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博碩士論文 etd-0611114-212353 詳細資訊
Title page for etd-0611114-212353
論文名稱 Title |
線性自旋軌道耦合半導體之軌道霍爾效應 Orbital Hall effect in k-linear spin-orbit coupled semiconductor systems |
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系所名稱 Department |
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畢業學年期 Year, semester |
語文別 Language |
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學位類別 Degree |
頁數 Number of pages |
56 |
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研究生 Author |
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指導教授 Advisor |
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召集委員 Convenor |
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口試委員 Advisory Committee |
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口試日期 Date of Exam |
2014-06-19 |
繳交日期 Date of Submission |
2014-07-11 |
關鍵字 Keywords |
軌道角動量、自旋軌道耦合、自旋電子學、軌道電子學、霍爾電導率 Hall conductivity, orbital angular momentum, spin-orbit coupling, spintronics, orbitronics |
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統計 Statistics |
本論文已被瀏覽 5717 次，被下載 686 次 The thesis/dissertation has been browsed 5717 times, has been downloaded 686 times. |
中文摘要 |
等效守恆的軌道流是包含了傳統軌道流和力矩軌道流，我用解析的方法來計算線性自旋軌道耦合的本質軌道角動量霍爾效應的電導率，計算出傳統軌道角動量霍爾以及力矩軌道流電導率。我們發現其軌道霍爾電導率的大小與電場以及塊材的相對方位有關。但是軌道角動量力矩電導率大小並不會因旋轉的角度不同而改變。但當我們考慮總自旋流時我們發現總自旋霍爾效應的電導率最大值時恰好是總軌道角動量霍爾效應的最小值。 |
Abstract |
The effective conserved orbital current is composed of the conventional orbital current and the torque orbital current. We use Kubo formula and analytically calculate the intrinsic orbital Hall conductivity in the generic k-linear spin-orbit coupling semiconductor systems. We find that the magnitude of the conventional orbital - Hall conductivity depends on the orientation of the system. Further, when the torque orbital Hall conductivity is considered, the resulting absolute value of the total orbital - Hall conductivity reaches a maximum when the orbital current occurs in the direction with the smallest band splitting. |
目次 Table of Contents |
論文審定書 中文摘要……………………………………………………………………….…..… i 英文摘要………………………………………..………………………………….… ii 目錄………………………………………..………………………………….……… iii 圖次…………………………………………………………………………………… iv 表次…………………………………………………………………………………… vi 第 一 章 緒論………………………………………………………………………. 1 第 二 章 自旋軌道耦合效應……………………………………………………… 4 第 三 章 軌道角動量 ………………………………………………………………8 第 四 章 系統哈密頓算符與連續方程……………………………………………10 第一節 二維系統通用的自旋軌道耦合哈密頓算符…………………………. 10 第二節 軌道角動量的連續方程式…………………………………………… 12 第 五 章 軌道角動量霍爾電導率…………………………………………………15 第 六 章 計算軌道角動量霍爾電導率……………………………………………17 第一節 傳統的軌道角動量霍爾電導率…………..…………………………… 17 第二節 軌道角動量力矩霍爾電導率………………………………………… 22 第 七 章 結果……………………………………………………………………… 31 第一節 傳統的軌道角動量霍爾電導率之上限…..…………………………… 31 第二節 軌道角動量霍爾力矩電導率之上限………………………………… 35 第三節 霍爾電導率與電場方位之研究……………………………………… 39 第 八 章 結論……………………………………………………………………45 參考文獻……………………………………………………….………………………46 |
參考文獻 References |
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