Abstract
In this work we study excitonic absorption in bilayer graphene where an energy gap is opened by a static perpendicular electric field. On the basis of the tight-binding approach and second quantized Hamiltonian the linearized quantum kinetic equations for the density matrix are obtained. It is shown that the exciton binding energy and intensity of the excitonic absorption can be tuned by changing the value of the gap and tight-binding parameters. It is found that the account of circular asymmetry of the energy bands in bilayer graphene leads to a strong increase of exciton binding energy and excitonic absorption.
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, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, Science 306, 666 (2004).
A. H. Castro Neto, F. Guinea, N. M. Peres, K. S. Novoselov, and A. K. Geim, Rev. Mod. Phys. 81, 109 (2009).
A. K. Geim and K. S. Novoselov, Nature Materials 6, 183 (2007).
P. Blake, P. D. Brimicombe, R. R. Nair, T. J. Booth, D. Jiang, F. Schedin, L. A. Ponomarenko, S. V. Morozov, H. F. Gleeson, E. W. Hill, A. K. Geim, and K. S. Novoselov, Nano Lett. 8, 1704 (2008).
K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos, and A. A. Firsov, Nature (London) 438, 197 (2005).
Y. Zhang, Y.-W. Tan, H. L. Stormer, and P. Kim, Nature (London) 438, 201 (2005).
K. S. Novoselov, E. McCann, S. V. Morozov, V. I. Fal’ko, M. I. Katsnelson, U. Zeitler, D. Jiang, F. Schedin, and A. K. Geim, Nat. Phys. 2, 177 (2006).
N. M. R. Peres, F. Guinea, and A. H. Castro Neto, Phys. Rev. B 73, 125411 (2006).
E. McCann and V. I. Fal’ko, Phys. Rev. Lett. 96, 086805 (2006).
B. Partoens and F. M. Peeters, Phys. Rev. B 75, 193402 (2007).
K. L. Ishikawa, Phys. Rev. B 82, 201402(R) (2010).
H. K. Avetissian, A. K. Avetissian, G. F. Mkrtchian, and Kh. V. Sedrakian, Phys. Rev. B 85, 115443 (2012).
W. Bao, L. Jing, J. Yelasco, Jr., G. Liu, D. Tran, B. Standley, M. Aykol, S. B. Cronin, D. Smirnov, M. Koshino, E. M. Cann, M. Bockrath, and C. N. Lau, Nature Physics 7, 948 (2011).
E. McCann, Phys. Rev. B 74, 161403(R) (2006).
E. V. Castro, K. S. Novoselov, S. V. Morozov, N. M. Peres, J. M. B. Lopes dos Santos, J. Nilsson, F. Guinea, A. K. Geim, and A. H. Castro Neto, Phys. Rev. Lett. 99, 216802 (2007).
A. A. Avetisyan, B. Partoens, and F. M. Peeters, Phys. Rev B 81, 115432 (2010).
A. A. Avetisyan, B. Partoens, and F. M. Peeters, Phys. Rev. B 80, 195401 (2009).
A. A. Avetisyan, A. Djotyan, and K. Moulopoulos, Phys. Atom. Nucl. 80, 307 (2017)
N. M. R. Peres, R. M. Ribeiro, and A. H. Castro Neto, Phys. Rev. Lett. 105, 055501 (2010).
C.-H. Park and S. G. Louie, Nano Lett. 10, 426 (2010).
T. G. Pedersen, A.-P. Jauho, and K. Pedersen, Phys. Rev B 79, 113406 (2009).
T. Ohta, A. Bostwick, T. Seyller, K. Horn, and E. Rotenberg, Science 313, 951 (2006).
Author information
Authors and Affiliations
Corresponding author
Additional information
The text was submitted by the author in English.
Rights and permissions
About this article
Cite this article
Avetisyan, A.A., Djotyan, A.P. & Moulopoulos, K. Tunable Excitons in Bilayer Graphene with Opened Energy Gap. Phys. Atom. Nuclei 81, 799–803 (2018). https://doi.org/10.1134/S1063778818060042
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063778818060042