Statistical magnitudes and the chiral tunneling in bilayer graphene: Influence of evanescent waves

• A quantum scattering process across a potential barrier in bilayer graphene is considered.
• The statistical complexity and the Fisher–Shannon information are computed for the chiral tunneling in bilayer graphene.
• These magnitudes show the influence of the evanescent waves on the transmission of the electronic flux through the barrier.

The problem of the chiral (Klein-like) tunneling across a potential barrier in bilayer graphene is addressed. The electron wave functions are treated as massive chiral particles. This treatment allows us to compute the statistical complexity and Fisher–Shannon information for each angle of incidence. The comparison of these magnitudes with the transmission coefficient through the barrier is performed. The role played by the evanescent waves on these magnitudes is disclosed. Due to the influence of these waves, it is found that the statistical measures take their minimum values not only in the situations of total transparency through the barrier, a phenomenon highly anisotropic for the chiral tunneling in bilayer graphene.