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Analysing the effect of quantum dot’s size on the system’s conductance using Numerical mathematics methods

عنوان مقاله: Analysing the effect of quantum dot’s size on the system’s conductance using Numerical mathematics methods
شناسه ملی مقاله: INDMATH01_020
منتشر شده در اولین کنفرانس ملی ریاضیات صنعتی در سال 1393
مشخصات نویسندگان مقاله:

Mohammad Rashidi - School of Engineering-Emerging Technologies, University of Tabriz, Iran
Ali Rostami - Faculty of Electrical and Computer EngineeringUniversity of Tabriz Tabriz ,Iran
Hamid Vahed - School of Engineering-Emerging Technologies, University of Tabriz, Tabriz, Iran

خلاصه مقاله:
This work presents the effect of the quantum dot’s size on the systems conductance at 0k by applying Landauer-Büttiker and fisher-lee formulas. In this regard, different mathematics concepts such as finite difference method (FDM), transfer matrix method (TMM), and linear transformation (mapping) has been utilized to obtain the transmission matrix which is necessary in the mentioned formulas. The model has been employed on InAs-GaAs quantum dot hetrostructure, and the effect of a single InAs quantum dot’s dimension has been analysed briefly. It has been observed that increasing the quantum dot’s size would increase the structures conductance and also shift the participating electron’s energy to lower ones.

کلمات کلیدی:
quantum dot, finite difference method, transfer matrix method

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/283740/