Spatial Structures of Anomalously Localized States in Tail Regions at the Anderson Transition

TL;DR

This paper investigates the spatial structures of anomalously localized states at the Anderson transition in 2D symplectic systems, revealing multifractal properties in their tail regions consistent with typical wavefunctions.

Contribution

It introduces a multifractal analysis focused on tail regions of ALS, demonstrating their multifractal nature and universality class consistency.

Findings

Tail regions of ALS are multifractal.

Multifractal exponents match those of typical wavefunctions.

Tail structures exhibit universality in the symplectic class.

Abstract

We study spatial structures of anomalously localized states (ALS) in tail regions at the critical point of the Anderson transition in the two-dimensional symplectic class. In order to examine tail structures of ALS, we apply the multifractal analysis only for the tail region of ALS and compare with the whole structure. It is found that the amplitude distribution in the tail region of ALS is multifractal and values of exponents characterizing multifractality are the same with those for typical multifractal wavefunctions in this universality class.