Group-theory analysis of electrons and phonons in N-layer graphene systems

L. M. Malard; M. H. D. Guimaraes; D. L. Mafra; M. S. C. Mazzoni; A. Jorio

doi:10.1103/PhysRevB.79.125426

Group-theory analysis of electrons and phonons in N-layer graphene systems

L. M. Malard^*, M. H. D. Guimaraes, D. L. Mafra, M. S. C. Mazzoni, A. Jorio

^*Corresponding author for this work

Physics of Nanodevices

Research output: Contribution to journal › Article › Academic › peer-review

155 Citations (Scopus)

Abstract

In this work we study the symmetry properties of electrons and phonons in graphene systems as a function of the number of layers. We derive the selection rules for the electron-radiation interactions and for the electron-phonon interactions at all points in the Brillouin zone. By considering these selection rules, we address the double-resonance Raman-scattering process. The monolayer and bilayer graphenes in the presence of an applied electric field are also discussed.

Original language	English
Article number	125426
Number of pages	8
Journal	Physical Review B: Condensed Matter and Materials Physics
Volume	79
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevB.79.125426
Publication status	Published - Mar-2009

Keywords

Brillouin zones
carbon
electron-phonon interactions
group theory
nanostructured materials
Raman spectra
BILAYER GRAPHENE
RAMAN-SCATTERING
BAND-STRUCTURE
GRAPHITE
FILMS

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title = "Group-theory analysis of electrons and phonons in N-layer graphene systems",

abstract = "In this work we study the symmetry properties of electrons and phonons in graphene systems as a function of the number of layers. We derive the selection rules for the electron-radiation interactions and for the electron-phonon interactions at all points in the Brillouin zone. By considering these selection rules, we address the double-resonance Raman-scattering process. The monolayer and bilayer graphenes in the presence of an applied electric field are also discussed.",

keywords = "Brillouin zones, carbon, electron-phonon interactions, group theory, nanostructured materials, Raman spectra, BILAYER GRAPHENE, RAMAN-SCATTERING, BAND-STRUCTURE, GRAPHITE, FILMS",

author = "Malard, {L. M.} and Guimaraes, {M. H. D.} and Mafra, {D. L.} and Mazzoni, {M. S. C.} and A. Jorio",

year = "2009",

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doi = "10.1103/PhysRevB.79.125426",

language = "English",

volume = "79",

journal = "Physical Review B: Condensed Matter and Materials Physics",

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T1 - Group-theory analysis of electrons and phonons in N-layer graphene systems

AU - Malard, L. M.

AU - Guimaraes, M. H. D.

AU - Mafra, D. L.

AU - Mazzoni, M. S. C.

AU - Jorio, A.

PY - 2009/3

Y1 - 2009/3

N2 - In this work we study the symmetry properties of electrons and phonons in graphene systems as a function of the number of layers. We derive the selection rules for the electron-radiation interactions and for the electron-phonon interactions at all points in the Brillouin zone. By considering these selection rules, we address the double-resonance Raman-scattering process. The monolayer and bilayer graphenes in the presence of an applied electric field are also discussed.

AB - In this work we study the symmetry properties of electrons and phonons in graphene systems as a function of the number of layers. We derive the selection rules for the electron-radiation interactions and for the electron-phonon interactions at all points in the Brillouin zone. By considering these selection rules, we address the double-resonance Raman-scattering process. The monolayer and bilayer graphenes in the presence of an applied electric field are also discussed.

KW - Brillouin zones

KW - carbon

KW - electron-phonon interactions

KW - group theory

KW - nanostructured materials

KW - Raman spectra

KW - BILAYER GRAPHENE

KW - RAMAN-SCATTERING

KW - BAND-STRUCTURE

KW - GRAPHITE

KW - FILMS

U2 - 10.1103/PhysRevB.79.125426

DO - 10.1103/PhysRevB.79.125426

M3 - Article

SN - 1098-0121

VL - 79

JO - Physical Review B: Condensed Matter and Materials Physics

JF - Physical Review B: Condensed Matter and Materials Physics

IS - 12

M1 - 125426

ER -

Group-theory analysis of electrons and phonons in N-layer graphene systems

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