First-principles study of Dirac and Dirac-like cones in phononic and photonic crystals

Handle URI:
http://hdl.handle.net/10754/552860
Title:
First-principles study of Dirac and Dirac-like cones in phononic and photonic crystals
Authors:
Mei, Jun; Wu, Ying ( 0000-0002-7919-1107 ) ; Chan, C. T.; Zhang, Zhao-Qing
Abstract:
By using the k•p method, we propose a first-principles theory to study the linear dispersions in phononic and photonic crystals. The theory reveals that only those linear dispersions created by doubly degenerate states can be described by a reduced Hamiltonian that can be mapped into the Dirac Hamiltonian and possess a Berry phase of -π. Linear dispersions created by triply degenerate states cannot be mapped into the Dirac Hamiltonian and carry no Berry phase, and, therefore should be called Dirac-like cones. Our theory is capable of predicting accurately the linear slopes of Dirac and Dirac-like cones at various symmetry points in a Brillouin zone, independent of frequency and lattice structure. © 2012 American Physical Society.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
First-principles study of Dirac and Dirac-like cones in phononic and photonic crystals 2012, 86 (3) Physical Review B
Journal:
Physical Review B
Issue Date:
24-Jul-2012
DOI:
10.1103/PhysRevB.86.035141
Type:
Article
ISSN:
1098-0121; 1550-235X
Additional Links:
http://link.aps.org/doi/10.1103/PhysRevB.86.035141; http://arxiv.org/abs/1202.1430
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorMei, Junen
dc.contributor.authorWu, Yingen
dc.contributor.authorChan, C. T.en
dc.contributor.authorZhang, Zhao-Qingen
dc.date.accessioned2015-05-14T12:06:41Zen
dc.date.available2015-05-14T12:06:41Zen
dc.date.issued2012-07-24en
dc.identifier.citationFirst-principles study of Dirac and Dirac-like cones in phononic and photonic crystals 2012, 86 (3) Physical Review Ben
dc.identifier.issn1098-0121en
dc.identifier.issn1550-235Xen
dc.identifier.doi10.1103/PhysRevB.86.035141en
dc.identifier.urihttp://hdl.handle.net/10754/552860en
dc.description.abstractBy using the k•p method, we propose a first-principles theory to study the linear dispersions in phononic and photonic crystals. The theory reveals that only those linear dispersions created by doubly degenerate states can be described by a reduced Hamiltonian that can be mapped into the Dirac Hamiltonian and possess a Berry phase of -π. Linear dispersions created by triply degenerate states cannot be mapped into the Dirac Hamiltonian and carry no Berry phase, and, therefore should be called Dirac-like cones. Our theory is capable of predicting accurately the linear slopes of Dirac and Dirac-like cones at various symmetry points in a Brillouin zone, independent of frequency and lattice structure. © 2012 American Physical Society.en
dc.relation.urlhttp://link.aps.org/doi/10.1103/PhysRevB.86.035141en
dc.relation.urlhttp://arxiv.org/abs/1202.1430en
dc.rightsArchived with thanks to Physical Review Ben
dc.titleFirst-principles study of Dirac and Dirac-like cones in phononic and photonic crystalsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalPhysical Review Ben
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionDepartment of Physics, South China University of Technology, Guangzhou 510641, Chinaen
dc.contributor.institutionDepartment of Physics and William Mong Institute of Nano Science and Technology, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kongen
dc.identifier.arxividarXiv:1202.1430en
kaust.authorWu, Yingen
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