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Band-Gap Modulation and Kohn Anomalies in Two-Dimensional Graphite and Single-Wall Carbon Nanotubes

Published online by Cambridge University Press:  01 February 2011

Georgii Samsonidze
Affiliation:
gsm@mgm.mit.edu, Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 77 Massachusetts Ave., Room 13-3021, Cambridge, MA, 02139, United States, 617-253-6860, 617-253-6827
Eduardo B. Barros
Affiliation:
ebarros@flex.phys.tohoku.ac.jp, Universidade Federal do Ceara, Fortaleza, 60455-760, Brazil
Hyungbin Son
Affiliation:
being@mit.edu, Massachusetts Institute of Technology, Cambridge, MA, 02139, United States
Riichiro Saito
Affiliation:
rsaito@flex.phys.tohoku.ac.jp, Tohoku University and CREST JST, Sendai, 980-8578, Japan
Gene Dresselhaus
Affiliation:
gene@mgm.mit.edu, Massachusetts Institute of Technology, Cambridge, MA, 02139, United States
Mildred S. Dresselhaus
Affiliation:
millie@mgm.mit.edu, Massachusetts Institute of Technology, Cambridge, MA, 02139, United States
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Abstract

The electron-phonon coupling in two-dimensional graphite (graphene sheet) and metallic single-wall carbon nanotubes (SWNTs) is analyzed. In the graphene sheet the G-band phonon mode induces oscillations of the Fermi points, while the G′-band phonon mode opens a dynamical (oscillating with the phonon frequency) band gap, and accordingly, both phonon modes exhibit Kohn anomalies. Similarly, truly metallic armchair SWNTs undergo Peierls transitions driven by the G- and G′-band phonon modes both of which open a dynamical band gap. In addition, the dynamical band gap induces a non-linear dependence of the phonon frequencies on the doping level and gives rise to strong anharmonic effects in the graphene sheet and metallic SWNTs.

Type
Research Article
Copyright
Copyright © Materials Research Society 2007

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References

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