Flat Bands in Magic-Angle Vibrating Plates

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dc.contributor.author Rosendo López, María
dc.contributor.author Peñaranda, Fernando
dc.contributor.author Christensen, Johan
dc.contributor.author San-José, Pablo
dc.date.accessioned 2020-12-10T11:40:14Z
dc.date.available 2020-12-10T11:40:14Z
dc.date.issued 2020-11-20
dc.identifier.bibliographicCitation Physical Review Letters, (2020), 125(21), 214301, pp. 1-6.
dc.identifier.issn 0031-9007
dc.identifier.uri http://hdl.handle.net/10016/31563
dc.description.abstract Twisted bilayer graphene develops quasiflat bands at specific "magic" interlayer rotation angles through an unconventional mechanism connected to carrier chirality. Quasiflat bands are responsible for a wealth of exotic, correlated-electron phases in the system. In this Letter, we propose a mechanical analog of twisted bilayer graphene made of two vibrating plates patterned with a honeycomb mesh of masses and coupled across a continuum elastic medium. We show that flexural waves in the device exhibit vanishing group velocity and quasiflat bands at magic angles in close correspondence with electrons in graphene models. The strong similarities of spectral structure and spatial eigenmodes in the two systems demonstrate the chiral nature of the mechanical flat bands. We derive analytical expressions that quantitatively connect the mechanical and electronic models, which allow us to predict the parameters required for an experimental realization of our proposal.
dc.description.sponsorship F. P. and P. S.-J. acknowledge support from the Spanish Ministry of Science, Innovation and Universities through Grants No. PCI2018-093026 and No. PGC2018-097018-B-I00 (AEI/FEDER, EU). 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. RYC2015-17156).
dc.format.extent 6
dc.language.iso eng
dc.publisher American Physical Society
dc.rights © 2020 American Physical Society.
dc.subject.other Bilayers Films
dc.subject.other Graphene
dc.subject.other Nanomechanical Devices
dc.subject.other Nonlinear Dynamics
dc.title Flat Bands in Magic-Angle Vibrating Plates
dc.type article
dc.description.status Publicado
dc.subject.eciencia Física
dc.identifier.doi https://doi.org/10.1103/PhysRevLett.125.214301
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. PCI2018-093026
dc.relation.projectID Gobierno de España. PGC2018-097018-B-I00
dc.relation.projectID Gobierno de España. RYC-2015-17156
dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/714577/PHONOMETA
dc.type.version publishedVersion
dc.identifier.publicationfirstpage 1
dc.identifier.publicationissue 21, 214301
dc.identifier.publicationlastpage 6
dc.identifier.publicationtitle PHYSICAL REVIEW LETTERS
dc.identifier.publicationvolume 125
dc.identifier.uxxi AR/0000026414
dc.contributor.funder Ministerio de Economía y Competitividad (España)
dc.contributor.funder European Commission
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