Abstract
Based on the underlying graphene lattice symmetry and an itinerant magnetism model on a bipartite lattice, we propose a unified geometric rule for designing graphene-based magnetic nanostructures: spins are parallel (ferromagnetic (FM)) on all zigzag edges which are at angles of 0° and 120° to each other, and antiparallel (antiferromagnetic (AF)) at angles of 60° and 180°. The rule is found to be consistent with all the systems that have been studied so far. Applying the rule, we predict several novel graphene-based magnetic nanostructures: 0-D FM nanodots with the highest possible magnetic moments, 1-D FM nanoribbons, and 2-D magnetic superlattices.
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Saito, R.; Fujita, M.; Dresselhaus, G.; Dresselhaus, M. S. Electronic structure of chiral graphene tubules. Appl. Phys. Lett. 1992, 60, 2204–2206.
Saito, R.; Dresselhaus, G.; Dresselhaus, M. S. Electronic structure of double-layer graphene tubules. J. Appl. Phys. 1993, 73, 494–500.
Nakada, K.; Fujita, M.; Dresselhaus, G.; Dresselhaus, M. S. Edge state in graphene ribbons: Nanometer size effect and edge shape dependence. Phys. Rev. B 1996, 54, 17954–17961.
Fujita, M.; Wakabayashi, K.; Nakada, K.; Kusakabe, K. Peculiar localized state at zigzag graphite edge. J. Phys. Soc. Jpn. 1996, 65, 1920–1923.
Yan, Q. M.; Huang, B.; Yu, J.; Zheng, F. W.; Zang, J.; Wu, J.; Gu, B. L.; Liu, F.; Duan, W. H. Intrinsic current-voltage characteristics of graphene nanoribbon transistors and effect of edge doping. Nano Lett. 2007, 7, 1469–1473.
Kusakabe, K.; Maruyama, M. Magnetic nanographite. Phys. Rev. B 2003, 67, 092406.
Son, Y. W.; Cohen, M. L.; Louie, S. G. Half-metallic graphene nanoribbons. Nature 2006, 444, 347–342.
Pisani, L.; Chan, J. A.; Montanari, B.; Harrison, N. M. Electronic structure and magnetic properties of graphitic ribbons. Phys. Rev. B 2007, 75, 064418.
Huang, B.; Liu, F.; Wu, J.; Gu, B. L.; Duan, W. H. Suppression of spin polarization in graphene nanoribbons by edge defects and impurities. Phys. Rev. B 2008, 77, 153411.
Wu, X. J.; Zeng, X. C. Sawtooth-like graphene nanoribbon. Nano Res. 2008, 1, 40–45.
Fernandez-Rossier, J.; Palacios, J. J. Magnetism in graphene nanoislands. Phys. Rev. Lett. 2007, 99, 177204.
Wang, W. L.; Meng, S.; Kairas, E. Graphene nanoflakes with large spin. Nano Lett. 2007, 8, 241–245.
Ezawa, M. Metallic graphene nanodisks: Electronic and magnetic properties. Phys. Rev. B 2007, 76, 245415.
Hod, O.; Barone, V.; Scuseria, G. E. Half-metallic graphene nanodots: A comprehensive first principles theoretical study. Phys. Rev. B 2008, 77, 035411.
Yu, D. C.; Lupton, E. M.; Liu, M.; Liu, W.; Liu, F. Collective magnetic behavior of graphene nanohole superlattices. Nano Res. 2008, 1, 56–62.
Slater, J. C. The ferromagnetism of nickel. Phys. Rev. 1936, 49, 537–545.
Liu, F.; Khanna, S. N.; Jena, P. Quantum size effect on the magnetism of finite systems. Phys. Rev. B 1990, 42, 976–979.
Lieb, E. H. Two theorems on the Hubbard model. Phys. Rev. Lett. 1989, 62, 1201–1204
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License ( https://creativecommons.org/licenses/by-nc/2.0 ), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Yu, D., Lupton, E.M., Gao, H.J. et al. A unified geometric rule for designing nanomagnetism in graphene. Nano Res. 1, 497–501 (2008). https://doi.org/10.1007/s12274-008-8053-0
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DOI: https://doi.org/10.1007/s12274-008-8053-0