Band Tunneling through Double Barrier in Bilayer Graphene
  By taking into account the full four band energy spectrum, we calculate the transmission probability and conductance of electrons across symmetric and asymmetric double potential barrier with a confined interlayer potential difference in bilayer graphene. For energies less than the interlayer coupling \gamma_{1}, E<\gamma_1, we have one channel for transmission which exhibits resonances, even for incident particles with energies less than the strength of barriers, E < U_j, depending on the double barrier geometry. In contrast, for higher energies E > \gamma_{1}, we obtain four possible ways for transmission resulting from the two propagating modes. We compute the associated transmission probabilities as well as their contribution to the conductance, study the effect of the double barrier geometry. 
Hasan A. Alshehab, Hocine Bahlouli, Abderrahim El Mouhafid, Ahmed   Jellal
cond-mat.mes-hall math-ph math.MP quant-ph