摘要
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非均匀抛物限制势下量子棒中弱耦合极化子的振动频率λ、第一内部激发态能量E_1、激发能量△E和从激发态到基态跃迁谱线频率ω随椭球的纵横比e'、电子-声子耦合强度α和横向和纵向有效受限长度l_p和lz的变化关系。数值计算结果表明:振动频率、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。第一内部激发态能量随电子-声子耦合强度的增加而减少。振动频率随椭球纵横比的增加而减少。当e'>1时,激发能量和跃迁谱线频率随椭球纵横比的增加而增加。当e'<1时,随椭球纵横比的减少而增大。当e'=1时,它们取极小值。
Based on a coordinate transformation, the boundary potential of a quantum rods was changed from the ellipsoidal form into an spherical one. The properties of the vibrational frequency, first internal excited state energy, excitation energy and frequency of transition spectral line between first internal excited state and ground state of weak-coupling polaron in a quantum rod in a parabolic potential are studied by using linear combination operator and unitary transformation methods. Relations of the vibrational frequency, first internal excited state energy, excitation energy and frequency of transition spectral line of polaron with transverse and longitudinal effective confinement length, aspect ratio of the ellipsoid and electron-phonon coupling strength were derived. Numerical calculation results show that the vibrational frequency, the first internal excited state energy, excitation energy and frequency of transition spectral line increase rapidly with decreasing transverse and longitudinal effective confinement length. The vibrational frequency and first internal excited state energy are decreasing functions of the aspect ratio of ellipsoid and electron-phonon coupling strength, respectively. The excitation energy and frequency of transition spectral line are increasing functions of the aspect ratio when e＇ 〉 1, whereas it is decreasing function of one when e＇ 〈 1. When e＇ = 1, the excitation energy and frequency of transition spectral line have minimum values.
出处
《量子电子学报》
CAS
CSCD
北大核心
2010年第6期743-748,共6页
Chinese Journal of Quantum Electronics
关键词
光电子学
低维结构
量子棒
线性组合算符
极化子
激发态
纵横比
optoelectronics
low dinlensional structure
quantum rods
linear combination operator
polaron
excited state
aspect ratio
