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 |
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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. |
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ISSN: | 1063-7761 1090-6509 |
DOI: | 10.1134/S1063776114050082 |