Comparison of Electron Transmittance and Tunneling Current through a Trapezoidal Potential Barrier with Spin Polarization Consideration by using Analytical and Numerical Approaches

2nd Materials Research Society of Indonesia Meeting

Nabila, Ezra^1 ; Noor, Fatimah A.^1 ; Khairurrijal^1

Physics of Electronic Materials Research Division, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung

40132, Indonesia^1

关键词: Airy function;    Analytical calculation;    Barrier widths;    Electron energies;    Numerical approaches;    Potential barriers;    Spin-orbit effects;    Tunneling current;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/214/1/012038/pdf
DOI  :  10.1088/1757-899X/214/1/012038

来源: IOP

【 摘 要 】

In this study, we report an analytical calculation of electron transmittance and polarized tunneling current in a single barrier heterostructure of a metal-GaSb-metal by considering the Dresselhaus spin orbit effect. Exponential function, WKB method and Airy function were used in calculating the electron transmittance and tunneling current. A Transfer Matrix Method, as a numerical method, was utilized as the benchmark to evaluate the analytical calculation. It was found that the transmittances calculated under exponential function and Airy function is the same as that calculated under TMM method at low electron energy. However, at high electron energy only the transmittance calculated under Airy function approach is the same as that calculated under TMM method. It was also shown that the transmittances both of spin-up and spin-down conditions increase as the electron energy increases for low energies. Furthermore, the tunneling current decreases with increasing the barrier width.