Tunneling in a Rippled Graphene Superlattice with Spin Dependence and a Mass Term

Abstract

The insertion of the band gap 𝚫 in a rippled graphene superlattice leads to new outcomes, as demonstrated. The essential thing is the appearance of opposite-spin transmissions, which increases with 𝚫 and vanishes without it. Furthermore, compared to the 𝚫 = 0 scenario, the duration of the suppression of the transmission with the same spin is longer, with many peaks. The maximum value of transmissions with the same spin declines and remains around unity. Furthermore, for particular energy values, a shift in the behavior of the transmission channels is found. As a result, it is demonstrated that with 𝚫, transmission filtering becomes crucial. Finally, as a result of the band gap, distinct variations in total conductance are discovered.

Spin-dependent transmission in curved graphene superlattice

“…As a result, the spin filtering effect, which is very small in a single corrugation, becomes important with several corrugations. We previously demonstrated that corrugated graphene subjected to an external mass term modifies the tunneling effect [20,21]. In particular, it is found that resonances appear in reflection with the same spin, thus backscattering with a spin-up/-down is not null in ripple and transmission filtering becomes crucial.…”