Nature CommunicationsAuthor Correction: Far-field phonon coupling in valley metamaterial circuitsYao HuangWeitao YuanZhiwei GuoQi WangYuxuan ZhangYueting ZhouYongdong PanJia ZhouOliver B. WrightZheng ZhongJinfeng Zhao2026-04-27Full textDOI https://doi.org/10.1038/s41467-026-71465-1