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.

Keywords:

Rashba Spin-Orbit interaction , Dresselhaus Spin-Orbit interaction , spin-polarizedGaussian wave-packet , transmission coefficient , reflection coefficient , trapping coefficient