Abstract
This paper provides results of numerical simulations of graphene conductivity. The numerical results were performed in tight-biding model with Coulomb potential screened by σ electron of carbon atoms. The dependence of the graphene conductivity on the dielectric permittivity of substrate was calculated. The results agreeds with experimental data.
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References
A. K. Geim and K. S. Novoselov, Nat. Mater. 6, 183 (2007).
Castro A. H. Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, Rev. Mod. Phys. 81, 109 (2009).
J. E. Drut and T. A. Lahde, Phys. Rev. Lett. 102, 26802 (2009).
J. E. Drut and T. A. Lahde, Phys. Rev. Lett. 79, 165425 (2009).
P. V. Buividovich and M. I. Polikarpov, Phys. Rev. Lett. 86, 245117 (2012).
D. C. Elias, R. V. Gorbachev, A. S. Mayorov, S. V. Morozov, A. A. Zhukov, P. Blake, L. A. Ponomarenko, I. V. Grigorieva, K. S. Novoselov, F. Guinea, and A. K. Geim, Nat. Phys. 7, 701 (2011).
A. S. Mayorov, D. C. Elias, I. S. Mukhin, S. V. Morozov, L. A. Ponomarenko, K. S. Novoselov, A. K. Geim, and I. V. Grigorieva, Nano Lett. 12, 4629 (2012).
R. R. Nair, P. Blake, A. N. Grigorenko, K. S. Novoselov, T. J. Booth, T. Stauber, N. M. R. Peres, and A. K. Geim, Science 320, 1308 (2008).
M. V. Ulybyshev, P. V. Buividovich, M. I. Katsnelson, and M. I. Polikarpov, Phys. Rev. Lett. 111, 56801 (2013).
T. O. Wehling, E. Şaşıoğlu, C. Friedrich, A. I. Lichtenstein, M. I. Katsnelson, and S. Blügel, Phys. Rev. Lett. 106, 236805 (2011).
C. Gattringer and C. B. Lang, Quantum Chromodynamics on the Lattice: An Introductory Presentation (Springer, Berlin, Heidelberg, 2010).
I. Montvay and G. Munster, Quantum Fields on a Lattice (Cambridge Univ. Press, Cambridge, 1997).
R. C. Brower, D. Schaich, and C. Rebbi, in Proceedings of the 29th International Symposium on Lattice Field Theory, California, 2011.
P. L. Kadanoff and C. P. Martin, Ann. Phys. (N.Y.) 24, 419 (1963).
G. Aarts, C. Allton, J. Foley, S. Hands, and S. Kim, Phys. Rev. Lett. 99, 22002 (2007).
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Published in Russian in Yadernaya Fizika i Inzhiniring, 2015, Vol. 6, Nos. 7–8, pp. 367–370.
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Boyda, D.L., Braguta, V.V. & Ulybyshev, M.V. Numerical simulations of graphene conductivity with realistic inter-electron potential. Phys. Atom. Nuclei 79, 1505–1507 (2016). https://doi.org/10.1134/S1063778816100045
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DOI: https://doi.org/10.1134/S1063778816100045