2024-03-29T08:35:14Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1824322023-03-23T08:35:31Zcom_10234_2507com_10234_9com_10234_43662col_10234_6973col_10234_43643
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Lera, Natalia
author
Torrent, Daniel
author
San-Jose, Pablo
author
Christensen, J.
author
Álvarez, J. V.
author
2019
We report the finding of the analogous valley Hall effect in phononic systems arising from mirror symmetry
breaking, in addition to spatial inversion symmetry breaking. We study topological phases of plates and
spring-mass models in kagome and modified kagome arrangements. By breaking the inversion symmetry it
is well known that a defined valley Chern number arises. We also show that effectively, breaking the mirror
symmetry leads to the same topological invariant. Based on the bulk-edge correspondence principle, protected
edge states appear at interfaces between two lattices with different valley Chern numbers. By means of a plane
wave expansion method and the multiple scattering theory for periodic and finite systems, respectively, we
computed the Berry curvature, the band inversion, mode shapes, and edge modes in plate systems. We also
find that appropriate multipoint excitations in finite system gives rise to propagating waves along a one-sided
path only
LERA, Natalia, et al. Valley Hall phases in kagome lattices. Physical Review B, 2019, vol. 99, no 13, p. 134102.
2469-9950
2469-9969
http://hdl.handle.net/10234/182432
https://doi.org/10.1103/PhysRevB.99.134102
Valley Hall phases in kagome lattices