Breakdown of the adiabatic Born-Oppenheimer approximation in graphene

Nature Materials

Volumn 6, Issue 3, 2007, Pages 198-201

  Pisana, Simone ^a   Lazzeri, Michele ^b   Casiraghi, Cinzia ^a   Novoselov, Kostya S ^c   Geim, A K ^c   Ferrari, Andrea C ^a   Mauri, Francesco ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^c UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELECTRONIC STATES; ELECTRONS; ENERGY GAP; MOLECULAR DYNAMICS; OLEFINS; QUANTUM THEORY;

GATE VOLTAGE; METALLIC SYSTEMS; PHONON FREQUENCIES;

MATERIALS SCIENCE;

EID: 33847655495     PISSN: 14761122     EISSN: 14764660     Source Type: Journal    
DOI: 10.1038/nmat1846     Document Type: Article

References (30)

1. Born, M. & Oppenheimer, J. R. Zur quantentheorie der molekeln. Ann. Phys. 84, 457-484 (1927).
2. Ziman, J. M. Electrons and Phonons (Oxford Univ. Press, Oxford, 1960).
3. Grimvall, G. The Electron-Phonon Interaction in Metals (North-Holland, Amsterdam, 1981).
4. Ponosov, Y. S., Bolotin, G. A., Thomsen, C. & Cardona, M. Raman scattering in Os: Nonadiabatic renormalization of the optical phonon self energies. Phys. Status Solidi B 208, 257-269 (1988).
5. White, J. D., Chen, J., Matsiev, D., Auerbach, D. J. & Wodtke, A. M. Conversion of large-amplitude vibration to electron excitation at a metal surface. Nature 433, 503-505 (2005).
6. Kroes, G. J., Gross, A., Baerends, E. J., Scheffler, M. & McCormack, D. A. Quantum theory of dissociative chemisorption on metal surfaces. Acc. Chem. Res. 35, 193-200 (2002).
7. Alfe, D., Gillan, M. J. & Price, G. D. The melting curve of iron at the pressures of the Earth's core from ab initio calculations. Nature 401, 462-464 (1999).
8. Walker, B. G., Molted, C. & Marzari, N. Ab tarde molecular dynamics of metal surfaces. J. Phys. Condens. Matter 16, S2575-S2596 (2004).
9. Chester, G. V. The theory of interaction of electrons with lattice vibrations in metals. Adv. Phys. 10, 357-400(1961).
10. Baroni, S., DeGironcoli, S., Dal Corso, A. & Giannozzi, P. Phonons and related crystal properties from density functional perturbation theory. Rev. Mod. Phys. 73, 515-562 (2001).
11. Savrasov, S. Y. & Savrasov, D. Y. Electron-phonon interactions and related physical properties of metals from linear-response theory. Phys. Rev. B 54, 16487-16501 (1996).
12. Novoselov, K. S. et al. Two dimensional atomic crystals. Proc. Natl Acad. Sci. USA 102, 10451-10453 (2005).
13. Novoselov, K. S. et al. Electric field effect in atomically thin carbon films. Science 306, 666-669 (2004).
14. Wallace, P. R. The band theory of graphite. Phys. Rev. 71, 622-634 (1947).
15. Novoselov, K. S. et al. Two dimensional gas of massless Dirac fermions in graphene. Nature 438, 197-200 (2005).
16. Zhang, Y., Tan, Y. W., Stormer, H. L. & Kim, P. Experimental observation of the quantum Hall effect and Berry's phase in graphene. Nature 438, 201-204 (2005).
17. Ferrari, A. C. et al. Raman spectrum of graphene and graphene layers. Phys. Rev. Lett. 97, 187401 (2006).
18. Yan, J., Zhang, Y., Kim, P. & Pinczuk, A. Electric field effect tuning of electron-phonon coupling in graphene. Preprint at 〈http://www. arxiv.org/cond-mat/0612634〉 (2006).
19. Tuinstra, F. & Koenig, J. Raman spectrum of graphite. J. Chem. Phys. 53, 1126-1130 (1970).
20. Piscanec, S., Lazzeri, M., Mauri, F., Ferrari, A. C. & Robertson, J. Kohn anomalies and electron phonon interactions in graphite. Phys. Rev. Lett. 93, 185503 (2004).
21. Dubay, O. & Kresse, G. Accurate density functional calculations for the phonon dispersion relations of graphite layer and carbon nanotubes. Phys. Rev. B 67, 035401 (2003).
22. Lazzeri, M., Piscanec, S., Mauri, F., Ferrari, A. C. & Robertson, I. Phonon linewidths and electron-phonon coupling in graphite and nanotubes. Phys. Rev. B 73, 155426 (2006).
23. Zhang, Y. et al. Landau-level splitting in graphene in high magnetic fields. Phys. Rev. Lett. 96, 136806 (2006).
24. Moos, G., Gahl, C., Fasel, R., Wolf, M. & Hertel, T. Anisotropy of quasiparticle lifetimes and the role of disorder in graphite from ultrafast time-resolved photoemission spectroscopy. Phys. Rev. Lett. 87, 267402 (2001).
25. Kampfrath, T., Perfetti, L., Schapper, F., Frischkorn, C. & Wolf, M. Strongly coupled optical phonons in the ultrafast dynamics of electronic energy and current relaxation in graphite. Phys. Rev. Lett. 95, 187403 (2005).
26. Lazzeri, M. & Mauri, F. Non-adiabatic Kohn-anomaly in a doped graphene monolayer. Phys. Rev. Lett. 97, 266407 (2006).
27. Ando, T. Anomaly of optical phonon in monolayer graphene. J. Phys. Soc. Jpn. 75, 124701 (2006).
28. Castro Neto, A. H. & Guinea, F. Electron-phonon coupling and Raman spectroscopy in graphene. Phys. Rev. B 75, 045404 (2007).
29. Ashcroft, N. W. & Mermin, N. D. Solid State Physics (Saunders College, London, 1976).
30. Piscanec, S., Lazzeri, M., Robertson, J., Ferrari, A. C. & Mauri, F. Optical phonons in carbon nanotubes: Kohn anomalies, peierls distortions and dynamic effects. Phys. Rev. B 75, 035427 (2007).