單顆量子點熱引擎之效率分析

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姓名

蘇倢倫(Jie-Lun Su) 查詢紙本館藏

畢業系所

電機工程學系

論文名稱

單顆量子點熱引擎之效率分析

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摘要(中)

本論文探討在線性區間，單顆量子點連接金屬電極再接外部負載時系統轉換效率。利用格林函數求得電流與熱流，並推算出電導、熱導、席貝克係數與熱電優值( ZT )，最後得到轉換效率。在改變冷端溫度時系統轉換效率下降，而改變兩端溫差則使效率上升。同時，發現熱電優值越大，則轉換效率則以兩端溫差決定，類似卡諾引擎。除此之外，聲子熱導會明顯的抑制效率大小，因此降低聲子熱導是非常重要的議題。最後，我們討論外部電導對轉換效率的影響。我們發現當系統本身電導與外部電導的比值越靠近√(1+ZT)，則系統轉換效率為最大。

摘要(英)

In linear response regime, we study the efficiency of a single quantum dot (QD) embedded into a matrix connected to two metallic electrodes with a temperature difference. The electrical conductance, thermal conductance, Seebeck coefficient, figure of merit (ZT) and the efficiency (η) of QD junction system are calculated from electron and heat currents which are derived by the Green’s function technique. η is enhanced by increasing a temperature bias at a fixed cold-side temperature, but it is suppressed by increasing a cold-side temperature at a fixed temperature bias. Meanwhile, the behavior of system is similar to a Carnot engine when ZT is infinite. Finally, we have investigated how the η is influenced by the external conductance. The maximum value of η occurs when the ratio between the electrical conductance and external conductance equals to √(1+ZT).

關鍵字(中)

★ 量子點
★ 熱電元件
★ 熱引擎
★ 轉換效率

關鍵字(英)

論文目次

摘要 i
Abstract ii
致謝 iii
目錄 iv
圖目錄 vi
表目錄 viii
第一章導論 1
1-1 前言 1
1-2 熱電效應 1
1-3 熱電元件發展 4
1-4 研究動機 6
第二章單顆量子點熱電系統模型 7
2-1 前言 7
2-2 系統模型建立 8
2-3穿隧電流、熱流與電子傳輸函數 10
2-3-1穿隧電流與熱流 10
2-3-2單一能階系統推遲格林函數 11
2-4熱電優值之各項參數與系統效率 12
2-4-1熱電優值之各項參數 12
2-4-2熱電系統參數 16
第三章單量子點熱電轉換效率模擬 20
3-1前言 20
3-2改變溫度對轉換效率影響 22
3-2-1改變冷端溫度對轉換效率影響 22
3-2-2改變溫度差對轉換效率影響 24
3-2-3改變溫度對熱電優質與效率影響 26
3-3改變聲子熱導對系統轉換效率影響 29
3-4改變外部電導對於系統轉換效率影響 31
第四章結論 34
參考文獻 35

參考文獻

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指導教授

郭明庭、李佩雯

審核日期

2016-7-18

推文