局域聲子在低微度的介觀物理系統中對量子傳輸的影響

Abstract

本論文的研究主要有兩個主題，第一個室探討局域聲子(local phonon)對單電子在一維導線中對量子傳輸特性的影響，第二個是探討當單電子透射(tunnel)位於一維導線中量子點(quantum dot)中局域聲子所產生的影響。在第一個主題中，我們對系統作了許多細節的探討來當作我們研究第二個主題的基礎，包括局域聲子的吸引性或排斥性(attractive or repulsive)，聲子溫度(phonon temperature) ，局域聲子的頻率和重量對單電子在一維導線中傳輸特性的影響 。在第二個主題中，因為我們考慮在局域聲子的影響下量子點的傳輸特性，我們可以將電子侷限在量子點中來使電子的波長變短到可以跟聲子波長可以比較的長度，而且我們可以藉由這各方法來增強聲子側能帶( phonon sideband)效應。

There are two main topics in our thesis. First, we study the effect of local phonons on the quantum transport in a 1-D wire. Second, we investigate the effect of local phonons on the single electron tunneling through a quantum dot. In the first topic, we take deep insight to our system including the attractive or repulsive local phonons, the effect of phonon temperature T, oscillating frequency of local phonons ω, and mass of local phonon M. Take the analyses made in the first topic as a basis. In the second topic, because we study quantum transport properties of a single- molecular quantum dot w with local phonon effect, we can confine the incident electron in the quantum dot to shorten its wavelength, which can be compared to the phonon wavelength at ground state. And, we can enhance the phonon sideband effects by this way.