Abstract
Klein tunneling in gapless bilayer graphene, perfect reflection of electrons
injecting normal to a pn junction, is expected to disappear in the presence of
energy band gap, which is induced by the external gates forming the junction
and hence difficult to avoid in experiments. We theoretically show that the
Klein effect still exists in gapped bilayer graphene, provided that the gaps in
the n and p regions are balanced such that the polarization of electron
pseudospin has the same normal component to the bilayer plane in the regions.
We attribute the Klein effect to Berry phase $\pi$ (rather than the
conventional value 2 $\pi$ of bilayer graphene) and to electron-hole and
time-reversal symmetries. We discuss how to observe the effect in experiments.
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