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Scaling for level statistics from self-consistent theory of localization

  • Order, Disorder, and Phase Transition in Condensed System
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Abstract

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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Authors and Affiliations

  1. Kapitza Institute for Physical Problems, Moscow, 119334, Russia

    I. M. Suslov

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  1. I. M. Suslov
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Correspondence to I. M. Suslov.

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Original Russian Text © I.M. Suslov, 2014, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2014, Vol. 145, No. 6, pp. 1031–1047.

The article was translated by the authors.

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Suslov, I.M. Scaling for level statistics from self-consistent theory of localization. J. Exp. Theor. Phys. 118, 909–923 (2014). https://doi.org/10.1134/S1063776114050082

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  • DOI: https://doi.org/10.1134/S1063776114050082

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