Abstract
The probability of the ionization of impurities in graphene with a gap in its energy spectrum in co-directional constant and alternating electric fields is examined in the quasiclassical approximation. Analytical expressions for the probability of ionization in a constant electric field and a strong alternating electric field acting individually are obtained.
Similar content being viewed by others
REFERENCES
Popov, V.S., Kuznetsov, V.P., and Perelomov, A.M., J. Exp. Theor. Phys., 1968, vol. 26, p. 222.
Baz’, A.I., Rasseyanie, reaktsii i raspady v nerelyativistskoi kvantovoi mekhanike (Scattering, Reactions, and Decays in Nonrelativistic Quantum Mechanics), Moscow: Nauka, 1971.
Popov, V.S., Karnakov, B.M., and Mur, V.D., J. Exp. Theor. Phys., 1998, vol. 86, no. 5, p. 860.
Kryuchkov, S.V. and Syrodoev, G.A., Izv. Vyssh. Uchebn. Zaved., Radiofiz., 1990, no. 6, p. 762.
Castro Neto, A.H., Guinea, F., Peres, N.M.R., et al., Rev. Mod. Phys., 2009, no. 81, p. 109.
Katsnelson, M.I., Graphene: Carbon in Two Dimensions, Cambridge: Cambridge Univ. Press, 2012.
Das Sarma S., Adam, S.S., Hwang, E.H., et al., Rev. Mod. Phys., 2011, vol. 2, no. 83, p. 407.
Giovannetti, G., Khomyakov, P.A., and Brocks, G., Phys. Rev. B, 2007, vol. 76, p. 073103.
Zhou, S.Y., Gweon, G.-H., and Fedorov, A.V., Nat. Mater., 2007, vol. 10, no. 6, p. 770.
Karlicky, F., Zboril, R., and Otyepkab, M., J. Chem. Phys., 2012, vol. 137, p. 034709.
Nair, R.R., Ren, W., Jalil, R., et al., Small, 2010, vol. 6, p. 2877.
Glazov, S.Yu. and Badikova, P.V., Zh. Nano-Elektron. Fiz., 2018, vol. 10, no. 2, p. 02020.
Badicova, P.V. and Glazov, S.Yu., Bull. Russ. Acad. Sci.: Phys., 2015, vol. 12, no. 79, p. 1443.
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Abramowitz, M. and Stegun, I. A., Eds., National Bureau of Standards, 1964.
ACKNOWLEDGMENTS
This work was supported by the RF Ministry of Education and Science as part of a State Task, project 3.2797.2017/4.6.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by D. Safin
About this article
Cite this article
Badikova, P.V., Glazov, S.Y. Ionization of Impurities by Constant and Alternating Electric Fields in a Gap Graphene Modification. Bull. Russ. Acad. Sci. Phys. 82, 1399–1402 (2018). https://doi.org/10.3103/S1062873818110059
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1062873818110059