Abstract
The specific features of the Ruderman-Kittel-Kasuya-Yosida interaction in an impurity graphene bilayer have been calculated in the framework of the s-d model. Hydrogen atoms are considered as impurities. The calculations have demonstrated that the antiferromagnetic impurity-spin ordering is preferable at short distances, while as the distance increases, the ordering becomes ferromagnetic. The dependences of the exchange interaction constant on the problem parameters are shown.
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References
A. Fert, Nobel Lecture (The Nobel Foundation, Stockholm, 2007) [Usp. Fiz. Nauk 178 (12), 1336 (2008)].
I. Zutic, J. Fabian, and S. Das Sarma, Rev. Mod. Phys. 76, 323 (2004).
Yu. V. Gulyaev, P. E. Zil’berman, A. I. Panas, and E. M. Epshtein, Phys.—Usp. 52(4), 335 (2009).
K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, Science (Washington) 306, 666 (2004).
K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, and A. A. Firsov, Nature (London) 438, 197 (2005).
D. Henwood and J. D. Carey, Phys. Rev. B: Condens. Matter 75, 245413 (2007).
A. Lugo-Solis and I. Vasiliev, Phys. Rev. B: Condens. Matter 76, 235431 (2007).
R. R. Biswas and S. Sachdev, Phys. Rev. B: Condens. Matter 76, 205122 (2007).
M. I. Katsnelson, Phys. Rev. B: Condens. Matter 74, 201401(R) (2006).
D. A. Abanin, A. V. Shytov, and L. S. Levitov, ArXiv:1004.3678v2 (2010).
V. V. Cheainov, O. Syljuasen, B. L. Altshuler, and V. I. Fal’ko, ArXiv:1002.2330v1 (2010).
B. Uchoa, T. G. Rappoport, and A. H. Castro Neto, ArXiv:1006.2512v1 (2010).
A. M. Black-Schaffer, Phys. Rev. B: Condens. Matter 82, 073409 (2010).
B. Uchoa and A. H. Castro Neto, Phys. Rev. Lett. 98, 146801 (2007).
V. K. Dugaev, V. I. Litvinov, and J. Barnas, Phys. Rev. B: Condens. Matter 74, 224438 (2006).
S. Saremi, Phys. Rev. B: Condens. Matter 76, 184430 (2007).
R. White, Quantum Theory of Magnetism (Springer, Heidelberg, 1983; Mir, Moscow 1985).
N. F. Stepanov, Quantum Mechanics and Quantum Chemistry (Moscow State University, Moscow, 2001) [in Russian].
T. Stauber, N. M. R. Peres, F. Guinea, and A. H. Castro Neto, Phys. Rev. B: Condens. Matter 75, 115 425 (2007).
A. V. Pak and N. G. Lebedev, in Abstracts of Papers of the VI International Conference “Material Structure and Micromechanics of Facture,” Brno, Czech Republic, June 28–30, 2010, p. 149.
Yu. A. Izyumov, M. I. Katsnel’son, and Yu. N. Skryabin, Itinerant Electron Magnetism (Fizmatlit, Moscow, 1994) [in Russian].
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Original Russian Text © M.B. Belonenko, N.G. Lebedev, A.V. Pak, 2011, published in Fizika Tverdogo Tela, 2011, Vol. 53, No. 8, pp. 1604–1608.
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Belonenko, M.B., Lebedev, N.G. & Pak, A.V. Specific features of indirect interaction in an impurity graphene bilayer in the framework of the s-d model. Phys. Solid State 53, 1689–1693 (2011). https://doi.org/10.1134/S1063783411080063
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DOI: https://doi.org/10.1134/S1063783411080063