Correction to: Nature Communications https://doi.org/10.1038/s41467-024-51367-w, published online 19 August 2024

In this article the following paragraph was duplicated, ‘First, we derive the phase diagram by evaluating the correction to the Xa phonon energy ω2 a via Eq. (15). For temperatures T ω, scaling arguments imply that to leading order χ0 aðω,TÞ Tð32ΔΦÞ c + Oðω = TÞ with some constant c 42, and from (15) it follows that the phonon frequency (pole of Ga(ω)) is shifted downwards.’ The original article has now been updated.