Accidental degeneracy of double Dirac cones in a phononic crystal

Handle URI:
http://hdl.handle.net/10754/334574
Title:
Accidental degeneracy of double Dirac cones in a phononic crystal
Authors:
Chen, Ze-Guo; Ni, Xu; Wu, Ying ( 0000-0002-7919-1107 ) ; He, Cheng; Sun, Xiao-Chen; Zheng, Li-Yang; Lu, Ming-Hui; Chen, Yan-Feng
Abstract:
Artificial honeycomb lattices with Dirac cone dispersion provide a macroscopic platform to study the massless Dirac quasiparticles and their novel geometric phases. In this paper, a quadruple-degenerate state is achieved at the center of the Brillouin zone in a two-dimensional honeycomb lattice phononic crystal, which is a result of accidental degeneracy of two double-degenerate states. In the vicinity of the quadruple-degenerate state, the dispersion relation is linear. Such quadruple degeneracy is analyzed by rigorous representation theory of groups. Using method, a reduced Hamiltonian is obtained to describe the linear Dirac dispersion relations of this quadruple-degenerate state, which is well consistent with the simulation results. Near such accidental degeneracy, we observe some unique properties in wave propagating, such as defect-insensitive propagating character and the Talbot effect.
KAUST Department:
Computer Science Program
Citation:
Chen Z-G, Ni X, Wu Y, He C, Sun X-C, et al. (2014) Accidental degeneracy of double Dirac cones in a phononic crystal. Sci Rep 4. doi:10.1038/srep04613.
Publisher:
Nature Publishing Group
Journal:
Scientific Reports
Issue Date:
9-Apr-2014
DOI:
10.1038/srep04613
PubMed ID:
24714512
PubMed Central ID:
PMC4070013
ARXIV:
arXiv:1402.2154
Type:
Article
ISSN:
20452322
Additional Links:
http://arxiv.org/abs/1402.2154
Appears in Collections:
Articles; Computer Science Program

Full metadata record

DC FieldValue Language
dc.contributor.authorChen, Ze-Guoen
dc.contributor.authorNi, Xuen
dc.contributor.authorWu, Yingen
dc.contributor.authorHe, Chengen
dc.contributor.authorSun, Xiao-Chenen
dc.contributor.authorZheng, Li-Yangen
dc.contributor.authorLu, Ming-Huien
dc.contributor.authorChen, Yan-Fengen
dc.date.accessioned2014-11-11T14:30:17Z-
dc.date.available2014-11-11T14:30:17Z-
dc.date.issued2014-04-09en
dc.identifier.citationChen Z-G, Ni X, Wu Y, He C, Sun X-C, et al. (2014) Accidental degeneracy of double Dirac cones in a phononic crystal. Sci Rep 4. doi:10.1038/srep04613.en
dc.identifier.issn20452322en
dc.identifier.pmid24714512en
dc.identifier.doi10.1038/srep04613en
dc.identifier.urihttp://hdl.handle.net/10754/334574en
dc.description.abstractArtificial honeycomb lattices with Dirac cone dispersion provide a macroscopic platform to study the massless Dirac quasiparticles and their novel geometric phases. In this paper, a quadruple-degenerate state is achieved at the center of the Brillouin zone in a two-dimensional honeycomb lattice phononic crystal, which is a result of accidental degeneracy of two double-degenerate states. In the vicinity of the quadruple-degenerate state, the dispersion relation is linear. Such quadruple degeneracy is analyzed by rigorous representation theory of groups. Using method, a reduced Hamiltonian is obtained to describe the linear Dirac dispersion relations of this quadruple-degenerate state, which is well consistent with the simulation results. Near such accidental degeneracy, we observe some unique properties in wave propagating, such as defect-insensitive propagating character and the Talbot effect.en
dc.language.isoenen
dc.publisherNature Publishing Groupen
dc.relation.urlhttp://arxiv.org/abs/1402.2154en
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. The images in this article are included in the article's Creative Commons license, unless indicated otherwise in the image credit; if the image is not included under the Creative Commons license, users will need to obtain permission from the license holder in order to reproduce the image. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-nd/3.0/en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/en
dc.titleAccidental degeneracy of double Dirac cones in a phononic crystalen
dc.typeArticleen
dc.contributor.departmentComputer Science Programen
dc.identifier.journalScientific Reportsen
dc.identifier.pmcidPMC4070013en
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionNatl. Laboratory of Solid State Microstructures and Department of Materials Science and Engineering, Nanjing University, Nanjing 210093, Chinaen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
dc.identifier.arxividarXiv:1402.2154en
kaust.authorWu, Yingen

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