From Klein to anti-Klein tunneling in graphene tuning the Rashba spin-orbit interaction or the bilayer coupling

TL;DR

This paper demonstrates how tuning Rashba spin-orbit interaction or bilayer coupling in graphene can switch electron tunneling behavior from perfect transmission to perfect reflection, revealing complex intermediate regimes with oscillations.

Contribution

It provides a theoretical analysis of how to control Klein and anti-Klein tunneling in graphene by adjusting specific coupling parameters.

Findings

Transition from Klein to anti-Klein tunneling by tuning parameters

Oscillatory behavior in transmission amplitude in intermediate regimes

Resonances observed as a function of coupling and potential

Abstract

We calculate the transmission coefficient for a particle crossing a potential barrier in monolayer graphene with Rashba spin-orbit coupling and in bilayer graphene. We show that in both the cases one can go from Klein tunneling regime, characterized by perfect normal transmission, to anti-Klein tunneling regime, with perfect normal reflection, by tuning the Rashba spin-orbit coupling for a monolayer or the interplane coupling for a bilayer graphene. We show that the intermediate regime is characterized by a non-monotonic behavior with oscillations and resonances in the normal transmission amplitude as a function of the coupling and of the potential parameters.