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研究生: 莫偉呈
Mo, Wei-Cheng
論文名稱: 成對奈米碳管在外加場下的電子性質
Electronic properties of a pair of carbon nanotubes under external fields
指導教授: 林明發
Lin, Ming-Fa
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: 2007
畢業學年度: 95
語文別: 中文
論文頁數: 50
中文關鍵詞: 能帶結構態密度抑制外加場管與管的交互作用
外文關鍵詞: intertube interaction, external field, band structure, peak, density of state, suppress
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  • 成對奈米碳管於外加均勻場下的電子性質將以緊束模型來研究。低能附近的能帶結構會被管與管的交互作用還有外加場的強度大小、外加方向所影響。管與管之間的交互作用是跟幾何結構有密切的關係,它將會破壞掉雙重簡併也會產生新的能帶,而且會在兩根碳管的原子波函數之間重新混成。在均勻的外加場影響和某些情況之下,能帶的色散將由管與管之間的交互作用被抑制而改變。電子性質將會直接地影響到態密度。態密度所產生的非對稱的峰是來自於拋物線能帶。峰的數量、高度還有位置將會對管與管的交互作用還有外加場的影響而改變。

    Electronic properties of a pair of carbon nanotubes under uniform external fields are studied within the tight-binding model. The low-energy band structures are mainly affected by the intertube interactions, the field strength, and the field direction. The intertube interactions, which are closely related to the geometric structures, could destroy double degeneracy, hybridize the atomic wave functions between tubes, and thus create new subbands. Under uniform external fields, energy dispersion will vary that the intertube interactions are suppressed in some condidions. Electronic properties are directly reflected in the density of states (DOS). DOS exhibits prominent asymmetric peaks due to the parabolic bands. The number, the heights, and the positions of the pronounced peaks are very sensitive to the intertube interactions and the external fields.

    第一章 導論.......................1 第二章 理論與推導.................3 2.1 幾何結構.......................3 2.2 理論推導.......................5 2.3 外加均勻電場...................12 2.4 外加均勻磁場...................14 2.5 態密度........................18 第三章 結果與討論................19 3.1 外加均勻電場...................19 3.2 外加均勻磁場...................26 第四章 結論......................33 References.........................34 Figures............................36

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