Calculation of the binding energy for hydrogenic impurity in prolate quantum dot

• Main Authors: Yueh-Chuan Lee, 李岳川
• Other Authors: T. J. Yang
• Format: Others
• Language: zh-TW
• Published: 1994
• Online Access: http://ndltd.ncl.edu.tw/handle/24261598408723052698

碩士 === 國立交通大學 === 電子物理學系 === 82 === In this thesis we study the change of electronic binding energy of hydrogenic impurity in the QD(quantum dot) with infinite potential boundary barrier. We take three different cases to survey the tendency of change of binding energy:(i) The QD is lengthened or shortened (ii) the position of impurity deviates from the center of the QD (iii) the volume of the QD is kept constant but the shape of the QD can be gradually chang. The calculational method used in this thesis is based on the theory proposed by Gorecki and Byers Brown in 1989. We improve the contour function so that we get better results. Besides, with our improvement, we can deal prolate QDs problems. No matter where the impurity is, the numerical results show that the binding energy converge quickly. If we fix the volumes of QDs, and lengthen or shorten them, we find that the binding energies change slowly. It reveals that the binding energy and the volume of the QD are closely correlated.