Tunable Klein tunneling using Spin orbit coupling in a 2D EG

Klein tunneling of particles across an electrostatic potential barrier has long been the phenomenon which has captivated both experimentalists and theorists for many years.We discuss the effect of the spin-orbit interaction on the band structure, and wave functions in quasi-two-dimensional electron systems. We then use these states in the matching conditions across a sharp but atomically smooth electrostatic potential barrier to calculate the transmission probability. We employ this result for the tunneling probability in the Landauer-Buttiker formula to calculate the ballistic conductivity. Additionally, we investigate the conditions under which there is Klein tunneling at an angle other than when there is head-on impact.