Numerical simulation of energy states for vertically aligned quantum dots array by second order finite dierence scheme

• Main Author: 顏瑋廷
• Other Authors: 黃聰明
• Format: Others
• Language: en_US
• Online Access: http://ndltd.ncl.edu.tw/handle/29690318095801130444

碩士 === 國立臺灣師範大學 === 數學系 === 94 === We present a simple numerical method to investigate the electronic properties of a three-dimensional quantum dot array model formed by di erent size vertically aligned quantum dots. The corresponding Schr¨odin-ger equation is discretized using the finite di erence method with a constant electron mass and confinement potential. The scheme is 2nd order accurate and converges extremely fast. In this paper, we propose numerical schemes to compute the energy levels of various QDA structures and research the existence of the anti-crossing and crossing eigencurve for QDA formed by two disk-shaped co-axial QDs with different size.