Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-01-21
Phys. Rev. B 82, 235408 (2010)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
11 pages, 12 figures
Scientific paper
10.1103/PhysRevB.82.235408
We show that the transmission through single and double {\delta}-function potential barriers of strength P in bilayer graphene is periodic in P with period {\pi}. For a certain range of P values we find states that are bound to the potential barrier and that run along the potential barrier. Similar periodic behaviour is found for the conductance. The spectrum of a periodic succession of {\delta}-function barriers (Kronig-Penney model) in bilayer graphene is periodic in P with period 2{\pi}. For P smaller than a critical value, the spectrum exhibits two Dirac points while for P larger than this value an energy gap opens. These results are extended to the case of a superlattice of {\delta}-function barriers with P alternating in sign between successive barriers; the corresponding spectrum is periodic in P with period {\pi}.
Barbier Morgan
Peeters François M.
Vasilopoulos P.
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