Klein tunneling and cone transport in AA-stacked bilayer graphene

Abstract

We investigate the quantum tunneling of electrons in an AA-stacked bilayer graphene (BLG) $n$-$p$ junction and $n$-$p$-$n$ junction. We show that Klein tunneling of an electron can occur in this system. The quasiparticles are not only chiral but are additionally described by a `cone index'. Due to the orthogonality of states with different cone indexes, electron transport across a potential barrier must strictly conserve the cone index and this leads to the protected cone transport which is unique in AA-stacked BLG. Together with the negative refraction of electrons, electrons residing in different cones can be spatially separated according to their cone index when transmitted across an $n$-$p$ junction. This suggests the possibility of `cone-tronic' devices based on AA-stacked BLG. Finally, we calculate the junction conductance of the system.

11 pages, 7 figures; corrected typo, final submitted version

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• Berry phase shift from 2 $\pi$ to $\pi$ in Bilayer graphene by Li-intercalation and sequential desorption
• Goos-Hänchen Shifts in AA-Stacked Bilayer Graphene Superlattices
• Effects of discrete topology on quantum transport across a graphene $n-p-n$ junction: A quantum gravity analogue
• Magic radius of AA bilayer graphene quantum dot
• Substrate effects on transport properties of a biased AA-stacked bilayer graphene
• Charge screening and carrier transport in AA-stacked bilayer graphene: tuning via a perpendicular electric field
• Transport properties in ABC-ABA-ABC trilayer graphene junctions
• Mode-selective cloaking and phase-matching cavity resonances in bilayer graphene transport