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題名 | Mechanical and Optical Properties of InAs/GaAs Self-Assembled Quantum Dots=砷化銦/砷化鎵自聚式量子點之機械與光學特性 |
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作者 | 林資榕; 郭茂坤; 廖柏亭; 洪國彬; | 書刊名 | 國立臺灣大學工程學刊 |
卷期 | 91 2004.06[民93.06] |
頁次 | 頁3-14 |
專輯 | 應用力學專輯 |
分類號 | 448.552 |
關鍵詞 | 自聚式量子點; 應變場; 有限元素法; 薛丁格方程式; Self-assembled quantum dot; Strain field; Finite element method; FEM; Schrodinger equation; |
語文 | 英文(English) |
中文摘要 | 本文旨在介紹自聚式量子點的特性、製程與應用,並以砷化銦/砷化鎵 (InAs/GaAs) 為基礎的自聚式量子點為例,分析其機械及光學特性。文中首先以線彈性力學理論,配合有限元素法套裝軟體,估算量子點內因異質材料間的晶格不匹配所引致的應變場分佈;再將此應變場效應,經由變形勢能,加入於薛丁格方程式中,而同樣以有限元素法分析,藉以評估應變效應對於導電帶、價電帶的特徵能量與電子、電洞機率密度函數分佈之影響,進而得到能帶間的電子躍遷能量與發光波長。由模擬結果得知,電子躍遷能量隨著量子點尺寸的增大而減小,亦即發光波長隨著量子點的增大而變長,此結果與文獻上的現象十分吻合。 |
英文摘要 | This article reviews the properties, growth mechanics, and applications of self-assembled quantum dots. A model based on theory of linear elasticity is developed to analyze the strain field induced by lattice-mismatch between quantum dot and substrate. The induced strain field is then incorporated, with the aid of the Pikus-Bir Hamiltonian and Luttinger-Kohn formalism, into the three- dimensional steady-state effective mass Schrodinger equation. Both the strain field and the solutions of the Schrodinger equations are solved numerically by using of a commercial finite element package. The energy levels as well as the wave functions of both conduction and valence bands of quantum dots are calculated. Finally energies of interband optical transitions are then obtained in numerical experiments. Numerical results show that the transition energy decreases with increasing of the dot size. This phenomenon agrees well with the previous results reported by others. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。