论文部分内容阅读
采用基于逐次正则变换的变分方法研究了利用单模压缩态变换处理双线性项的情况下声子色散对抛物量子点中磁极化子性质的影响。首先,应用位移振子形式的幺正变换来对角化相关的哈密顿量,然后采用压缩态变换来处理在第一次幺正变换中产生的双线性项。计算了在声子色散影响下磁极化子的基态能量及电子周围平均声子数。讨论了在弱耦合情况下,受限长度、回旋频率、电子-声子耦合常数、色散系数分别与基态能量和平均声子数之间的依赖关系。我们可以得到基态能量随受限长度的减小和回旋频率的增加而迅速增大,随着色散系数的增大而降低,平均声子数随着色散系数的增大而减小。`
The effect of phonon dispersion on the properties of the magnetopolaron in a parabolic quantum dot is studied by using the variational method based on successive regularization transformation. First, the correlation Hamiltonian is diagonalized using the unitary transforms in the form of displacement vibrators, and the compressed linear transform is then used to deal with the bilinear terms generated in the first unitary transformation. The ground-state energies and the average number of phonons around the electron under the influence of phonon dispersion are calculated. The dependence of the confinement length, the cyclotron frequency, the electron-phonon coupling constant, the dispersion coefficient and the ground state energy and the average phonon number are discussed in the case of weak coupling. We can get that the ground state energy increases rapidly with the decrease of the confinement length and the cyclotron frequency, decreases with the increase of dispersion coefficient, and decreases with the increase of dispersion coefficient. `