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研究生： 郭哲華
論文名稱： Analyzing Band Structures of Semiconductors by The k.p Method
指導教授： 陳柏中
口試委員:
學位類別： 碩士
Master
系所名稱： 理學院 - 物理學系
Department of Physics
論文出版年： 2006
畢業學年度： 94
語文別： 英文
論文頁數： 38
中文關鍵詞： semiconductor
相關次數： 點閱：1  下載：0 
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    • In this thesis, we discuss about the band structure of semiconductors by
    k•p method. To understand the method and the property of semiconductors,
    we will prove the consequence and introduce another methods in brief.
    An easy situation we simplify the band structure of semiconductors, we
    just use one valence band to represent a clear circumstance. From this we
    could expand to 3-dimentions to approximate real bands of p orbit.
    The Lowdin’s perturbation method and Luttinger operator are also what
    we want to discuss in spin-orbital coupling situation. Then we will compare
    the results from different approximate methods.

    1 Introduction 1 2 Proving The k • p Method 3 2.1 Symmetry of Crystal . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Function from One-Electron Schr¨odinger equation . . . . . . . 4 2.3 Effective Mass of a Nondegenerate Band Using the k • p Method 5 3 Simplifying Band Structures 7 3.1 One Valence Band in Semiconductors . . . . . . . . . . . . . . 7 3.2 Three Valence Bands in Semiconductors . . . . . . . . . . . . 8 4 Realistic Band Strustures 12 4.1 Spin-orbital operator Hso without coupling . . . . . . . . . . . 12 4.2 Spin-orbital coupling J . . . . . . . . . . . . . . . . . . . . . . 14 5 L¨owdin’s Perturbation Method 21 5.1 Perturbation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 5.2 Dispersion the Matrix of J = 3 2 . . . . . . . . . . . . . . . . . 24 6 Kohn-Luttinger Operator 29 6.1 Kohn-Luttinger parameters . . . . . . . . . . . . . . . . . . . 29 6.2 Comparing with Hp . . . . . . . . . . . . . . . . . . . . . . . . 32 7 Conclusion 35

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