Novel method to determine effective length of quantum confinement using fractional-dimension space approach

作     者：Hua Li Bing-Can Liu Bing-Xin Shi Si-Yu Dong Qiang Tian 

作者机构：Department of Physics Beijing Normal University Beijing 100875 China Department of Fundamental Courses Academy of Arraored Forces Engineering Beijing 100072 China 

出 版 物：《Frontiers of physics》 (物理学前沿（英文版）)

年 卷 期：2015年第10卷第4期

页      面：97-102页

核心收录：

学科分类：08[工学] 081402[工学-结构工程] 081304[工学-建筑技术科学] 0813[工学-建筑学] 0803[工学-光学工程] 0814[工学-土木工程] 

基　　金：the financial support received during the development of this work from the National Natural Science Foundation of China 

主　　题：fractional-dimensional approach effective length of quantum confinement polaron effect GaAs film 

摘      要：The binding energy and effective mass of a polaron confined in a GaAs film deposited on an AlGal-xAs substrate are investigated, for different film thickness values and aluminum concentra- tions and within the framework of the fractional-dimensional space approach. Using this scheme, we propose a new method to define the effective length of the quantum confinement. The limita- tions of the definition of the original effective well width are discussed, and the binding energy and effective mass of a polaron confined in a GaAs film are obtained. The fl-actional-dimensional theo- retical results are shown to be in good agreement with previous, more detailed calculations based on second-order perturbation theory.