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Frontiers of Physics

ISSN 2095-0462

ISSN 2095-0470(Online)

CN 11-5994/O4

邮发代号 80-965

2018 Impact Factor: 2.483

Frontiers of Physics  2015, Vol. 10 Issue (4): 107302-    DOI: 10.1007/s11467-015-0472-2
Novel method to determine effective length of quantum confinement using fractional-dimension space approach
Hua Li1,2,Bing-Can Liu2,Bing-Xin Shi1,Si-Yu Dong1,Qiang Tian1,*()
1. Department of Physics, Beijing Normal University, Beijing 100875, China
2. Department of Fundamental Courses, Academy of Armored Forces Engineering, Beijing 100072, China
全文: PDF(380 KB)  

The binding energy and effective mass of a polaron confined in a GaAs film deposited on an AlxGa1-x As substrate are investigated, for different film thickness values and aluminum concentrations 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 limitations 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 fractional-dimensional theoretical results are shown to be in good agreement with previous, more detailed calculations based on second-order perturbation theory.

Key wordsfractional-dimensional approach    effective length of quantum confinement    polaron effect    GaAs film
收稿日期: 2014-12-03      出版日期: 2015-08-17
. [J]. Frontiers of Physics, 2015, 10(4): 107302-.
Hua Li, Bing-Can Liu, Bing-Xin Shi, Si-Yu Dong, Qiang Tian. Novel method to determine effective length of quantum confinement using fractional-dimension space approach. Front. Phys. , 2015, 10(4): 107302-.
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