English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  Items with full text/Total items : 116039/147077 (79%)
Visitors : 58291429      Online Users : 403
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
    •  Adv. Search
    Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer Goto mobile version


    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/157188


    Title: 時間反演對稱性破缺拓墣相中的量子傳輸性質：無序的磁性拓墣絕緣體和機器學習拓墣相
    Quantum Transport in Time-Reversal Symmetry Breaking Topological Phases: Disordered Magnetic Topological Insulator and Machine Learning Topological Phases
    Authors: 許琇娟
    Contributors: 應物所
    Keywords: 拓墣絕緣體;量子奇異霍爾效應;反鐵磁性;機器學習
    topological insulator;quantum anomalous Hall effect;antiferromagnetism;machine learning
    Date: 2021-10
    Issue Date: 2025-05-29 11:57:34 (UTC+8)
    Abstract: 時間反演對稱性破缺和拓墣性質給出很豐富的物質相，然而，反鐵磁拓墣絕緣體以及無序拓 墣奈米線的性質仍待更多理論探討。此計畫案將研究反鐵磁拓墣絕緣體的量子傳導性質，包括旋鎖邊緣態的穩健性、普適電導漲落和拓墣相變，運用Landauer-Buttiker方法計算傳導率以及用Kubo方程計算Berry phase，欲以理論探討及模擬驗證反鐵磁拓墣絕緣體的傳輸及相變，並探討反鐵磁拓墣絕緣體中非零Berry phase的成因以及實現量子奇異霍爾效應產生的條件。另，此計畫也研究一維時間反演破缺奈米線的拓墣性質，將發展 機器學習算法，輸入局部態密度至神經網絡模型，用以預測拓墣性無序系統的拓墣相，並探討其中高Berry phase的拓墣安德森絕緣體的可能性。這項研究，將能理論預測新的拓墣相並理解其基本條件。
    The interplay between time-reversal symmetry breaking and topology gives rise to rich topological phases. However, the properties of antiferromagnetic topological insulator and disordered topological nanowire still need more theoretical investigation. In this study, the transport properties, including the robustness of the helical edge transport, universal conductance fluctuation and topological phase transitions, in antiferromagnetic topological insulator are studied. To describe the transport properties, the conductance and Berry phase will be computed with the Landuer- Buttiker formalism and Kubo formula, respectively. The origin of nonzero Berry phase and conditions for realizing quantum anomalous Hall effect in antiferromagnetic topological insulator will be explored. Moreover, the time-reversal symmetry breaking nanowire is studied in this proposal. To classify the topological phase in disordered systems, a machine learning algorithm will be developed by feeding the local density of states to a neural network model. The possibility of the topological Anderson insulator with larger Berry phase will be explored. The study would bring the understanding of the interplay between time-reversal symmetry breaking terms and topology to a new level.
    Relation: 科技部, MOST108-2112-M004-002-MY2, 108.12-110.07
    Data Type: report
    Appears in Collections:[應用物理研究所 ] 國科會研究計畫

    Files in This Item:

    File Description SizeFormat
    index.html0KbHTML13View/Open


    All items in 政大典藏 are protected by copyright, with all rights reserved.


    社群 sharing

    著作權政策宣告 Copyright Announcement
    1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
    The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

    2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
    NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback