Character of eigenstates of the 3D disordered Anderson Hamiltonian

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.

7 pages, 9 figures, resubmitted to Physical Review B

References in corpus (5)

• Dimensional dependence of the metal-insulator transition
• A semiclassical theory of the Anderson transition
• Universality of the metal-insulator transition in three-dimensional disordered systems
• The geometrically-averaged density of states as a measure of localization
• Generalized DMPK equation for strongly localized regime - numerical solution

Cited by in corpus (2)

• Anderson transition on the Cayley tree as a traveling wave critical point for various probability distributions
• Transport in the 3-dimensional Anderson model: an analysis of the dynamics on scales below the localization length