抛物量子点中弱耦合杂质束缚磁极化子的光学声子平均数

Average number of optical phonons of weak-coupling impurity bound magnetopolaron in a parabolic quantum dot

采用线性组合算符和幺正变换方法研究库仑场对抛物量子点中弱耦合杂质束缚磁极化子的振动频率和光学声子平均数的影响。导出量子点中弱耦合杂质束缚磁极化子的振动频率和光学声子平均数随量子点的有效受限长度、库仑束缚势和磁场的回旋共振频率的变化关系。数值计算结果表明:弱耦合杂质束缚磁极化子的振动频率和光学声子平均数随量子点的有效受限长度的减小而迅速增大,随磁场的回旋共振频率和库仑束缚势的增加而增加,表现出奇特的量子尺寸效应。

Influences of the Coulomb field on the vibrational frequency and the mean number of optical phonons of weak-coupling impurity bound magnetopolaron in a parabolic quantum dot are studied using the linear-combination operator and the unitary transformation method. Expressions for the vibration frequency and the mean number of optical phonons of weak-coupling impurity bound magnetopolaron in a parabolic quantum dot as a function of the effective confinement length of quantum dot, the Coulomb bound potential and the cyclotron resonance frequency of magnetic field are derived. Numerical calculations are performed and the results show that the vibration frequency and the mean number or optical phonons of the weak-coupling impurity bound magnetopolaron in a parabolic quantum dot increase rapidly with decreasing of the effective confinement length of quantum dot, and increase with increasing of the cyclotron resonance frequency of magnetic field and the Coulomb bound potential. These can be attributed to the interesting quantum size effects.