磁场对量子棒中极化子激发态性质的影响

Influences of Magnetic Field on Properties of Weak-Coupling Magneto-Polaron in Quantum Rods

给出了具有椭球边界量子棒经过坐标变换成球形边界的哈密顿量。采用线性组合算符和幺正变换的方法研究了在抛物限制势下量子棒中弱耦合磁极化子的第一内部激发态能量E1、激发能量ΔE和从激发态到基态跃迁谱线的频率ω随横向和纵向有效受限长度lp和lz、电子-声子耦合强度α、椭球的纵横比e′以及磁场的回旋频率ωc的变化关系。数值计算结果表明:第一内部激发态能量、激发能量和跃迁谱线频率随横向和纵向有效受限长度的减少而迅速增大,随回旋频率的增加而增大。第一内部激发态能量随耦合强度的增加而减少。当e′>1时,跃迁谱线频率和激发能量随纵横比的增加而增大,当e′<1时,随着纵横比的减少而增加。当e′=1时,它们取稳定的极小值。

The Hamihonian of a quantum rod with an ellipsoid boundary is given after a coordinate transformation which can transform the boundary into a spherical one. The relations of the first internal excited state energy, the excitation energy and the frequency of transition spectral line between the first internal excited state and the ground state of weak-coupling magneto-polaron in a quantum rod in a parabolic confinement potential with the transverse and the longitudinal effective confinement length, the aspect ratio of the ellipsoid, the electron-phonon coupling strength and the cyclotron frequency of a magnetic field are derived by using the linear combination operators and the unitary transformation methods. Numerical calculations are performed and the results show that the first internal excited state energy, the excitation energy and the frequency of transition spectral line will increase rapidly with decreasing transverse and longitudinal effective confinement length and increase by increasing the cyclotron frequency of a magnetic field. The first internal excited state energy is decreasing function of the coupling strength. The excitation energy and the frequency of transition spectral line are increasing function of the aspect ratio when e′ 〉 1, whereas it is decreasing function of one when e′ 〈 1. When e′ = 1, the excitation energy and the frequency of transition spectral line