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Kohn Anomalies in Graphite and Nanotubes

Published online by Cambridge University Press:  01 February 2011

S. Piscanec ,
M. Lazzeri ,
A. C. Ferrari ,
F. Mauri  and
J. Robertson
S. Piscanec
Affiliation:
Cambridge University, Engineering Department, Cambridge, CB2 1PZ, UK
M. Lazzeri
Affiliation:
Laboratoire de Mineralogie-Cristallographie de Paris, Université Pierre et Marie Curie, 75252, Paris, France
A. C. Ferrari
Affiliation:
Cambridge University, Engineering Department, Cambridge, CB2 1PZ, UK
F. Mauri
Affiliation:
Laboratoire de Mineralogie-Cristallographie de Paris, Université Pierre et Marie Curie, 75252, Paris, France
J. Robertson
Affiliation:
Cambridge University, Engineering Department, Cambridge, CB2 1PZ, UK
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Abstract

Atomic vibrations are partially screened by electrons. In a metal this screening can change rapidly for vibrations associated to certain points of the Brillouin zone, entirely determined by the shape of the Fermi surface. The consequent anomalous behaviour of the phonon dispersion is called Kohn anomaly. Graphite is a semimetal. Nanotubes can be metals or semiconductors. We demonstrate that two Kohn anomalies are present in the phonon dispersion of graphite and that their slope is proportional to the square of the electron-phonon coupling. Metallic nanotubes have much stronger anomalies than graphite, due to their reduced dimensionality. Semiconducting nanotubes have no Kohn anomalies.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 858: Symposium HH – Functional Carbon Nanotubes , 2004 , HH7.4
Copyright
Copyright © Materials Research Society 2005

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References

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