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博碩士論文 etd-0811117-130933 詳細資訊
Title page for etd-0811117-130933
論文名稱 Title |
在摻雜過渡金屬鉍化鎵蜂巢狀結構上預測量子異常霍爾效應 Prediction of Quantum Anomalous Hall Effect in Transition Metal-doped GaBi honeycomb |
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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 |
31 |
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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 |
2017-09-07 |
繳交日期 Date of Submission |
2017-09-11 |
關鍵字 Keywords |
量子異常霍爾效應、量子自旋霍爾效應、鉍化鎵、過渡金屬、陳數、Z2拓撲不變量、第一原理 GaBi, Transition metal, Chern number, Z2 Topological invariant, Quantum anomalous Hall effect, First principle, Quantum spin Hall effect |
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統計 Statistics |
本論文已被瀏覽 5660 次，被下載 20 次 The thesis/dissertation has been browsed 5660 times, has been downloaded 20 times. |
中文摘要 |
利用第一原理計算，研究過渡金屬 (鈧、鈦、釩、鈷和鎳) 摻雜鉍化鎵蜂巢結構的量子異常霍爾效應及量子自旋霍爾效應。計算摻雜系統的陳數 (Chern number) 與 Z2 不變量 (Z2 invariant) 作為確認其拓撲性質的方法。在分別摻雜釩的系統，能發現陳數為 -3 的量子異常霍爾絕緣體;而在摻雜鈧的系統中，經由 Z2 不變量的計算，發現其為量子自旋霍爾效應。最後摻雜鈦、鎳、鈷原子的鉍化鎵在最低能量結構是量子異常霍爾半金屬。此研究關於量子異常霍爾絕緣體的預測，可做為未來自旋元件發展之參考資料。 |
Abstract |
We studied the quantum anomalous Hall effect and quantum spin Hall effect in honeycomb GaBi doped with transition metals (Sc, Ti, V, Co, Ni) using first-principles electronic structure calculations. We calculated the Chern number and Z2 invariant to identify the topology phase of the materials. In V-doped systems we found the QAH Insulator phase, in which the Chern numbers are equal to -3. Moreover, in Sc-doped systems we found the QSH Insulator phase by calculated Z2 invariant. Finally, we found the quantum spin anomalous Hall effect in Ti-, Ni- and Co-doped system at the lowest energy structure. Our results predicted the quantum anomalous Hall insulator, and could be used in potential spintronic device applications due to its tunability and its transport property. |
目次 Table of Contents |
論文審定書........................................................................................................................ i 致謝................................................................................................................................... ii 中文摘要.......................................................................................................................... iii 英文摘要.......................................................................................................................... iv 目錄 ................................................................................................................................... v 1.緒論 ............................................................................................................................... 1 2.理論與計算方法........................................................................................................... 3 2.1 貝里相位 ............................................................................................................... 3 2.2 拓撲不變量 ........................................................................................................... 5 2.2.1 陳數 ............................................................................................................. 5 2.2.2 Z2 不變量 .................................................................................................... 6 2.3 計算參數 ............................................................................................................... 7 2.4.1 過渡金屬摻雜鉍化鎵結構介紹......................................................................... 8 3.結果與討論 ................................................................................................................10 3.1 鈦摻雜鉍化鎵結構 ............................................................................................. 10 3.2 鎳摻雜鉍化鎵結構 ............................................................................................. 13 3.3 釩摻雜鉍化鎵結構 ............................................................................................. 15 3.4 鈧摻雜鉍化鎵結構 ............................................................................................. 17 3.5 鈷摻雜鉍化鎵結構 ............................................................................................. 19 4.結論..............................................................................................................................22 參考文獻......................................................................................................................... 23 |
參考文獻 References |
[1] Weng, H.; Yu, R.; Hu, X.; Dai, X.; Fang, Z. Adv. Phys. 2015, 64, 227-282. [2] Qi, X.-L.; Wu, Y.-S.; Zhang, S.-C. Phys. Rev. B. 2006, 74, 085308. [3] He, K.; Wang, Y.; Xue, Q.-K. Natl. Sci. Rev. 2014, 1, 38-48. [4] He, K. Physics 2015, 8, 41. [5] Klitzing, K.V.;Dorda, G. and Pepper, M. Phys. Rev. Lett. 1980, 45, 494. [6] C.L. Kane and E.J. Mele, Phys. Rev. Lett. 95, 226801 (2005). [7] Y. Xu, B. Yan, H.-J. Zhang, J. Wang, G. Xu, P. Tang, W. Duan, and S.-C. Zhang, Phys. Rev. Lett. 111, 136804 (2013). [8] B.-H. Chou, Z.-Q. Huang, C.-H. Hsu, F.-C. Chuang, Y.-T. Liu, H. Lin, and A. Bansil, New J. Phys. 16, 115008 (2014). [9] C.-C. Liu, S. Guan, Z. Song, S.-A. Yang, J. Yang, and Y. Yao, Phys. Rev. B 90, 085431 (2014). [10] Z. Song, C.-C. Liu, J. Yang, J. Han, M. Ye, B. Fu, Y. Yang, N. Qian, J. Lu, and Y. Yao, Asia Mat. 6, 147 (2014). [11] L. Chen, G. Cui, P. Zhang, X. Wang, H. Liu, and D. Wang, Phys. Chem. Chem. Phys. 16, 17206 (2014). [12] Wu, S.-H.; Shan, G.; Yan, B. Phys. Rev. Lett. 2014, 113, 256401. [13] Liu, C.-C.; Zhou, J.-J.; Yao, Y. Phys. Rev. B 2015, 91, 165430. [14] Jin, K.-J.; Jhi, S.-H. Sci. Rep. 2015, 5, 8426. [15] Zhou, T.; Zhang, J.; Zhao, B.; Zhang, H.; Yang, Z. Nano Lett. 2015, 15(8), 5149- 5155. [16] Chen, S.-P.; Huang, Z.-H.; Crisostomo, C. P.; Hsu, C.-H.; Chuang, F.-C.; Lin, H.; Bansil, A. Submitted 2016. [17] Crisostomo, C. P.; Huang, Z.-H.; Hsu, C.-H.; Chuang, F.-C.; Lin, H.; Bansil, A. Submitted 2016. [18] Crisostomo, C. P.; Yao, L.-Z.; Huang, Z.-Q.; Hsu, C.-H.; Chuang, F.-C.; Lin, H.; Albao, M. A.; Bansil, A. Nano Lett. 2015, 15(10), 6568-6574. [19] Yao, L.-Z.; Crisostomo, C. P.; Yeh, C.-C.; Lai, S.-M.; Huang, Z.-Q.; Hsu, C.-H.; Chuang, F.-C.; Lin, H.; Bansil, A. Sci. Rep. 2015, 5, 15463. [20] Li, L.; Zhang, X.; Chen, X.; Zhao, M. Nano Lett. 2015, 15(2), 1296. [21] Zhao, M.; Chen, X.; Li, L.; Zhang, X. Sci. Rep. 2015, 5, 8441. [22] Wu, S.-H.; Shan, G.; Yan, B. Phys. Rev. Lett. 2014, 113, 256401. [23] Liu, C.-C.; Zhou, J.-J.; Yao, Y. Phys. Rev. B 2015, 91, 165430. [24] Jin, K.-J.; Jhi, S.-H. Sci. Rep. 2015, 5, 8426. [25] Zhou, T.; Zhang, J.; Zhao, B.; Zhang, H.; Yang, Z. Nano Lett. 2015, 15(8), 5149- 5155. [26] Chen, S.-P.; Huang, Z.-H.; Crisostomo, C. P.; Hsu, C.-H.; Chuang, F.-C.; Lin, H.; Bansil, A. Submitted 2016. [27] Crisostomo, C. P.; Huang, Z.-H.; Hsu, C.-H.; Chuang, F.-C.; Lin, H.; Bansil, A. Submitted 2016. [28] Qiao, Z.; Yang, S. A.; Feng, W.; Tse, W.-K.; Ding, J.; Yao, Y.; Wang, J.; Niu, Q. Phys. Rev. B 2010, 82, 161414(R). [29] Thouless, D. J.; Kohmoto, M.; Nightingale, M. P.; den Nijs, M. Phys. Rev. Lett. 1982, 49, 405. [30] Kane, C. L.; Mele, E.J. Phys. Rev. Lett. 2005, 95, 146802. [31] Kresse, G.; Furthmüller, J. Phys. Rev. B 1996, 54, 11169. [32] Perdew, J. P.; Burke, K.; Ernzerhof, M. Phys. Rev. Lett. 1997, 78, 1396. [33] Kresse, G.; Joubert, D. Phys. Rev. B 1999, 59. 1758. [34] Monkhorst, H. J.; Pack, J. D. Phys. Rev. B 1976, 13, 5188. [35] Kohn, W.; Sham, L. J. Phys. Rev. 1965, 140, A1133. |
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