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Critical level statistics and anomalously localized states at the Anderson transition

H. Obuse·K. Yakubo
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Abstract

We study the level-spacing distribution function $P(s)$ at the Anderson transition by paying attention to anomalously localized states (ALS) which contribute to statistical properties at the critical point. It is found that the distribution $P(s)$ for level pairs of ALS coincides with that for pairs of typical multifractal states. This implies that ALS do not affect the shape of the critical level-spacing distribution function. We also show that the insensitivity of $P(s)$ to ALS is a consequence of multifractality in tail structures of ALS.

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H. Obuse, K. Yakubo. 2005-01-07. Critical level statistics and anomalously localized states at the Anderson transition. https://doi.org/10.1103/physrevb.71.035102

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