Modeling of Electron Transmittance and Tunneling Current through a Trapezoidal Potential Barrier by Considering the Spin Polarization Effect

A modeling of the transmittance and tunneling current through a trapezoidal potential barrier was developed by taking into account the spin polarization of the electrons. The transmittance was calculated by using an Airy wavefunction approach and employing a zinc-blende material for the barrier in the heterostructure, which depends on the spin states indicated as 'up' and 'down'. The obtained transmittance was then used to calculate the tunneling current by using the Gauss-Laguerre quadrature method. It was shown that the transmittance is not symmetric with the incident angle of the electron. It was also shown that the tunneling current increases with increasing the bias voltage and tends to be constant in a high voltage regime.