Majorana-like Zero Modes in Kekulé Distorted Sonic Lattices

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dc.contributor.author Gao, Penglin
dc.contributor.author Torrent, Daniel
dc.contributor.author Cervera, Francisco
dc.contributor.author San-José, Pablo
dc.contributor.author Sánchez Dehesa, José
dc.contributor.author Christensen, Johan
dc.date.accessioned 2020-12-11T14:06:12Z
dc.date.available 2020-12-11T14:06:12Z
dc.date.issued 2019-11-08
dc.identifier.bibliographicCitation Physical Review Letters, (2019), 123(19), 196601, pp.: 1-5.
dc.identifier.issn 0031-9007
dc.identifier.uri http://hdl.handle.net/10016/31582
dc.description.abstract Topological phases have recently been realized in bosonic systems. The associated boundary modes between regions of distinct topology have been used to demonstrate robust waveguiding, protected from defects by the topology of the surrounding bulk. A related type of topologically protected state that is not propagating but is bound to a defect has not been demonstrated to date in a bosonic setting. Here we demonstrate numerically and experimentally that an acoustic mode can be topologically bound to a vortex fabricated in a two-dimensional, Kekulé-distorted triangular acoustic lattice. Such lattice realizes an acoustic analog of the Jackiw-Rossi mechanism that topologically binds a bound state in a p-wave superconductor vortex. The acoustic bound state is thus a bosonic analog of a Majorana bound state, where the two valleys replace particle and hole components. We numerically show that it is topologically protected against arbitrary symmetry-preserving local perturbations, and remains pinned to the Dirac frequency of the unperturbed lattice regardless of parameter variations. We demonstrate our prediction experimentally by 3D printing the vortex pattern in a plastic matrix and measuring the spectrum of the acoustic response of the device. Despite viscothermal losses, the measured topological resonance remains robust, with its frequency closely matching our simulations.
dc.description.sponsorship J. C. acknowledges support from the European Research Council (ERC) through the Starting Grant No. 714577 PHONOMETA and from the MINECO through a Ramón y Cajal grant (No. RYC-2015-17156). J. S.-D. acknowledges support from the Ministerio de Economía y Competitividad of the Spanish Government and the European Union “Fondo Europeo de Desarrollo Regional (FEDER)” through Project No. TEC2014-53088-C3-1-R. P. S.-J. acknowledges support from MINECO/FEDER under Grant No. FIS2015-65706-P. D. T. acknowledges financial support through the Ramón y Cajal fellowship under Grant No. RYC-2016-21188 and to the Ministry of Science, Innovation and Universities through Project No. RTI2018- 093921-A-C42.
dc.format.extent 5
dc.language.iso eng
dc.publisher American Physical Society
dc.rights © 2019 American Physical Society
dc.subject.other Majorana bound states
dc.subject.other Topological defects
dc.title Majorana-like Zero Modes in Kekulé Distorted Sonic Lattices
dc.type article
dc.description.status Publicado
dc.subject.eciencia Matemáticas
dc.identifier.doi https://doi.org/10.1103/PhysRevLett.123.196601
dc.rights.accessRights openAccess
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. TEC2014-53088-C3-1-R
dc.relation.projectID Gobierno de España. FIS2015-65706-P
dc.relation.projectID Gobierno de España. RYC-2016-21188
dc.relation.projectID Gobierno de España. RTI2018- 093921-A-C42
dc.type.version publishedVersion
dc.identifier.publicationfirstpage 1
dc.identifier.publicationissue 19,196601
dc.identifier.publicationlastpage 5
dc.identifier.publicationtitle PHYSICAL REVIEW LETTERS
dc.identifier.publicationvolume 123
dc.identifier.uxxi AR/0000024452
dc.contributor.funder Ministerio de Economía y Competitividad (España)
dc.contributor.funder European Commission
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