Scaling for level statistics from self-consistent theory of localization

Accepting validity of self-consistent theory of localization by Vollhardt and Wölfle, we derive the relations of finite-size scaling for different parameters characterizing the level statistics. The obtained results are compared with the extensive numerical material for space dimensions d = 2, 3, 4....

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Veröffentlicht in:Journal of experimental and theoretical physics 2014-06, Vol.118 (6), p.909-923
1. Verfasser: Suslov, I. M.
Format: Artikel
Sprache:eng
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Zusammenfassung:Accepting validity of self-consistent theory of localization by Vollhardt and Wölfle, we derive the relations of finite-size scaling for different parameters characterizing the level statistics. The obtained results are compared with the extensive numerical material for space dimensions d = 2, 3, 4. On the level of raw data, the results of numerical experiments are compatible with the self-consistent theory, while the opposite statements of the original papers are related with ambiguity of interpretation and existence of small parameters of the Ginzburg number type.
ISSN:1063-7761
1090-6509
DOI:10.1134/S1063776114050082