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In this paper, the principle of spatial nonlocal empirical pseudopotential and its detailed calculation procedure is presented. Consequently, this technique is employed to calculate the band structures of Silicon and Germaniun. By comparing the results with photoemission experimental data, the validity and accuracy of this calculation are fully conformed for valence or conductance band, respectively. Thus it can be concluded that the spin-orbit Hamiltonian will only affect the energy band gap and another conductance or valence band structure. Therefore, this nonlocal approach without spin-orbit part is adequate for the device simulation of only one carrier transport such as metal oxide semiconductor field effect transistors (MOSFET)’s, and it can significantly reduce the complication of band structure calculation.
In this paper, the principle of spatial nonlocal empirical pseudopotential and its detailed calculation procedure is presented. By comparing the results with photoemission experimental data, the validity and accuracy of this calculation is fully conformed for valence or conductance band, respectively. Thus it can be concluded that the spin-orbit Hamiltonian will only affect the energy band gap and another conductance or valence band structure. Thus, this nonlocal approach without spin- orbit part is adequate for the device simulation of only one carrier transport such as metal oxide semiconductor field effect transistors (MOSFET) ’s, and it can significantly reduce the complication of band structure calculation.