Abstract
The one-dimensional superlattice (SL) based on a monolayer graphene with the Fermi velocity barriers is considered. We assume that the rectangular barriers are arranged periodically along the 0x axis. The transmission spectra of the quasi-electrons through this SL are calculated with the help of the transfer matrix method in the continuum model.
In contrast to the case of other types of the graphene SL spectra studied reveal the periodic character at the whole energy scale and the transmission coefficient doesn’t tend asymptotically to unity at rather large energies.
Both the energy location of the bands and their width are very sensitive to the Fermi velocity magnitude as well as to other quantities: the external electrostatic potential and the geometrical parameters (width of the barriers and quantum wells).
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References
Geim AK, Novoselov KS (2007) The rise of graphene. Nat Mater 6:183
Castro Neto AN, Guinea F, Peres NMR, Novoselov KS, Geim AK (2009) The electronic properties of graphene. Rev Mod Phys 81:109
Raoux A, Polini M, Asgari R, Hamilton AR, Fasio R, MacDonald AH (2010) Velocity-modulation control of electron-wave propagation in graphene. Phys Rev B 81:073407, arXiv:0912.2608v1 [cond-mat.mes-holl]
Concha A, Tešanović Z (2010) Effect of a velocity barrier on the ballistic transport of Dirac fermions. Phys Rev B 82:033413
Krstajic PM, Vasilopoulos P (2011) Ballistic transport through graphene nanostructures of velocity and potential barriers. J Phys Condens Matter 23:000000(8pp)
Liu L, Li Y-X, Liu J (2012) Transport properties of Dirac electrons in graphene based double velocity-barrier structures in electric and magnetic fields. Phys Lett A 376:3342–3350
Wang Y, Liu Y, Wang B (2013) Resonant tunneling and enhanced Goos-Hänchen shift in graphene double velocity barrier structure. Physica E 53:186–192
Sun L, Fang C, Liang T (2013) Novel transport properties in monolayer graphene with velocity modulation. Chin Phys Lett 30(4):047201
Yuan JH, Zhang JJ, Zeng QJ, Zhang JP, Cheng Z (2011) Tunneling of Dirac fermions in graphene through a velocity barrier with modulated by magnetic fields. Physica B 406:4214–4220
Korol AN, Isai VN (2013) Energy spectrum of the graphene-based Fibonacci superlattice. Phys solid state 55:2596–2601
Korol AN (2014) Transmission spectra of electrons through the Thue-Morse graphene superlattice. Low Temp Phys 40:324–329
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Korol, A.M., Medvid, N.V., Litvynchuk, S.I. (2015). Transport Properties of the Dirac-Weyl Electrons Through the Graphene-Based Superlattice Modulated by the Fermi Velocity Barriers. In: Fesenko, O., Yatsenko, L. (eds) Nanoplasmonics, Nano-Optics, Nanocomposites, and Surface Studies. Springer Proceedings in Physics, vol 167. Springer, Cham. https://doi.org/10.1007/978-3-319-18543-9_13
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DOI: https://doi.org/10.1007/978-3-319-18543-9_13
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-18542-2
Online ISBN: 978-3-319-18543-9
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