有限長度扶手椅型石墨烯奈米帶和異質結構的非線性區域電荷傳輸

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姓名

許展繁(Chan-Fan Hsu) 查詢紙本館藏

畢業系所

電機工程學系

論文名稱

有限長度扶手椅型石墨烯奈米帶和異質結構的非線性區域電荷傳輸
(Charge Transport Through the Topological States of Finite Armchair Graphene Nanoribbons and Heterostructures)

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摘要(中)

在本篇論文中，會針對有限長扶手椅型石墨烯奈米帶(Armchair Graphene
nanoribbons, AGNR)，和異質結構去進行討論。並特別專注在庫侖阻塞(Coulomb blockade)和包利自旋阻塞區域(Pauli spin blockade, PSB)的電荷傳輸。研究方法採用了考慮了局部化狀態內和局部化狀態間的庫侖相互作用的雙局部化態Hubbard模型。藉由這個模型，我們計算了串聯耦合拓樸態(serially coupled TS, SCTS)的穿隧電流。在有限長度AGNR我們發現經過串聯耦合拓樸態的穿隧電流具有負微分電導(negative differential conductance, NDC)的特性，且該電流是由拓樸態間庫侖交互作用產生而非拓樸態內庫侖交互作用。除此之外，我們還觀察到AGNR在非對稱系統中由於拓樸態間庫侖交互作用而出現的電流整流行為。最後，我們還發現了9-7-9 AGNR異質結構在包利自旋阻塞的配置中具有顯著的電流整流行為。

摘要(英)

In this thesis, we will discuss finite-length and heterostructure AGNR with particular focus on charge transport in the Coulomb blockade and PSB regimes. The research approach employs a two-site Hubbard model considering both intra-site and inter-site Coulomb
interactions. By this model, we calculate the tunneling current of SCTS. We observe NDC characteristics in tunneling current through SCTS in finite-length AGNRs, and this current arises from inter-site Coulomb interactions rather than intra-site Coulomb interactions. Furthermore, we also observe current rectification behavior in the asymmetric junction of finite AGNRs because of inter-site Coulomb interactions. Finally, we also identified the significant current rectification behavior of SCTS of 9-7-9 AGNR heterostructures in the PSB configuration.

關鍵字(中)

★ 扶手椅型石墨烯奈米帶
★ 異質結構
★ 拓樸態
★ 泡利自旋阻塞
★ 自旋電流

關鍵字(英)

★ Armchair graphene nanoribbons
★ Heterostructures
★ Topological states
★ Pauli spin blockade
★ Spin current

論文目次

目錄
摘要 .................................................................. I
Abstract ............................................................. II
目錄 ................................................................ III
圖目錄 ................................................................ V
表目錄 .............................................................. VII
第一章、導論 .......................................................... 1
1-1 前言 ........................................................................................................................ 1
1-2 石墨烯 .................................................................................................................... 2
1-3 石墨烯奈米帶 ........................................................................................................ 3
1-4庫侖阻塞和包利自旋阻塞 ..................................................................................... 4
1-4-1 庫侖阻塞 .................................................................................................... 4
1-4-2 包利自旋阻塞 ............................................................................................ 5
1-5 研究動機 ................................................................................................................ 7
第二章、系統模型與電流公式 ............................................ 8
2-1系統模型 ................................................................................................................. 8
IV

2-2系統總能 ................................................................................................................. 9
2-3 電流公式 .............................................................................................................. 10
第三章、受庫侖阻塞效應影響的AGNR拓樸態電荷傳輸模擬及分析 ........... 15
3-1前言 ....................................................................................................................... 15
3-2拓樸態間庫侖交互作用對電荷傳輸的影響 ....................................................... 15
3-3有效穿隧率對電荷傳輸的影響 ........................................................................... 16
3-4軌道偏移對電荷傳輸的影響 ............................................................................... 18
3-5非對稱結構對電荷傳輸的影響 ........................................................................... 19
第四章、在包利自旋阻塞配置下通過9-7-9 AGNR異質結構的電荷傳輸 ........ 22
4-1不同有效穿隧率對電流整流行為的影響 ........................................................... 22
4-2在PSB配置下的相關函數 .................................................................................. 23
4-3弱耦合下的穿隧電流 ........................................................................................... 24
第五章、結論 ......................................................... 26
參考文獻 ............................................................. 27

參考文獻

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指導教授

郭明庭(Ming-Ting Kuo)

審核日期

2024-6-25

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