Author Correction: Far-field phonon coupling in valley metamaterial circuits (Nature Communications, (2025), 17, 1, (422), 10.1038/s41467-025-67108-6)

Correction to: Nature Communicationshttps://doi.org/10.1038/s41467-025-67108-6, published online 11 December 2025 Following publication of this article, the text has been clarified for notation and internal consistency. The changes do not affect the results or conclusions of the study. Changes have been made in the Results: “Valley metamaterial circuits: three configurations,” “Single-cavity far-field waveguide system,” “Dual-cavity waveguide system” and “Space-controlled sympathetic resonances” sections; Fig. 2c legend; Discussion (first paragraph); Methods: “Experimental Methods,” “Numerical calculations,” and “Theory of the waveguide-cavity dynamics” sections. For comparison, the original, uncorrected article is available as Supplementary Information accompanying this amendment. The changes are made in the HTML and PDF versions of the article.