A problem on the response of graphene with impurities to an electric field in the presence of a magnetic field is considered. The electron subsystem of graphene with impurities is analyzed using the Boltzmann kinetic equation, and inhomogeneities in the structure are modeled based on the gauge approach that causes the occurrence of the so-called pseudo-magnetic field. It is demonstrated that the current can be amplified due to inhomogeneities.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
K. S. Novoselov, A. K. Geim, S. V. Morozov, et al., Science, 306, 666 (2004).
K. S. Novoselov, A. K. Geim, S. V. Morozov, et al., Nature, 438, 197 (2005).
Y. Zhang, J. W. Tan, H. L. Stormer, and P. Kim, Nature, 438, 201 (2005).
S. Stankovich, D. A. Dikin, G. H. B. Dommett, et al., Nature, 442, 282 (2006).
A. M. Zheltikov, Ultrashort Pulses and Methods of Nonlinear Optics [in Russian], Fizmatlit, Moscow (2006).
S. A. Maksimenko and G. Ya. Slepyan, in: Handbook of Nanotechnology. Nanometer Structure: Theory, Modeling, and Simulation, SPIE Press, Bellingham (2004), p. 145.
G. Ya. Slepyan, S. A. Maksimenko, V. P. Kalosha, et al., Phys. Rev., A60, R 777 (1999).
P. W. Anderson, Phys. Rev., 124, 41 (1961).
S. G. Ovchinnikov and L. E. Yakimov, Fiz. Tverd. Tela, 45, No. 8, 1409 (2003).
Yu. A. Izyumov, B. M. Letfulov, E. V. Shipitsyn, and K. A. Chao, Int. J. Mod. Phys., 21, 3479 (1992).
F. De Juan, A. Cortijo, and M. A. H. Vozmediano, Phys. Rev., B76, 165409 (2007).
J. H. Los, M. I. Katsnelson, O. V. Yazyev, et al., arXiv:0903.3847 (2009).
H. Suzuura and T. Ando, Phys. Rev., B65, 235412 (2002).
J. L. Manes, Phys. Rev., B76, 045430 (2007).
Yu. A. Izyumov and D. S. Alekseev, Fiz. Tverd. Tela, 97, 18 (2004).
Yu. A. Izyumov and N. I. Chashchin, Fiz. Tverd. Tela, 97, 5 (2004).
P. R. Wallace, Phys. Rev., 71, 622 (1947).
V. M. Polyanovskii, Fiz. Tekh. Poluprovodn., 14, 1215 (1980).
E. M. Epshtein, Izv. Vyssh. Uchebn. Zaved. Radiofiz., 22, 373 (1979).
V. L. Bonch-Bruevich and S. G. Kalashnikov, Physics of Semiconductors [in Russian], Nauka, Moscow (1990).
G. M. Shmelev, E. M. Epshtein, and M. B. Belonenko, arXiv: 0905.3457v2 (2009).
M. A. H. Vozmediano, M. I. Katsnelson, and F. Guinea, arxiv.org/abs/1003.5179v2 (2010).
K. Sasaki, S. Murakami, and R. Saito, arxiv.org/abs/cond-mat/0602647 (2006).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 8–12, October, 2012.
Rights and permissions
About this article
Cite this article
Belonenko, M.B., Lebedev, N.G. & Yanyushkina, N.N. On the possibility of current amplification by random inhomogeneities in graphene. Russ Phys J 55, 1111–1116 (2013). https://doi.org/10.1007/s11182-013-9930-x
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11182-013-9930-x