庫倫阻塞效應在有限長度扶手椅石墨烯奈米帶熱電特性

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姓名

楊翰偉(Han-Wei Yang) 查詢紙本館藏

畢業系所

電機工程學系

論文名稱

庫倫阻塞效應在有限長度扶手椅石墨烯奈米帶熱電特性
(Effect of Colomb Blockade on Thermoelectric Properties of Finite Armchair Graphene Nanoribbons)

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摘要(中)

我們對石墨烯奈米帶（AGNRs）和異質結構的拓撲態（Topological States）在庫倫阻塞區域內的熱電性能進行了理論研究。採用包括局部內態和局部間態庫倫相互作用的雙局部態哈伯德模型，我們分析了這些材料的拓撲態。我們的探索集中在有限 AGNRs 的電導率（Ge）、塞貝克系數（S）和電子熱導率（ke）。有趣的是，我們發現在低溫下，塞貝克系數對多體效應的敏感性比電導率更大。此外，我們觀察到高溫下優化的塞貝克系數受到電子庫倫相互作用的影響較小，與 Ge 和 ke 相比。這項研究為我們理解庫倫阻塞效應對 AGNRs 和異質結構中拓撲態的電荷傳輸提供了寶貴的見解。

摘要(英)

We conducted theoretical investigations into the thermoelectric properties of topological states in armchair graphene nanoribbons (AGNRs) and heterostructures within the Coulomb blockade regime. Employing a two-site Hubbard model that incorporates intra-localized state and inter-localized state Coulomb interactions, we analyzed the topological states (TS) of these materials. Our exploration focused on the electrical conductance (Ge), Seebeck coefficient (S), and electronic thermal conductance (ke) of finite AGNRs. Intriguingly, we discovered that at low temperatures, the Seebeck coefficient demonstrates greater sensitivity to many-body effects compared to conductance. Furthermore, we observed that the optimized Seebeck coefficient at high temperatures is less affected by electron Coulomb interactions in comparison to Ge and ke. This investigation provides valuable insights into understanding the Coulomb blockade effect on the charge transport of topological states in AGNRs and heterostructures.

關鍵字(中)

★ 石墨烯
★ 石墨烯奈米帶
★ 庫倫阻塞效應

關鍵字(英)

★ graphene
★ graphene nanoribbons
★ Coulomb blockade effect

論文目次

摘要 I
Abstract II
目錄 III
圖目錄 V
第一章、導論 1
1-1 前言 1
1-2 熱電效應 2
1-3 石墨烯 4
1-4石墨烯奈米帶……………………………………………………………………..5
1-5 電子跳躍效應與庫倫交互作用 7
1-5-1電子跳躍效應……………………………………………………………..7
1-5-2庫倫交互作用…………………………………………………………......8
1-6 研究動機 9
第二章、系統模型與公式 11
2-1系統模型 11
2-2系統電子總能 14
2-3 熱電係數 16
2-4電荷傳輸 18
第三章、庫倫阻塞對AGNR之鋸齒邊緣的電荷傳輸的模擬與分析 23
3-1 SCTSs的熱電係數(不考慮庫倫交互作用) 23
3-2線性響應範圍下庫倫交互作用對電荷傳輸的影響 24
3-3相關函數(Correlation functions, CF)....................................................................25
3-3-1電子自旋組態辨別....................................................................................27
3-4熱電系數 28
3-5溫度對熱電系數的影響 31
3-6穿隧率對熱電系數的影響....................................................................................35
第四章、結論 39
參考文獻 41

參考文獻

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指導教授

郭明庭

審核日期

2024-6-25

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