Skip to main content Accessibility help

Kohn Anomalies in Graphite and Nanotubes

  • S. Piscanec (a1), M. Lazzeri (a2), A. C. Ferrari (a1), F. Mauri (a2) and J. Robertson (a1)...


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.



Hide All
1. Kohn, W., Phys. Rev Lett. 2, 393 (1959)
2. Piscanec, S. et al, Phys. Rev. Lett. 93, 185503 (2004)
3. Baroni, S. et al., Rev. Mod. Phys. 73, 515, (2001)
4. Troullier, N. and Martins, J. L., Phys. Rev. B 43, 1993 (1991)
5. Methfessel, M. and Paxton, A.T., Phys. Rev. B 40, 3616 (1989)
6. Maultzsch, J. et al, Phys. Rev. Lett 92, 075501 (2004)
7. Tuinstra, F., Koening, J. L., J. Chem. Phys. 53, 1126 (1970).
8. Mapelli, C. et al, Phys. Rev. B 60, 12710 (1999)
9. Ferrari, A.C. and Robertson, J. Phys. Rev. B 61, 14095 (2000); 64, 075414 (2001).
10. Vidano, R.P. et al., Solid State Commun. 39 341 (1981)
11. Poksic, I. et al., J. Non-Cryst. Solids 227–230, 1083 (1998)
12. for a review see Wirtz, L. and Rubio, A., Solid State Commun. 131, 141 (2004).
13. Thomsen, C. and Reich, S., Phys. Rev. Lett. 85, 5214 (2000)
14. Piscanec, S. et al. Phys. Rev. Lett. Submitted (2004)
15. Dubay, O. and Kresse, G., Phys. Rev. B 67, 035401 (2003)
16. Jorio, A. et al. Phys. Rev. Lett. 90, 107403 (2003); Phys. Rev. B 65, 155412 (2002)
17. Jiang, C. et al. Phys. Rev. B 66, 161404 (2002)
18. Lazzeri, M. et al. cond-mat/0503278.
19. Baroni, S. et al.

Kohn Anomalies in Graphite and Nanotubes

  • S. Piscanec (a1), M. Lazzeri (a2), A. C. Ferrari (a1), F. Mauri (a2) and J. Robertson (a1)...


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed