Absence of point spectrum for the self-dual extended Harper's model

TL;DR

This paper provides a straightforward proof that the self-dual extended Harper's model lacks point spectrum, offering a sharper result in the isotropic self-dual case than previous work.

Contribution

It introduces a simplified proof technique that improves the known results on the spectral properties of the self-dual extended Harper's model.

Findings

Proves absence of point spectrum in the self-dual regime.

Sharpens previous spectral results in the isotropic case.

Simplifies the proof of spectral properties.

Abstract

We give a simple proof of absence of point spectrum for the self-dual extended Harper's model. We get a sharp result which improves that of Avila-Jitomirskaya-Marx in the isotropic self-dual regime.