Abstract.
Spin-polarized density functional theory has been used to study the effects of vacancy defects on the magnetic properties of graphene. Structural optimization shows that introducing a carbon vacancy cluster into a graphene sheet changes the spatial distribution of the neighbor atoms, particularly those located around the vacancy. From spin-polarized DOS and LPDOS calculations, we find that only vacancies containing unpaired electrons show magnetism. These results lead us to formulate a relation between the vacancy-induced magnetic moment and the size and shape of the vacancy clusters in graphene sheet.
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K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, Y. Zhang, S.V. Dubonos, I.V. Grigorieva, A.A. Firsov, Science 306, 666 (2004)
K.I. Bolotin, K.J. Sikes, Z. Jiang, M. Klima, G. Fudenberg, J. Hone, P. Kim, H.L. Stormer, Solid State Commun. 146, 351 (2008)
K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, M.I. Katsnelson, I.V. Grigorieva, S.V. Dubonos, A.A. Firsov, Nature 438, 197 (2005)
Y. Zhang, Y.W. Tan, H.L. Stormer, P. Kim, Nature 438, 201 (2005)
K.S. Novoselov et al., Science 315, 1379 (2007)
M.Y. Han, B. Özyilmaz, Y. Zhang, P. Kim, Phys. Rev. Lett. 98, 206805 (2007)
C. Lee, X. Wei, J.W. Kysar, J. Hone, Science 321, 385 (2008)
E.J. Kan, Z. Li, J. Yang, J.G. Hou, Appl. Phys. Lett. 91, 243116 (2007)
E. Rudberg, P. Salek, Y. Luo, Nano Lett. 7, 2211 (2007)
J. Jung, A.H. MacDonald, Phys. Rev. B 81, 195408 (2010)
J. Zhou, Q. Wang, Q. Sun, X.S. Chen, Y. Kawazoe, P. Jena, Nano Lett. 9, 3100 (2009)
B. Xu, J. Yin, Y.D. Xia, X.G. Wan, K. Jiang, Z.G. Liu, Appl. Phys. Lett. 96, 163102 (2010)
D. Xiao, W. Yao, Q. Niu, Phys. Rev. Lett. 99, 236809 (2007)
M. Wu, E.Z. Liu, J.Z. Jiang, Appl. Phys. Lett. 93, 082504 (2008)
Y.G. Zhou, X.T. Zu, F. Gao, H.Y. Xiao, H.F. Lv, J. Appl. Phys. 105, 104311 (2009)
H. Sevinçli, M. Topsakal, E. Durgun, S. Ciraci, Phys. Rev. B 77, 195434 (2008)
X.Q. Dai, Y.N. Tang, J.H. Zhao, Y.W. Dai, J. Phys.: Condens. Matter 22, 316005 (2010)
E.J.G. Santos, D. Sánchez-Portal, A. Ayuela, Phys. Rev. B 81, 125433 (2010)
Y. Ma, P.O. Lehtinen, A.S. Foster, R.M. Nieminen, New J. Phys. 6, 68 (2004)
O.V. Yazyev, L. Helm, Phys. Rev. B 75, 125408 (2007)
M. Topsakal, E. Aktürk, H. Sevinçli, S. Ciraci, Phys. Rev. B 78, 235435 (2008)
E. Kaxiras, K.C. Pandey, Phys. Rev. Lett. 61, 2693 (1988)
A.A. El-Barbary, R.H. Telling, C.P. Ewels, M.I. Heggie, P.R. Briddon, Phys. Rev. B 68, 144107 (2003)
M. Sammalkorpi, A. Krasheninnikov, A. Kuronen, K. Nordlund, K. Kaski, Phys. Rev. B 70, 245416 (2004)
G.D. Lee, C.Z. Wang, E. Yoon, N.M. Hwang, D.Y. Kim, K.M. Ho, Phys. Rev. Lett. 95, 205501 (2005)
K. Yamashita, M. Saito, T. Oda, Jpn J. Appl. Phys. 45, 6534 (2006) -1pt
E.J. Kan, Z.Y. Li, J.L. Yang, Nano 3, 433 (2008)
Y. Zhang, S. Talapatra, S. Kar, R. Vajtai, S.K. Nayak, P.M. Ajayan, Phys. Rev. Lett. 99, 107201 (2007)
G. Kresse, J. Furthmüller, Phys. Rev. B 54, 11169 (1996)
G. Kresse, J. Hafner, Phys. Rev. B 47, 558 (1993)
J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996) -1pt
J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 78, 1396 (1997)
P.A. Thrower, R.M. Mayer, Phys. Stat. Sol. (a) 47, 11 (1978)
C.H. Xu, C.L. Fu, D.F. Pedraza, Phys. Rev. B 48, 13273 (1993)
S. Malola, H. Häkkinen, P. Koskinen, Appl. Phys. Lett. 94, 043106 (2009)
J. Lahiri, Y. Lin, P. Bozkurt, I.I. Oleynik, M. Batzill, Nat. Nanotechnol. 5, 326 (2010)
V.V. Nelayev, A.I. Mironchik, Mater. Phys. Mech. 9, 26 (2010)
X.M. Yang et al., Carbon 47, 1399 (2009)
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Dai, X., Zhao, J., Xie, M. et al. First-principle study of magnetism induced by vacancies in graphene. Eur. Phys. J. B 80, 343–349 (2011). https://doi.org/10.1140/epjb/e2011-10955-x
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DOI: https://doi.org/10.1140/epjb/e2011-10955-x