磁场对抛物量子点中极化子内部激发态的影响

采用线性组合算符和幺正变换方法研究了外场对抛物量子点中极化子的激发态性质的影响,导出了强、弱耦合情况下极化子的第一内部激发态能量E1、激发能量ΔE、共振频率ω与量子点的有效受限长度l0、电子-声子耦合强度α以及外场B的关系。数值计算结果表明,不论强、弱耦合,磁场中量子点内极化子的λ、E1、ΔE和ω都随l0的减小而增大,而且都随回旋频率ωc(磁场B)的增大而增加。另外,在弱耦合情形下,λ、ΔE和ω均与α无关,而E1随α的增大而减小。相反,在强耦合情形下,λ、E、ΔE和ω均随α的增大而增加。     

晶格热振动对磁场中半无限极性晶体内表面磁极化子自陷能的影响

采用Huybrechts的线性组合算符法和变分法 ,研究了晶格热振动对磁场中半无限极性晶体内电子与表面光学 (SO)声子强耦合、与体纵光学 (LO)声子弱耦合体系的影响 ,得到了作为距离晶体表面的深度、磁场和温度函数的表面磁极化子的自陷能 .对AgCl晶体进行了数值计算 ,结果表明 ,不同支声子与电子相互作用对表面磁极化子自陷能的贡献以及它们随距离晶体表面的深度、磁场和温度变化的情况大不相同 .     

Influence of Magnetic Field and LO Phonon Effects on the Spin Polarization State Energy of Strong-Coupling Bipolaron in a Quantum Dot

On the basis of Lee–Low–Pines unitary transformation, the influence of magnetic field and LO phonon effects on the energy of spin polarization states of strong-coupling bipolarons in a quantum dot (QD) is studied by using the variational method of Pekar type. The variations of the ground state energy $E_0$ and the first excited state the energy $E_1$ of bipolarons in a two-dimensional QD with the confinement strength of QDs $\omega _0$ , dielectric constant ratio $\eta $ , electron–phonon coupling strength $\alpha $ and cyclotron resonance frequency of the magnetic field $\omega _{c}$ are derived when the influence of the spin and external magnetic field is taken into account. The results show that both energies of the ground and first excited states ( $E_0$ and $E_1)$ consist of four parts: the single-particle energy of electrons $E_\mathrm{e}$ , Coulomb interaction energy between two electrons $E_\mathrm{c}$ , interaction energy between the electron spin and magnetic field $E_\mathrm{S}$ and interaction energy between the electron and phonon $E_{\mathrm{e-ph}}$ ; the energy level of the first excited state $E_1$ splits into two lines as $E_1^{(1+1)}$ and $E_1^{(1-1)}$ due to the interaction between the single-particle “orbital” motion and magnetic field, and each energy level of the ground and first excited states splits into three “fine structures” caused by the interaction between the electron spin and magnetic field; the value of $E_{\mathrm{e-ph}}$ is always less than zero and its absolute value increases with increasing $\omega _0$ , $\alpha $ and $\omega _c$ ; the effect of the interaction between the electron and phonon is favorable to forming the binding bipolaron, but the existence of the confinement potential and Coulomb repulsive energy between electrons goes against that; the bipolaron with energy $E_1^{(1-1)}$ is easier and more stable in the binding state than that with $E_1^{(1+1)}$ .     

基于Pekar类型变分法的高斯函数型限定势阱量子点中电子的跃迁

分别选取抛物线型限定势阱和高斯函数型限定势阱描写盘状量子点中电子的横向限定势和纵向限定势,采用Pekar类型变分法推导出了电子的基态和激发态能量,并基于费米黄金规则讨论了在磁场作用下电子的跃迁几率。结果表明,高斯函数型限定势阱比抛物线型限定势阱更能精准反映量子点中真实的限定势;量子点的厚度对电子跃迁几率的影响显著;电声耦合强度α、磁场的回旋频率ω_c、抛物线型限定势阱范围R_0、高斯函数型限定势阱的阱深V_0和阱宽L等对电子跃迁几率Q的影响的量度和变化规律方面差异较大。     

Magnetic field and temperature dependence of the groundstate energy of weak-coupling magnetopolaron in quantum rods with hydrogenic impurity

The dependence of the ground-state properties of weak-coupling bound magnetopolarons in quantum rods (QRs) with hydrogenic impurity on magnetic field and temperature is studied by means of the Lee-Low-Pines (LLP) transformation method and Huybrechts linear combination operator method. The expression for the ground-state energy of the magnetopolaron is derived. Results of the numerical calculations show that the ground-state energy of weak-coupling bound magnetopolarons in QRs with hydrogenic impurity increases with increasing the cyclotron frequency of the magnetic field, the confinement strength of QRs and the temperature, but decreases with increasing the electron-phonon coupling strength and the dielectric constant ratio. The stability of the ground state of magnetopolarons is closely related to the aspect ratio e′of the QR. The ground state of magnetopolarons is the most stable at e′=1. The stability of the ground state of magnetopolarons can remarkably decrease when the value of the aspect ratio increases or decreases from 1.     

磁场中准二维强耦合磁极化子的性质

采用线性组合算符和改进的LLP变分法,研究了磁场中无限势垒量子阱内电子与界面光学声子强耦合、与体纵光学声子弱耦合系统的基态,得到了磁极化子的振动频率和自陷能随量子阱宽和磁场变化的规律.对CdF2/AgCl量子阱进行了数值计算,结果表明,磁极化子的振动频率和自陷能随阱宽的增加而减小,随磁场的增加而增大,但不同支声子与电子和磁场相互作用对磁极化子的振动频率和自陷能的贡献大不相同.此外,对以上现象进行了分析和解释.     

Effective mass of the ground state of the strong-coupling exciton in a quantum well

The properties of the effective mass of the ground state of the exciton, for which the electron (hole) is strongly coupled with interface-optical (IO) phonons but weakly coupled with bulk-longitudinal-optical (LO) phonons in a quantum well, are studied by means of Tokuda’s improved linear combination operator and a modified second Lee-Low-Pines transformation method. The results indicate that the contributions of the interaction between the electron (hole) and the different phonon branches to the effective ...     

稳恒磁场中极性晶体膜内电子—表面声子强耦合磁极化子的有效质量

采用Tokuda改进的线性组合算符、Lagrange乘子和变分法,讨论了磁场中极性晶体膜内电子－表面光学（SO）声子强耦合和电子－体纵光学（LO）声子弱耦合磁极化子的有效质量,得出了磁极化子的有效质量随膜厚的增加而先减小后增加,最后趋于一个稳定值,随磁场的增加而增加。     

量子棒中极化子声子平均数的温度依赖性

采用Huybrechts线性组合算符和Lee-Low-Pines变分法,研究了温度对量子棒中强耦合极化子平均声子数和振动频率的影响。结果表明,量子棒中强耦合极化子的平均声子数N-和振动频率λ随量子棒纵横比e′、温度T的增加而减小,随电子-声子耦合强度α和受限强度Ω∥的增加而增大。温度对平均声子数N-和振动频率λ的影响只是在温度较高(γ<1.0)时较显著,而在温度较低(γ>1.0)下并不显著。