Quantum Mechanical Analysis for the Numerical Calculation of Two-Dimensional Electron Gas(2DEG)

2 차원 전자개스(2DEG)의 수치적 연산을 위한 양자역학적 분석

This paper analyzed arbitrary Energy band profile heterostructures by solving Schrodinger\`s equation the Poisson's equation self-consistently. Four different concentrations positively ionized donors holes in the valence band free electrons in the conduction band and 2DEG are taken to account for the whole system. 2DEG from both of the structures are obtained and compared with the data available in the literatures. Differential capacitances are also calculated from the concentration profiles obtained. Finally theoretical predictions for both of 2DEGs and the capacitances show good agreement with the experimental data referred in this study.