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arXiv · 1402.2382

Scaling for level statistics from self-consistent theory of localization

I. M. Suslov
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Abstract

Accepting validity of self-consistent theory of localization by Vollhardt and Woelfle, 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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I. M. Suslov. 2014-02-11. Scaling for level statistics from self-consistent theory of localization. https://doi.org/10.1134/s1063776114050082

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