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Half-metallic graphene nanoribbons

Nature volume 444, pages 347–349 (2006)Cite this article

A Corrigendum to this article was published on 15 March 2007

Abstract

Electrical current can be completely spin polarized in a class of materials known as half-metals, as a result of the coexistence of metallic nature for electrons with one spin orientation and insulating nature for electrons with the other. Such asymmetric electronic states for the different spins have been predicted for some ferromagnetic metals—for example, the Heusler compounds1—and were first observed in a manganese perovskite2. In view of the potential for use of this property in realizing spin-based electronics, substantial efforts have been made to search for half-metallic materials3,4. However, organic materials have hardly been investigated in this context even though carbon-based nanostructures hold significant promise for future electronic devices5. Here we predict half-metallicity in nanometre-scale graphene ribbons by using first-principles calculations. We show that this phenomenon is realizable if in-plane homogeneous electric fields are applied across the zigzag-shaped edges of the graphene nanoribbons, and that their magnetic properties can be controlled by the external electric fields. The results are not only of scientific interest in the interplay between electric fields and electronic spin degree of freedom in solids6,7 but may also open a new path to explore spintronics3 at the nanometre scale, based on graphene8,9,10,11.

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Figure 1: Graphene nanoribbon in electric fields.
Figure 2: Electronic structures of graphene nanoribbons.
Figure 3: Origin of half-metallicity.
Figure 4: Dependence of half-metallicity on system size.

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References

  1. de Groot, R. A., Mueller, F. M., van Engen, P. G. & Buschow, K. H. J. New class of materials: half-metallic ferromagnets. Phys. Rev. Lett. 50, 2024–2027 (1983)

    Article  ADS  CAS  Google Scholar 

  2. Park, J-H. et al. Direct evidence for a half-metallic ferromagnet. Nature 392, 794–796 (1998)

    Article  ADS  CAS  Google Scholar 

  3. Wolf, S. A. et al. Spintronics: A spin-based electronics vision for the future. Science 294, 1488–1495 (2001)

    Article  ADS  CAS  PubMed  Google Scholar 

  4. Fang, C. M., de Wijs, G. A. & de Groot, R. A. Spin-polarization in half-metals. J. Appl. Phys. 91, 8340–8344 (2002)

    Article  ADS  CAS  Google Scholar 

  5. McEuen, P. L., Fuhrer, M. S. & Park, H. Single-walled carbon nanotube electronics. IEEE Trans. Nanotechnol. 1, 78–85 (2002)

    Article  ADS  Google Scholar 

  6. Murakami, S., Nagaosa, N. & Zhang, S-C. Dissipationless quantum spin current at room temperature. Science 301, 1348–1351 (2003)

    Article  ADS  CAS  PubMed  Google Scholar 

  7. Sinova, J. et al. Universal intrinsic spin Hall effect. Phys. Rev. Lett. 92, 126603 (2004)

    Article  ADS  PubMed  Google Scholar 

  8. Berger, C. et al. Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics. J. Phys. Chem. B 108, 19912–19916 (2004)

    Article  CAS  Google Scholar 

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

    Article  ADS  CAS  PubMed  Google Scholar 

  10. 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)

    Article  ADS  CAS  PubMed  Google Scholar 

  11. Berger, C. et al. Electronic confinement and coherence in patterned epitaxial graphene. Science 312, 1191–1196 (2006)

    Article  ADS  CAS  PubMed  Google Scholar 

  12. Fujita, M., Wakabayashi, K., Nakada, K. & Kusakabe, K. Peculiar localized state at zigzag graphite edge. J. Phys. Soc. Jpn. 65, 1920–1923 (1996)

    Article  ADS  CAS  Google Scholar 

  13. Nakada, K., Fujita, M., Dresselhaus, G. & Dresselhaus, M. S. Edge state in graphene ribbons: nanometer size effect and edge shape dependence. Phys. Rev. B 54, 17954–17961 (1996)

    Article  ADS  CAS  Google Scholar 

  14. Wakabayashi, K., Fujita, M., Ajiki, H. & Sigrist, M. Electronic and magnetic properties of nanographite ribbons. Phys. Rev. B 59, 8271–8282 (1999)

    Article  ADS  CAS  Google Scholar 

  15. Miyamoto, Y., Nakada, K. & Fujita, M. First-principles study of edge states of H-terminated graphitic ribbons. Phys. Rev. B 59, 9858–9861 (1999)

    Article  ADS  CAS  Google Scholar 

  16. Kobayashi, Y., Fukui, K-I., Enoki, T., Kusakabe, K. & Kaburagi, Y. Observation of zigzag and armchair edges of graphite using scanning tunneling microscopy and spectroscopy. Phys. Rev. B 71, 193406 (2005)

    Article  ADS  Google Scholar 

  17. Niimi, Y. et al. Scanning tunneling microscopy and spectroscopy of the electronic local density of states of graphite surfaces near monoatomic step edges. Phys. Rev. B 73, 085421 (2006)

    Article  ADS  Google Scholar 

  18. Okada, S. & Oshiyama, A. Magnetic ordering in hexagonally bonded sheets with first-row elements. Phys. Rev. Lett. 87, 146803 (2001)

    Article  ADS  CAS  PubMed  Google Scholar 

  19. Lee, H., Son, Y-W., Park, N., Han, S. & Yu, J. Magnetic ordering at the edges of graphitic fragments: Magnetic tail interactions between the edge-localized states. Phys. Rev. B 72, 174431 (2005)

    Article  ADS  Google Scholar 

  20. Son, Y-W., Ihm, J., Cohen, M. L., Louie, S. G. & Choi, H. J. Electrical switching in metallic carbon nanotubes. Phys. Rev. Lett. 95, 216602 (2005)

    Article  ADS  PubMed  Google Scholar 

  21. Soler, J. M. et al. The SIESTA method for ab intio order-N materials simulation. J. Phys. Condens. Matter 14, 2745–2779 (2002)

    Article  ADS  CAS  Google Scholar 

  22. Perdew, J. P. & Zunger, A. Self-interaction correction to density-functional approximations for many-electron systems. Phys. Rev. B 23, 5048–5079 (1981)

    Article  ADS  CAS  Google Scholar 

  23. Lieb, E. H. Two theorems on the Hubbard model. Phys. Rev. Lett. 62, 1201–1204 (1989)

    Article  ADS  MathSciNet  CAS  PubMed  Google Scholar 

  24. Mermin, N. D. & Wagner, H. Absence of ferromagnetism or antiferromagnetism in one- or two-dimensional isotropic Heisenberg models. Phys. Rev. Lett. 17, 1133–1136 (1966)

    Article  ADS  CAS  Google Scholar 

  25. Gambardella, P. et al. Ferromagnetism in one-dimensional monatomic metal chains. Nature 416, 301–304 (2002)

    Article  ADS  CAS  PubMed  Google Scholar 

  26. Dorantes-Dávila, J. & Pastor, G. M. Magnetic anisotropy of one-dimensional nanostructures of transition metals. Phys. Rev. Lett. 81, 208–211 (1998)

    Article  ADS  Google Scholar 

  27. Vindigni, A., Rettori, A., Pini, M. G., Carbone, C. & Gambardella, P. Finite-sized Heisenberg chains and magnetism of one-dimensional metal systems. Appl. Phys. A 82, 385–394 (2006)

    Article  ADS  CAS  Google Scholar 

  28. Delin, A., Tossati, E. & Weht, R. Magnetism in atomic-size palladium contacts and nanowires. Phys. Rev. Lett. 92, 057201 (2004)

    Article  ADS  CAS  PubMed  Google Scholar 

  29. Yao, Y., Ye, F., Qi, X-L., Zhang, S-C. & Fang, Z. Spin-orbit gap of graphene. Preprint at <http://arxiv.org/abs/cond-mat/0606350> (2006)

  30. Min, H. et al. Intrinsic and Rashba spin-orbit interactions in graphene sheets. Preprint at <http://arxiv.org/abs/cond-mat/0606504> (2006)

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Acknowledgements

We thank J. Neaton, F. Giustino, I. Souza, C. H. Park and H. J. Choi for discussions. This research was supported by the National Science Foundation (NSF) and by the Director, Office of Science, Office of Basic Energy Science, Division of Material Sciences and Engineering, US Department of Energy (DOE). Computational resources have been provided by the NSF at the National Partnership for Advanced Computational Infrastructure and by the DOE at the National Energy Research Scientific Computing Center.

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Authors and Affiliations

  1. Department of Physics, University of California at Berkeley, Berkeley, California, 94720, USA

    Young-Woo Son, Marvin L. Cohen & Steven G. Louie

  2. Materials Sciences Division, Lawrence Berkeley National Laboratory, California, 94720, Berkeley, USA

    Young-Woo Son, Marvin L. Cohen & Steven G. Louie

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  1. Young-Woo Son
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Correspondence to Steven G. Louie.

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Supplementary information

Supplementary Figure 1

Robustness half-metallicity in defective graphene nanoribbons. (PDF 155 kb)

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Son, YW., Cohen, M. & Louie, S. Half-metallic graphene nanoribbons. Nature 444, 347–349 (2006). https://doi.org/10.1038/nature05180

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