The localization transition on the Bethe lattice
- 1 January 1983
- journal article
- Published by EDP Sciences in Journal de Physique Lettres
- Vol. 44 (11) , 411-414
- https://doi.org/10.1051/jphyslet:019830044011041100
Abstract
We present exact results concerning the localization transition on the Bethe lattice. In a certain number of situations, we prove the existence of a transition from extended to localized regime when varying the energy or the disorder. The density of states is analytic at the mobility edges and the exponent ν governing the divergence of the localization length is found equal to 1Keywords
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