Critical level statistics and anomalously localized states at the Anderson transition

Details Critical level statistics and anomalously localized states at the Anderson transition Critical level statistics and anomalously localized states at the Anderson transition

2004-05-19

arxiv.org/abs/cond-mat/0405429v3

Phys. Rev. B 71, 035102 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, 5 figures

Scientific paper

10.1103/PhysRevB.71.035102

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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