpretation quantitatively.Keywords
This publication has 9 references indexed in Scilit:
- Study of a mobility edge by a new perturbation theoryPhilosophical Magazine Part B, 1978
- The Anderson localisation problem II. Some detailed numerical resultsJournal of Physics C: Solid State Physics, 1977
- The Anderson localization problem. I. A new numerical approachJournal of Physics C: Solid State Physics, 1977
- Van Hove singularities and continued fraction coefficientsJournal de Physique Lettres, 1977
- Conductivity and mobility edges for two-dimensional disordered systemsJournal of Physics C: Solid State Physics, 1975
- Electronic structure based on the local atomic environment for tight-binding bands. IIJournal of Physics C: Solid State Physics, 1975
- Analysis of spectral densities using modified momentsPhysical Review B, 1974
- The nature of the electronic states in disordered one-dimensional systemsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963
- The theory of impurity conductionAdvances in Physics, 1961