Character of eigenstates of the 3D disordered Anderson Hamiltonian
J. Brndiar, P. Markos
TL;DR
This paper numerically investigates the nature of electron eigenstates in the 3D disordered Anderson model, confirming the absence of localized states below the mobility edge and metallic states in the band tail.
Contribution
It provides a detailed numerical analysis of eigenstate characteristics, including inverse participation ratio and correlation functions, clarifying the localization properties in the 3D Anderson model.
Findings
No localized states below the mobility edge
No metallic states in the band tail
Finite size effects influence the analysis
Abstract
We study numerically the character of electron eigenstates of the three dimensional disordered Anderson model. Analysis of the statistics of inverse participation ratio as well as numerical evaluation of the electron-hole correlation function confirm that there are no localized states below the mobility edge, as well as no metallic state in the tail of the conductive band. We discuss also finite size effects observed in the analysis of all the discussed quantities.
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