Universal metallic and insulating properties of one dimensional Anderson Localization : a numerical Landauer study

TL;DR

This paper investigates the universal metallic and insulating behaviors in one-dimensional Anderson localization using numerical Landauer methods, analyzing how magnetic disorder influences these regimes.

Contribution

It introduces a numerical Landauer approach to study the evolution of universal localization properties under varying magnetic disorder in one-dimensional systems.

Findings

Universal localized and metallic regimes identified.

Magnetic disorder strength affects the transition between regimes.

Numerical method effectively captures localization phenomena.

Abstract

We present results on the Anderson localization in a quasi one-dimensional metallic wire in the presence of magnetic impurities. We focus within the same numerical analysis on both the universal localized and metallic regimes, and we study the evolution of these universal properties as the strength of the magnetic disorder is varied. For this purpose, we use a numerical Landauer approach, and derive the scattering matrix of the wire from electron's Green's function obtained from a recursive algorithm.