Trigonal Anisotropy in Graphite and Carbon Nanotubes

Autor: Jie Jiang, Ge. G. Samsonidze, Kentaro Sato, Alexander Grüneis, Luiz Gustavo Cançado, Cristiano Fantini, Riichiro Saito, Marcos A. Pimenta, Shin Grace Chou, Ado Jorio, M. S. Dresselhaus, Yutaka Oyama, G. Dresselhaus
Rok vydání: 2006
Předmět:
Zdroj: Molecular Crystals and Liquid Crystals. 455:287-294
ISSN: 1563-5287
1542-1406
DOI: 10.1080/15421400600698758
Popis: We discuss here how the trigonal warping effect of the electronic structure is relevant to optical processes in graphite and carbon nanotubes. The electron-photon, electron-phonon, and elastic scattering matrix elements have a common factor of the coefficients of Bloch wave funtions of the A and B atoms in the graphite unit cell. Because of the three fold symmetry around the Fermi energy point (the K or K′ point), the matrix elements show a trigonal anisotropy which can be observed in both resonance Raman and photoluminescence spectroscopy. This anisotropy is essential for understanding the chirality dependence of the Raman intensity and the optical response of single wall carbon nanotubes.
Databáze: OpenAIRE