| Numéro |
J. Phys. Colloques
Volume 42, Numéro C4, Octobre 1981
Proceedings of the Ninth International Conference on Amorphous and Liquid Semiconductors
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|---|---|---|
| Page(s) | C4-47 - C4-49 | |
| DOI | https://doi.org/10.1051/jphyscol:1981406 | |
Proceedings of the Ninth International Conference on Amorphous and Liquid Semiconductors
J. Phys. Colloques 42 (1981) C4-47-C4-49
DOI: 10.1051/jphyscol:1981406
Physics Department, University College, Dublin 4, Ireland.
J. Phys. Colloques 42 (1981) C4-47-C4-49
DOI: 10.1051/jphyscol:1981406
THE DECIMATION METHOD AND ANDERSON LOCALIZATION
D. Weaire and C.J. LambertPhysics Department, University College, Dublin 4, Ireland.
Abstract
We discuss the application of the decimation method to the problem of Anderson localization. In one dimension, the renormalized interactions defined in this method are found to scale towards weak coupling (indicative of localized states) for all values of the strength of (diagonal) disorder. In two dimensions, the interactions appear to scale toward weak/strong coupling for low/high disorder. However the latter results remain puzzling, in that no clear connection between the scaling behaviour and the localization length has emerged.