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方形半导体量子线中光吸收的横向斯塔克效应
作者姓名:Wang Sheng  Kang Yun  Han Chunjie
作者单位:College of Electronic Science,Northeastern Petroleum University
基金项目:国家自然科学基金;省自然科学基金
摘    要:The ground and few excited states of the electrons confined in a square GaAs quantum wire(QW) subjected to an external transverse electric field are investigated using the finite difference method within the effective-mass approximation. When the transverse electric field is applied along a side of the square quantum wire, the calculation of the eigenstates of the quantum wire has an exactly solvable problem whose solutions involve the linear combinations of two independent Airy functions. Compared with the exact analytical results using Airy functions, the results obtained by the use of the finite difference method in terms of the eigenstates of the particle in the QW are in excellent agreement. Subsequently, it is considered that the eigenstates of the particle depend on the orientations of the electric field with respect to the center axis of the QW. It is interesting that the peak value of the energy is found for the field directed along the diagonal in the QW, which can lead to a large energy shift. Meanwhile, dependence of the optical absorption phenomenon in the square QW on the optical field and applied electric field is investigated. It is shown that the optical absorption spectrum depends highly upon the polarization of the optical field and the applied electric field intensities and orientations.

关 键 词:finite  difference  method  quantum  wire  optical  absorption  Stark  effect

Transverse Stark effect in the optical absorption in a square semiconducting quantum wire
Wang Sheng,Kang Yun,Han Chunjie.Transverse Stark effect in the optical absorption in a square semiconducting quantum wire[J].Chinese Journal of Semiconductors,2013,34(10):102001-7.
Authors:Wang Sheng  Kang Yun and Han Chunjie
Affiliation:College of Electronic Science, Northeastern Petroleum University, Daqing 163318, China;College of Electronic Science, Northeastern Petroleum University, Daqing 163318, China;College of Electronic Science, Northeastern Petroleum University, Daqing 163318, China
Abstract:The ground and few excited states of the electrons confined in a square GaAs quantum wire (QW) subjected to an external transverse electric field are investigated using the finite difference method within the effective-mass approximation. When the transverse electric field is applied along a side of the square quantum wire, the calculation of the eigenstates of the quantum wire has an exactly solvable problem whose solutions involve the linear combinations of two independent Airy functions. Compared with the exact analytical results using Airy functions, the results obtained by the use of the finite difference method in terms of the eigenstates of the particle in the QW are in excellent agreement. Subsequently, it is considered that the eigenstates of the particle depend on the orientations of the electric field with respect to the center axis of the QW. It is interesting that the peak value of the energy is found for the field directed along the diagonal in the QW, which can lead to a large energy shift. Meanwhile, dependence of the optical absorption phenomenon in the square QW on the optical field and applied electric field is investigated. It is shown that the optical absorption spectrum depends highly upon the polarization of the optical field and the applied electric field intensities and orientations.
Keywords:finite difference method  quantum wire  optical absorption  Stark effect
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