在本論文中,我們藉由Anderdson model及凯帝旭格林函數的技巧來探討單電子電晶體的微分電導譜線特性,希望能將單電子電晶體應用在生醫感測與溫度檢測的領域。在生醫感測的部分,利用金屬奈米粒子包覆量子點殼層的奈米結構,觀察平行耦合量子點的微分電導譜線。我們會發現金屬奈米粒子造成的電子-電漿子交互作用(EPIs)會修正量子點能階、量子點內(間)庫倫交互作用力、電子跳躍強度以及穿隧率,同時也會在微分電導譜線看到電漿子輔助穿隧的機制。在溫度檢測的部分,我們與過去的文獻做比較,利用一般的單量子點奈米結構,探討微分電導譜線與溫度的關係,觀察量子點內庫倫交互作用力、穿隧率以及電位勢造成的量子點能階偏移對微分電導譜線半高寬與溫度的比值有何影響,看是否能如同文獻將微分電導譜線應用於溫度檢測。;In this thesis we have theoretically studied the transport properties of a metal core/semiconductor shell quantum dot molecule (QDM) embedded in a matrix connected to metallic electrodes in the framework of Keldysh Green function technique. The effects of the electron plasmon interactions (EPIs) on the tunneling current spectra of QDM are examined. The energy levels of the QDs, intradot and interdot Coulomb interactions, electron interdot hopping strengths, and tunneling rates of QDs are renormalized by the EPIs. The differential conductance spectra show peaks arising from the plasmon assisted tunneling process, intradot and interdot Coulomb interactions, and coherent tunneling between the QDs. We also discussed the application of QD thermometer. We found that the differential conductance of tunneling current is highly sensitive to physical parameters. Such a feature indicates that the measurement of differential conductance may not a good tool to design nanothermometer. Instead of differential conductance, we propose that Seebeck coefficient has the promising potential to design QD thermometer.