Absolutely Continuous Spectrum for the Anderson Model on Some Tree-like Graphs

TL;DR

This paper proves that the Anderson model on certain tree-like graphs maintains an absolutely continuous spectrum, indicating stable extended states in these disordered systems.

Contribution

It establishes the persistence of absolutely continuous spectrum for the Anderson model on a broad class of tree-like graphs, extending previous results.

Findings

Absolutely continuous spectrum persists on these graphs

Results apply to a general class of tree-like structures

Supports the existence of extended states in disordered systems

Abstract

We prove persistence of absolutely continuous spectrum for the Anderson model on a general class of tree-like graphs.