Dual-band valley-protected topological edge states in graphene-like phononic crystals with waveguideQianlong Kang, Fujia Chen, Hongyong Mao, Keya Zhou, Kai Guo, Shutian Liu and Zhongyi GuoEur. Phys. J. B, 96 3 (2023) 40DOI: https://doi.org/10.1140/epjb/s10051-023-00503-4