Critical level statistics and anomalously localized states at the Anderson transition

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.

arXiv comment8 pages, 5 figures

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Cited by in corpus (5)

• Wave function statistics at the symplectic 2D Anderson transition: bulk properties
• Multifractality of random eigenfunctions and generalization of Jarzynski equality
• Topological delocalization in the completely disordered two-dimensional quantum walk
• Spin-mixing-tunneling network model for Anderson transitions in two-dimensional disordered spinful electrons
• Spatial Structures of Anomalously Localized States in Tail Regions at the Anderson Transition