Valley Hall phases in kagome lattices

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dc.contributor.author Lera, Natalia
dc.contributor.author Torrent, Daniel
dc.contributor.author San-José, Pablo
dc.contributor.author Christensen, Johan
dc.contributor.author Ávarez, J.V.
dc.date.accessioned 2020-12-15T12:11:05Z
dc.date.available 2020-12-15T12:11:05Z
dc.date.issued 2019-04-01
dc.identifier.bibliographicCitation Physical Review B, (2019), 99(13), 134102, [16] p.
dc.identifier.issn 2469-9950
dc.identifier.uri http://hdl.handle.net/10016/31600
dc.description.abstract 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.
dc.description.sponsorship N.L and J.V.A. acknowledges financial support from MINECO grant FIS2015-64886-C5-5-P. N.L. acknowledges financial support from the Spanish Ministry of Economy and Competitiveness, through The María de Maeztu Programme for Units of Excellence in R&D (MDM-2014-0377), and also hospitality from the Universitat Jaume I in Castellon where part of this work was done. D.T. acknowledges financial support through the “Ramón y Cajal” fellowship under grant number RYC-2016-21188. P.S.-J. acknowledges financial support from the Spanish Ministry of Economy and Competitiveness through Grant No. FIS2015-65706-P (MINECO/FEDER). J.C. acknowledges the support from the European Research Council (ERC) through the Starting Grant No. 714577 PHONOMETA and from the MINECO through a Ramón y Cajal grant (Grant No. RYC-2015-17156).
dc.format.extent 16
dc.language.iso eng
dc.publisher American Physical Society
dc.rights ©2019 American Physical Society.
dc.subject.other Mechanical and acoustical properties
dc.subject.other Scattering theory
dc.subject.other Topological insulators
dc.subject.other Kagome lattice
dc.title Valley Hall phases in kagome lattices
dc.type article
dc.description.status Publicado
dc.subject.eciencia Física
dc.identifier.doi https://doi.org/10.1103/PhysRevB.99.134102
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. MDM-2014-0377
dc.relation.projectID Gobierno de España. RYC-2016-21188
dc.relation.projectID Comunidad de Madrid. FIS2015-65706-P
dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/714577/PHONOMETA
dc.relation.projectID Gobierno de España. RYC-2015-17156
dc.relation.projectID Gobierno de España. FIS2015-64886-C5-5-P
dc.type.version publishedVersion
dc.identifier.publicationfirstpage 1
dc.identifier.publicationissue 13, 134102
dc.identifier.publicationlastpage 16
dc.identifier.publicationtitle PHYSICAL REVIEW B
dc.identifier.publicationvolume 99
dc.identifier.uxxi AR/0000023498
dc.contributor.funder European Commission
dc.contributor.funder Ministerio de Economía y Competitividad (España)
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