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The phonon effects on the impurity states in cylindrical quantum wire with a finite confining potential

机译:声子对具有有限约束势的圆柱量子线中杂质态的影响

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The variational method and the effective mass approximation are applied to calculate the binding energies of the hydrogenic impurity states in a cylindrical quantum wire with finite deep potential well. The phonon effects on the impurity states are considered by taking both the couplings of the electron-phonon and the impurity ion-phonon into account. The numerical results for the GaAs cylindrical quantum wire are given and discussed. It is found that the ion-phonon interaction reduces the impurity binding energy and supplies key contribution to the energy shift, but the electron-phonon coupling enhances the binding energy less. Longitudinal optical (LO) phonons play more important role than interface optical (10) phonons in the impurity potential screening. The polaron effect caused by LO phonons is more important when the wire is thinner, otherwise the LO phonons are dominant for the thicker wires.
机译:应用变分法和有效质量近似法,计算了具有有限深势阱的圆柱形量子线中氢杂质态的结合能。通过考虑电子-声子和杂质离子-声子的耦合来考虑声子对杂质态的影响。给出并讨论了GaAs圆柱量子线的数值结果。发现离子-声子相互作用降低了杂质的结合能,并为能量转移提供了关键的贡献,但是电子-声子耦合却很少提高结合能。在杂质电势筛选中,纵向光学(LO)声子比界面光学(10)声子起着更重要的作用。当导线较细时,由LO声子引起的极化子效应更为重要,否则,对于较粗的导线,LO声子占主导地位。

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