effect of barrier’s geometry on the transport properties of gaussian wave-packet in the presence of rashba and dresselhaus spin-orbit interactions: comparison of high-energy and low-energy wave-packets

A gaussian wave-packet quantum tunneling across a one-dimensional double-barrier structure has been explored in order to obtain the spin-based transport coefficients. we have used a split-step finite difference method to solve the resulting nonlinear coupled schrodinger equations. the related behavior of scattering properties of the system as a function of the geometry of the barriers in the presence of rashba and dresselhaus spin-orbit interactions for high-energy and low-energy wave-packets have been compared. evidence showed that the presence of rashba or dresselhaus sois leads to considerable spin polarization in the wave-packet components. based on the results, it is found that the wave-packet velocity plays a significant role in the tunneling process of the gaussian wave-packet through quantum barriers. in addition, by tuning the rashba and the dresselhaus coupling strengths, the energy of the wave-packet, and the characteristics of the system, one can control the spin polarization of the wave-packet and its propagation coefficients.