Kronig-Penney model on bilayer graphene

Subtitle:spectrum and transmission periodic in the strength of the barriers

We show that the transmission through single and double δ-function potential barriers of strength P=VWb/ℏvF in bilayer graphene is periodic in P with period π. 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 behavior is found for the conductance. The spectrum of a periodic succession of δ-function barriers (Kronig-Penney model) in bilayer graphene is periodic in P with period 2π. For P smaller than a critical value Pc, the spectrum exhibits two Dirac points while for P larger than Pc an energy gap opens. These results are extended to the case of a superlattice of δ-function barriers with P alternating in sign between successive barriers; the corresponding spectrum is periodic in P with period π.

Publication year:2010

Keywords:A1 Journal article

BOF-keylabel:yes

BOF-publication weight:2

CSS-citation score:2

Authors:International

Authors from:Higher Education

Accessibility:Open