The evolution of few cycles optical pulses in a double-layer graphene – boron nitride taking into account nonlinearity of a medium
Abstract
The propagation of ultra-short optical pulses in a thin film created by graphene grown on a boron nitride was considered, taking into account non-linear medium characteristics. Electron conduction in such a system described with a long-wave effective Hamiltonian for the low temperatures media. The electromagnetic field is taken in the framework of classical Maxwell equations. Dependence of the pulse shape on the initial pulse amplitude and the parameters of the linear and nonlinear polarization is shown.
Supporting agencies: This work was supported by Russian Foundation for Basic Research (grant No. 12-02- 31654).
About the Authors
A. V. Pak
Volgograd State University
Russian Federation
Russian Federation
Volgograd
M. B. Belonenko
Volgograd Institute of Business
Russian Federation
Russian Federation
Volgograd
References
1. Giovannetti G., Khomyakov P.A., et al. Substrate-induced band gap in graphene on hexagonal boron nitride: Ab initio density functional calculations. Phys. Rev. B, 76, P. 073103 (2007).
2. Greber T. Graphene and boron nitride single layers. In: The Handbook of Nanophysics, ed. by Sattler K., Taylor and Francis Books, Inc, Oxfordshire, 2010.
3. Avetisyan A.A., Partoens B., Peeters F.M. Stacking order dependent electric field tuning of the band gap in graphene multilayers. Phys. Rev. B, 79, P. 035421 (2009).
4. Wakabayashi K., Takane Y., Sigrist M. Perfectly conducting channel and universality crossover in disordered graphene nanoribbons. Phys. Rev. Lett., 99, P. 036601 (2007).
5. Blase X., Rubio A., Louie S.G., Cohen M.L. Stability and band-gap constancy of boron-nitride nanotubes. Europhys. Lett., 28 (5), P. 355–340 (1994).
6. Chen Y., Zou J., Campbell S.J., Le Caer G. Boron nitride nanotubes: Pronounced resistance to oxidation. Appl. Phys. Lett., 84, P. 2430–2432 (2004).
7. Breshenan M.S., Hollander M.J., et al. Integration of hexagonal boron nitride with quasi-freestanding epitaxial graphene: toward wafer-scale, high-perfomance devices. ACS Nano, 6 (6), P. 5234–5241 (2012).
8. Xue J., Sanchez-Yamagishi J., et al. Scanning tunneling microscopy and spectroscopy of ultra-flat graphene on hexagonal boron nitride. Nature Mater., 10, P. 282–285 (2011).
9. Rutter G.M., Jung S., et al. Microscopic polarization in bilayer graphene. Nature, 7, P. 649–655 (2011).
10. Cortijo A., Guinea F., Vozmediano M.A.H., Geometrical and topological aspects of graphene and related materials. arXiv: 1112.2054v1 (2011).
11. Landau L.D., Lifshitz E.M. Theoretical physics. II. Field theory, Science, Moscow, 1988, 512 p.
12. Bakhvalov N.S. Calculus of approximations (analysis, algebra, ordinary differential equations), Science, Moscow, 1975, 632 p.
Review
For citations:
Pak A.V., Belonenko M.B. The evolution of few cycles optical pulses in a double-layer graphene – boron nitride taking into account nonlinearity of a medium. Nanosystems: Physics, Chemistry, Mathematics. 2014;5(1):155-159.
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