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Energy Levels in Nanowires and Nanorods with a Finite Potential Well
Advances in Condensed Matter Physics ( IF 1.5 ) Pub Date : 2020-11-07 , DOI: 10.1155/2020/4945080
G. Gulyamov 1 , A. G. Gulyamov 2 , A. B. Davlatov 2 , Kh. N. Juraev 2
Affiliation  

The energy of electrons and holes in cylindrical quantum wires with a finite potential well was calculated by two methods. An analytical expression is approximately determined that allows one to calculate the energy of electrons and holes at the first discrete level in a cylindrical quantum wire. The electron energy was calculated by two methods for cylindrical layers of different radius. In the calculations, the nonparabolicity of the electron energy spectrum is taken into account. The dependence of the effective masses of electrons and holes on the radius of a quantum wires is determined. An analysis is made of the dependence of the energy of electrons and holes on the internal and external radii, and it is determined that the energy of electrons and holes in cylindrical layers with a constant thickness weakly depends on the internal radius. The results were obtained for the InP/InAs heterostructures.

中文翻译:

具有有限势阱的纳米线和纳米棒的能级

通过两种方法计算具有有限势阱的圆柱形量子线中的电子和空穴的能量。近似确定了一个解析表达式,它允许人们计算圆柱形量子线中第一离散能级的电子和空穴的能量。对于不同半径的圆柱层,通过两种方法计算电子能量。在计算中,考虑了电子能谱的非抛物性。确定了电子和空穴的有效质量对量子线半径的依赖性。分析了电子和空穴的能量对内外半径的依赖性,确定了恒定厚度圆柱层中电子和空穴的能量对内半径的依赖性较弱。
更新日期:2020-11-07
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