Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

Dirac charge dynamics in graphene by infrared spectroscopy

Abstract

A remarkable manifestation of the quantum character of electrons in matter is offered by graphene, a single atomic layer of graphite. Unlike conventional solids where electrons are described with the Schrödinger equation, electronic excitations in graphene are governed by the Dirac hamiltonian1. Some of the intriguing electronic properties of graphene, such as massless Dirac quasiparticles with linear energy–momentum dispersion, have been confirmed by recent observations2,3,4,5. Here, we report an infrared spectromicroscopy study of charge dynamics in graphene integrated in gated devices. Our measurements verify the expected characteristics of graphene and, owing to the previously unattainable accuracy of infrared experiments, also uncover significant departures of the quasiparticle dynamics from predictions made for Dirac fermions in idealized, free-standing graphene. Several observations reported here indicate the relevance of many-body interactions to the electromagnetic response of graphene.

This is a preview of subscription content, access via your institution

Access options

Buy this article

USD 39.95

Prices may be subject to local taxes which are calculated during checkout

Figure 1: The reflectance R(ω) and transmission T(ω) of a graphene device under applied gate voltages.
Figure 2: The optical conductivity of graphene at different voltages.
Figure 3: The Fermi energy EF and the ratio of EF to the Fermi wave vector EF/kF.

Similar content being viewed by others

References

  1. Semenoff, G. W. Condensed-matter simulation of a three-dimensional anomaly. Phys. Rev. Lett. 53, 2449–2452 (1984).

    Article  ADS  Google Scholar 

  2. Novoselov, K. S. et al. Two-dimensional gas of massless Dirac fermions in graphene. Nature 438, 197–200 (2005).

    Article  ADS  Google Scholar 

  3. Zhang, Y., Tan, J. W., Stormer, H. L. & Kim, P. Experimental observation of the quantum Hall effect and Berry’s phase in graphene. Nature 438, 201–204 (2005).

    Article  ADS  Google Scholar 

  4. Jiang, Z. et al. Infrared spectroscopy of Landau levels of graphene. Phys. Rev. Lett. 98, 197403 (2007).

    Article  ADS  Google Scholar 

  5. Deacon, R. S., Chuang, K.-C., Nicholas, R. J., Novoselov, K. S. & Geim, A. K. Cyclotron resonance study of the electron and hole velocity in graphene monolayers. Phys. Rev. B 76, 081406 (2007).

    Article  ADS  Google Scholar 

  6. Ando, T., Zheng, Y. & Suzuura, H. Dynamical conductivity and zero-mode anomaly in honeycomb lattices. J. Phys. Soc. Jpn. 71, 1318–1324 (2002).

    Article  ADS  Google Scholar 

  7. Peres, N. M. R., Guinea, F. & Castro Neto, A. H. Electronic properties of disordered two-dimensional carbon. Phys. Rev. B 73, 125411 (2006).

    Article  ADS  Google Scholar 

  8. Gusynin, V. P. & Sharapov, S. G. Transport of Dirac quasiparticles in graphene: Hall and optical conductivities. Phys. Rev. B 73, 245411 (2006).

    Article  ADS  Google Scholar 

  9. Nair, R. R. et al. Fine structure constant defines visual transparency of graphene. Sciencedoi:10.1126/science.1156965 (2008).

  10. Kuzmenko, A. B., van Heumen, E., Carbone, F. & van der Marel, D. Universal optical conductance of graphite. Phys. Rev. Lett. 100, 117401 (2008).

    Article  ADS  Google Scholar 

  11. Peres, N. M. R., Stauber, T. & Castro Neto, A. H. The infrared conductivity of graphene. Preprint at <http://arxiv.org/abs/0803.2816> (2008).

  12. Martin, J. et al. Observation of electron–hole puddles in graphene using a scanning single-electron transistor. Nature Phys. 4, 144–148 (2008).

    Article  ADS  Google Scholar 

  13. Qazilbash, M. M. et al. Mott transition in VO2 revealed by infrared spectroscopy and nano-imaging. Science 318, 1750–1753 (2007).

    Article  ADS  Google Scholar 

  14. Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S. & Geim, A. K. The electronic properties of graphene. Preprint at <http://arxiv.org/abs/0709.1163> (2007).

  15. González, J., Guinea, F. & Vozmediano, M. A. H. Unconventional quasiparticle lifetime in graphite. Phys. Rev. Lett. 77, 3589–3592 (1996).

    Article  ADS  Google Scholar 

  16. Hwang, E. H., Hu, B. Y.-K. & Das Sarma, S. Inelastic carrier lifetime in graphene. Phys. Rev. B 76, 115434 (2007).

    Article  ADS  Google Scholar 

  17. Park, C.-H., Giustino, F., Cohen, M. L. & Louie, S. G. Velocity renormalization and carrier lifetime in graphene from the electron–phonon interaction. Phys. Rev. Lett. 99, 086804 (2007).

    Article  ADS  Google Scholar 

  18. Basov, D. N., Singley, E. J. & Dordevic, S. V. Sum rules and electrodynamics of high-Tc cuprates in the pseudogap state. Phys. Rev. B 65, 054516 (2002).

    Article  ADS  Google Scholar 

  19. Degiorgi, L. The electrodynamic response of heavy-electron compounds. Rev. Mod. Phys. 71, 687–734 (1999).

    Article  ADS  Google Scholar 

  20. Basov, D. N. & Timusk, T. Electrodynamics of high-Tc superconductors. Rev. Mod. Phys. 77, 721–779 (2005).

    Article  ADS  Google Scholar 

  21. Gonzalez, J., Guinea, F.. & Vozmediano, M. A. H. Marginal-Fermi-liquid behavior from two-dimensional Coulomb interaction. Phys. Rev. B 59, R2474–R2477 (1999).

    Article  ADS  Google Scholar 

  22. Das Sarma, S., Hwang, E. H. & Tse, W.-K. Many-body interaction effects in doped and undoped graphene: Fermi liquid versus non-Fermi liquid. Phys. Rev. B 75, 121406 (2007).

    Article  ADS  Google Scholar 

  23. Zhou, S. Y. et al. First direct observation of Dirac fermions in graphite. Nature Phys. 2, 595–599 (2006).

    Article  ADS  Google Scholar 

  24. Bostwick, A., Ohta, T., Seyller, T., Horn, K. & Rotenberg, E. Quasiparticle dynamics in graphene. Nature Phys. 3, 36–40 (2006).

    Article  ADS  Google Scholar 

  25. Zhou, S. Y. et al. Substrate-induced bandgap opening in epitaxial graphene. Nature Mater. 6, 770–775 (2007).

    Article  ADS  Google Scholar 

  26. Wang, F. et al. Gate-variable optical transitions in graphene. Science 320, 206–209 (2008).

    Article  ADS  Google Scholar 

  27. Li, Z. Q. et al. Light quasiparticles dominate electronic transport in molecular crystal field-effect transistors. Phys. Rev. Lett. 99, 016403 (2007).

    Article  ADS  Google Scholar 

  28. Sai, N., Li, Z. Q., Martin, M. C., Basov, D. N. & Di Ventra, M. Electronic excitations and metal–insulator transition in poly(3-hexylthiophene) organic field-effect transistors. Phys. Rev. B 75, 045307 (2007).

    Article  ADS  Google Scholar 

  29. Mikhailov, S. A. & Ziegler, K. New electromagnetic mode in graphene. Phys. Rev. Lett. 99, 016803 (2007).

    Article  ADS  Google Scholar 

Download references

Acknowledgements

Work at UCSD is supported by the DOE (No. DE-FG02-00ER45799). Research at Columbia University is supported by the DOE (No. DE-AIO2-04ER46133 and No. DE-FG02-05ER46215), NSF (No. DMR-03-52738 and No. CHE-0117752), NYSTAR and the Keck Foundation. The Advanced Light Source is supported by the Director, Office of Science, Office of Basic Energy Sciences, of the US Department of Energy under Contract No. DE-AC02-05CH11231.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Z. Q. Li.

Supplementary information

Supplementary Information (download PDF )

Supplementary Information and Supplementary Figure 1 (PDF 139 kb)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, Z., Henriksen, E., Jiang, Z. et al. Dirac charge dynamics in graphene by infrared spectroscopy. Nature Phys 4, 532–535 (2008). https://doi.org/10.1038/nphys989

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue date:

  • DOI: https://doi.org/10.1038/nphys989

This article is cited by

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing