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  • 學位論文

硒化鉛量子點陣列的穿隧能譜對尺寸之相關性

Size dependence in tunneling spectra of PbSe quantum-dot arrays

指導教授 : 簡紋濱

摘要


由於硒化鉛的激子波耳半徑,比其他二六族或三五族的材料還大(aB = 46 nm),造成溶膠法所製備之硒化鉛量子點的量子局限效應更為顯著,且表現出其他材料量子點所沒有的特殊量子效應。不僅如此,硒化鉛較大的介電常數(εm = 23),彰顯電荷的屏蔽效果,並增強電容耦合效應。在過去的許多研究報告中,已指出量子陣列系統的電性是複雜,且不容易由簡單理論來解釋。直到目前為止,文獻上對於由單顆量子點所組裝而成的二維量子陣列之尺寸效應,及量子點間的電容耦合也尚未有完整的報導。 在本實驗中,我們控制量子陣列的成長條件,使膠體硒化鉛量子點在Au(111)表面上,自組裝成不同尺寸大小的量子點陣列,並且分別在室溫及液態氮溫度,利用掃描穿隧電流顯微鏡來觀測此量子點陣列的掃描穿隧能譜。在數據分析上,我們先用雙穿隧接面模型,分析不同尺寸陣列的I-V曲線,進而得到樣品與基板的等效電容與陣列尺寸關係。從電容的緩慢遞增和飽和現象中,發現量子陣列是不能被視為單一導電島嶼,亦不能完全忽略量子點與量子點間耦合的效應。為了解是此量子點陣列的電容偶合與尺寸關係,我們將使用集體傳輸理論,試圖了解電荷經過此陣列的傳輸行為。

並列摘要


Interdot Coulomb interactions and collective Coulomb blockade were theoretically argued to be a newly important topic and experimentally identified in semiconductor quantum dots, formed in the gate confined two-dimensional electron gas system. The developments of the cluster science and colloidal synthesis accelerated the studies of electron transport in colloidal nanocrystal or quantum-dot solids. To study the interdot coupling, various sizes of two-dimensional arrays of colloidal PbSe quantum dots are self-assembled on flat gold surfaces for scanning tunneling microscopy and scanning tunneling spectroscopy measurements at both room and liquid-nitrogen temperatures. The tip-to-array, array-to-substrate, and interdot capacitances are evaluated and the tunneling spectra of quantum-dot arrays are analyzed by the theory of collective Coulomb blockade. The current-voltage of PbSe quantum-dot arrays conforms properly to a scaling power law function. In this study, a dependence of tunneling spectra on sizes (numbers of quantum dots) of arrays is reported and the capacitive coupling between quantum dots in the arrays is explored.

參考文獻


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