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Characterization of nanographite and carbon nanotubes by polarization dependent optical spectroscopy

Published online by Cambridge University Press:  11 February 2011

Alexander Grüneis ,
Riichiro Saito ,
Georgii G. Samsonidze ,
Marcos A. Pimenta ,
Ado Jorio ,
Antonio G. Souza Filho ,
Gene Dresselhaus  and
Mildred S. Dresselhaus
Alexander Grüneis
Affiliation:
Department of Electronic Engineering, University of Electro-Communications, Tokyo, 182–8585, Japan
Riichiro Saito
Affiliation:
Department of Electronic Engineering, University of Electro-Communications, Tokyo, 182–8585, Japan CREST, JST, Japan
Georgii G. Samsonidze
Affiliation:
Department of Electrical Engineering and Computer Science, University of Electro-Communications, Tokyo, 182–8585, Japan
Marcos A. Pimenta
Affiliation:
Departamento de Física, Universidade Federal de Minas Gerais, Belo Horizonte, MG 30123–970, Brazil
Ado Jorio
Affiliation:
Department of Physics, University of Electro-Communications, Tokyo, 182–8585, Japan Departamento de Física, Universidade Federal de Minas Gerais, Belo Horizonte, MG 30123–970, Brazil
Antonio G. Souza Filho
Affiliation:
Department of Physics, University of Electro-Communications, Tokyo, 182–8585, Japan Departamento de Física, Universidade Federal do Ceará, Fortaleza, CE 60455–760, Brazil
Gene Dresselhaus
Affiliation:
Francis Bitter Magnet Laboratory, Massachusetts Institute of Technology, Cambridge, MA 02139–4307, U.S.A.
Mildred S. Dresselhaus
Affiliation:
Department of Electrical Engineering and Computer Science, University of Electro-Communications, Tokyo, 182–8585, Japan Department of Physics, University of Electro-Communications, Tokyo, 182–8585, Japan
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Abstract

The optical absorption for ? electrons as a function of the electron wavevector k is investigated by first order perturbation theory in graphite and single wall carbon nanotubes (SWNTs). The matrix element connecting two states in the valence and conduction bands is found to be significantly anisotropic in k-space and polarization dependent. In the case of graphite, the absorption shows a node around the equi-energy contour, and in the case of SWNTs we obtain selection rules that allow only transitions between certain pairs of subbands. The strength of the optical absorption is not only diameter dependent but also chirality dependent. The implications of the optical absorption matrix element on the resonant conditions are discussed.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 737 , 2002 , F3.47
Copyright
Copyright © Materials Research Society 2003

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References

REFERENCES

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