Correction to: Stability of charge density waves in electron-phonon systems.

This document is a correction notice for an article titled "Stability of charge density waves in electron-phonon systems" published in the Journal of Statistical Physics. The notice includes two corrections that were overlooked during the refinement of the manuscript. The first correction addresses an error in the definition of the staggered density, and the second correction modifies Theorem 1.1, which is a corollary of the main theorem of the paper. The corrections provide accurate and updated information for readers conducting research on this topic. The text discusses staggered densities and magnetic order in a specific system. It states that no magnetic order exists in the system, and provides equations and graphs to support this claim. The text also mentions the exponential decay of the two-point correlation function for local observables. The author declares no financial interests, and the publisher remains neutral. No datasets were generated or analyzed in the study. [Extracted from the article]