串接耦合量子點之熱電特性

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花銘遠(Ming-Yuan Hua) 查詢紙本館藏

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電機工程學系

論文名稱

串接耦合量子點之熱電特性
(Thermoelectric Properties of Double Quantum Dots Embedded in a Nanowire)

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摘要(中)

為了瞭解量子點間電子躍遷強度、量子點間庫倫交互作用以及量子點大小變動對熱電特性的影響。我們利用雙能階安德森模型(Two Level Anderson Model)模擬雙量子點崁入奈米線的系統，並討論其熱電特性。其中雙能階安德森模型中包含量子點間電子躍遷、量子點內庫倫交互作用以及量子點間庫倫交互作用。庫倫阻斷情況下的熱流與電流可以利用凱帝旭格林函數的方法(Keldysh-Green’s function technique)計算得知。接著探討此系統在線性響應區間的電導、Seebeck coefficient、熱導以及ZT值。我們發現庫倫交互作用和量子點大小不一致都會抑制ZT值，但量子點間庫倫交互作用強度在大於某個程度後此效應卻幾乎不影響ZT值。

摘要(英)

In order to investigate the influence of electron hopping, interdot Coulomb interaction, and size fluctuation on thermoelectric properties. We simulate thermoelectric properties of double Quantum Dots embedded in a nanowire by a two-level Anderson model which including electron hopping, intradot Coulomb interactions and interdot Coulomb interactions. The charge and heat currents in the Coulomb blockage regime are calculated by Keldysh Green’’s function technique. The electrical conductance, Seebeck coefficient, electronic thermal conductance, and figure of merit (ZT) of the system are calculated in the linear response regime. We find that the figure of merit ZT is markedly reduced by the size fluctuation and Coulomb interactions.

關鍵字(中)

★ 串接耦合量子點之熱電特性

關鍵字(英)

★ Thermoelectric Properties of Double Quantum Dots

論文目次

摘要 I
Abstract II
第一章導論 1
1-1熱電效應與熱電轉換效能係數(Fiure of merit) 1
1-1-1 Seebeck 效應 1
1-1-2 Peliter 效應 3
1-2 熱電元件的發展 4
1-3 研究動機 7
第二章系統模型建構與公式推導 8
2-1 系統模型 8
2-2 熱流與電流推導結果 10
2-3 格林函數的計算與分析 11
2-4 Figure of merit及各項熱電係數的定義 16
第三章熱電效應的模擬 19
3-1 前言 19
3-2 雙量子點間電子躍遷強度對ZT值的效應 19
3-2-1 不考慮聲子熱導的情況下調變tAB 20
3-2-2 聲子熱導存在情況下tAB調變對ZT值的效應 24
3-3 量子點間庫倫交互作用對ZT值的效應 27
3-4 量子點材料與大小對ZT值的效應 29
3-4-1 考慮不同雙量子點能階情況並討論ZT值 29
3-4-2 量子點尺寸不一致的情況下討論ZT值 33
第四章結論 35
參考文獻 37
圖目錄
圖 1 - 1 Seebeck效應(熱電耦熱電元件) 2
圖 1 - 2 Pelitier 效應(熱電製冷器) 3
圖 1 - 3 Skutterudite結構示意圖 5
圖 2 - 1串聯雙量子點崁入奈米線系統示意圖 8
圖 3 - 1 調變電子跳躍強度tAB，電導Ge、S (Seebeck coefficient)、電子熱導ke、ZT值與溫度變化的關係圖 22
圖 3 - 2變化電子跳躍強度S2、Ge/ke與溫度的關係圖 23
圖 3 - 3調控不同tAB，羅倫茲數(Lorenz number)與溫度作圖 24
圖 3 - 4不同tAB情況下(a)忽略kph的ZT與溫度關係圖 (b)考慮kph的ZT與溫度關係圖 25
圖 3 - 5 ke/kph與溫度關係圖 26
圖 3 - 6在不同tAB的情況下，S2、Ge/k及ZT與溫度的關係圖 27
圖 3 - 7電導、熱電系數(Seebeck Coefficient)、ZT在改變不同的UAB下對溫度做圖 28
圖 3 - 8電導、熱電系數(Seebeck Coefficient)、ZT在改變不同的UAB下對溫度的做圖 29
圖 3 - 9改變不同能階情況各個參數與溫度關係圖 30
圖 3 - 10改變不同能階情況Ge與溫度關係圖 31
圖 3 - 11改變不同能階情況功率係數與溫度關係圖 33
圖 3 - 12 固定量子點B的能階EB=EF+32?0改變量子點A能階 34
表目錄
表2-1 電子總能(Hamiltonian)之算符與其物理意義 9
表2-2 熱流及電流參數定義 10
表2-3 系統推遲格林函數之機率因子 12
表2-4 機率因子與其物理意義 13

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指導教授

郭明庭(Ming-Ting Kuo)

審核日期

2011-6-23

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