Klein Tunneling in Uniaxial Strained Graphene under Super-Periodic Potential

In this article, we employ the transfer matrix method (TMM) to analytically explore the impact of uniaxial strain on electron scattering in graphene under locally periodic and super-periodic electrostatic potential. Our study reveals that strain significantly influences electron transmission through the merging parameter $(\delta)$, which modulates the Dirac cone positions. a positive merging parameter ($\delta > 0$) reduces the transmission probability by opening an energy gap at the merging point, while a negative merging parameter ($\delta < 0$) enhances transmission by bringing the Dirac cones closer, facilitating electron transport at certain angles. However, the resonance peaks in super-periodic potential (SPP) are sharper for $\delta < 0$, making them more pronounced but increasingly difficult to resolve as the number of barriers increases.