Simultaneous multi-band valley-protected topological edge states of shear vertical wave in two-dimensional phononic crystals with veins
Crossref DOI link: https://doi.org/10.1038/s41598-017-10857-2
Published Online: 2017-09-04
Update policy: https://doi.org/10.1007/springer_crossmark_policy
Huo, Shao-yong
Chen, Jiu-jiu
Huang, Hong-bo
Huang, Guo-liang
Text and Data Mining valid from 2017-09-04
Version of Record valid from 2017-09-04
Article History
Received: 29 June 2017
Accepted: 15 August 2017
First Online: 4 September 2017
Competing Interests
: The authors declare that they have no competing interests.