Log-dimensional bounds for the spectral measure of the disordered Holstein model

TL;DR

This paper establishes Hausdorff log-dimensional bounds on the spectral measure's continuity for the strongly disordered Holstein operator, providing new insights into its spectral properties under disorder.

Contribution

It introduces novel Hausdorff log-dimensional bounds on the spectral measure for the disordered Holstein model, advancing understanding of spectral continuity in disordered quantum systems.

Findings

Spectral measure exhibits Hausdorff log-dimensional bounds.

Disorder induces specific continuity properties in the spectral measure.

Provides mathematical bounds relevant for disordered quantum models.

Abstract

We demonstrate Hausdorff log dimensional bounds on the continuity of the spectral measure of the strongly disordered Holstein operator.