声子色散对量子点中弱耦合磁极化子声子平均数的影响

摘要

The influence of phonon dispersion on the average phonon number of weak-coupling magnetopolaron in a parabolic quantum dot is studied by using the linear-combination operator and unitary transformation meth-od.Taking account of the longitudinal optical ( LO) phonons dispersion in a parabolic approximation, the ground state energy as a function of the effective confinement length, the coefficient of the phonon dispersion, the cyclo-tron-resonance frequency and the electron-phonon coupling constant and the average number of virtual pho-nons around the electron as a function of the coefficient of the phonon dispersion and the electron-phonon cou-pling constant are obtained.Numerical calculations results show that the ground state energy decreases with in-creasing the coefficient of the phonon dispersion;the average number of virtual phonons around the electron in-creases with increasing the electron-phonon coupling constant and the coefficient of the phonon dispersion in the electron-LO-phonon weak-coupling case.%利用线性组合算符和幺正变换相结合的方法，研究了声子色散对抛物量子点中弱耦合磁极化子电子周围光学声子平均数的影响。计及纵光学（ LO）声子色散，在抛物近似下导出了基态能量与量子点有效受限长度、声子色散系数、回旋共振频率以及电子－声子耦合常数之间的关系，电子周围光学声子平均数与声子色散系数以及电子－声子耦合常数的关系。数值计算结果表明在弱耦合情况下抛物量子点中磁极化子的基态能量随声子色散系数的增大而减小；电子周围光学声子平均数随声子色散系数增大而增大，随电子－声子耦合常数的增大而增大。