Critical Level Statistics for Anomalously Localized States at the Anderson Transition Point and Their Multifractality

摘要

By paying attention to anomalously localized states (ALS), we study the level-spacing distribution function P(s) at the Anderson transition. It is found that the distribution P(s) for ALS level pairs coincides with that for pairs of typical multifractal states. We also show that this remarkable result is a consequence of multifractality in tail structures of ALS.