Characterisation of Anderson localisation using distributions
A. Alvermann, G. Schubert, A. Weisse, F. X. Bronold, H. Fehske
TL;DR
This paper investigates the use of distribution-based numerical methods to study Anderson localisation, demonstrating that exponential localisation on Bethe lattices aligns with known 3D hypercubic lattice results.
Contribution
It introduces a distribution-based approach to analyze Anderson localisation, bridging Bethe lattice models with 3D hypercubic lattice phenomena.
Findings
Distribution methods effectively capture localisation properties.
Bethe lattice results agree with 3D hypercubic lattice findings.
Exponential localisation is well-characterized by the proposed approach.
Abstract
We examine the use of distributions in numerical treatments of Anderson localisation and supply evidence that treating exponential localisation on Bethe lattices recovers the overall picture known from hypercubic lattices in 3d.
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