Klein tunneling of semi-Dirac-like fermions in graphene

Abstract

In this work, the Klein tunneling of semi-Dirac-like fermions confined in a single-layer graphene under uniaxial strain is studied. We consider the universal Hamiltonian to obtain the analytical solution for the transmission probability through a two-dimensional electrostatic barrier in the strongly strained graphene at the so-called merging point. In this regard, the numerical results of the transmission probability for several values of the merging parameter are presented. We demonstrate that the barrier would be completely transparent on the normal incidence for all values of the merging parameter. Finally, we turn our attention to obtain the exact solution of the transmission probability for a potential step to better illustrate it.

Quantum Shot Noise Signatures of Two-Dimensional Semi-Dirac System

“…SDMs has been realized in a large variety of systems, including (TiO 2 ) m /(VO 2 ) n nanostructure 18 , strained organic salt 19 , photonic crystals 20 , Bi 1-x Sb x 21 , striped boron sheet 22 , on surface states of topological insulators 23,24 , or in non-centrosymmetric systems 25 such phosphorus-based materials [26][27][28][29][30][31][32] , monolayer arsenene 33 , silicene oxide 34 , and polariton lattice 35 and also shown in α-dice lattice [36][37][38] with higher pseudospin. The electronic transport and shot noise of SDM have been studied extensively in previous works, which establish a Fano factor of F = 1 and F ≈ 0.179 at the band insulator phase with nonzero band gap and at the semimetallic gapless limit, respectively [38][39][40][41][42][43][44][45][46][47] . Nevertheless, 2D SDM can undergo complex topological phase transitions.…”

“…[H, R z ] = 0 with R z being a rotation operator about the ẑ, allows Eq. ( 5) to fully capture the Klein tunneling behavior, as evident under rotation and incident angle 39,43 . However, this cannot be generalized along the parabolic direction due to intervalley scattering [39][40][41]45 .…”