Bound Polaron in a Quantum Well Under an Electric Field

We conduct a theoretical study on the properties of a bound polaron in a quantum well under an electric field using linear combination operator and unitary transformation methods, which are valid in the whole range of electron-LO phonon coupling. The changing relations between the ground-state energy of the bound polaron in the quantum well and the Coulomb bound potential, the electric field strength, and the well width are derived. The numerical results show that the ground-state energy increases with the increase of the electric field strength and the Coulomb bound potential and decreases as the well width increases.

Influence of the Interaction Between Phonons and Coulomb Potential on the Properties of a Bound Polaron in a Quantum Dot

The properties of a bound polaron in a parabolic quantum dot with weak electron-LO-phonon coupling under a Coulomb field are studied. The ground state energy of the bound polaron is derived by using a linear combination operator and the perturbation method. The influence of the interaction between phonons with different wave vectors in the recoil process on the ground state energy of the bound polaron is discussed. Numerical calculations are performed,and the results show that the ground state energy increases significantly as the effective confinement length of the quantum dot decreases,considering of the interaction between phonons. When l0〉1.0, the influence of the interaction between phonons on the ground state energy cannot be ignored.

A Fractional-Dimension Variational Approach for the Bound Polaron in Parabolic Quantum Wells

The binding energy of a bound polaron in a finite parabolic quantum well is studied theoretically by a fractional- dimensional variational method. The numerical results for the binding energies of the bound polaron and longitudinal-optical phonon contributions in GaAs/Al0.3 Ga0.7 AS parabolic quantum well structures are obtained as functions of the well width. It is shown that the binding energies of the bound polaron are obviously reduced by the electron-phonon interaction and the phonon contribution is observable and cannot be neglected.

Bound polarons in quantum dot quantum well structures

The problem of bound polarons in quantum dot quantum well （QDQW） structures is studied theoretically. The eigenfrequencies of bulk longitudinal optical （LO） and surface optical （SO） modes are derived in the framework of the dielectric continuum approximation. The electron-phonon interaction Hamiltonian for QDQW structures is obtained and the exchange interaction between impurity and LO-phonons is discussed. The binding energy and the trapping energy of the bound polaron in CdS/HgS QDQW structures are calculated. The numerical results reveal that there exist three branches of eigenfrequencies of surface optical vibration in the CdS/HgS QDQW structure. It is also shown that the binding energy and the trapping energy increase as the inner radius of the QDQW structure decreases, with the outer radius fixed, and the trapping energy takes a major part of the binding energy when the inner radius is very small.

Temperature and hydrogen-like impurity effects on the excited state of the strong coupling bound polaron in a CsI quantum pseudodot

With hydrogen-like impurity（HLI） located in the center of Cs I quantum pseudodot（QPD） and by using the variational method of Pekar type（VMPT）, we investigate the first-excited state energy（FESE）, excitation energy and transition frequency of the strongly-coupled bound polaron in the present paper. Temperature effects on bound polaron properties are calculated by employing the quantum statistical theory（QST）. According to the present work＇s numerical results, the FESE, excitation energy and transition frequency decay（amplify） with raising temperature in the regime of lower（higher）temperature. They are decreasing functions of Coulomb impurity potential strength.

Polaronic effect on a bound polaron

Feynman variational path integral theory was used to obtain the ground state energy of a polaron in a quantum well in the presence of a Coulomb potential for arbitrary values of the electron phonon coupling constant α . Numerical and analytical results showed that the energy shift was more sensitive to α than to the Coulomb binding parameter ( β ) and increased with the decrease of effective quantum well width l Z . It was interesting that due to the electronic confinement in the quasi 2D (quantum well) structures, the lower bound of the strong coupling regime was shifted to smaller values of α . Comparison of the polaron in the quantum well with that in the quantum wire or dot showed that the polaronic effect strengthened with decrease of the confinement dimension.

Influence of temperature on ground state energy of bound polaron in asymmetric Gaussian potential quantum well in presence of electromagnetic field

By a combination method of Lee-Low-Pines unitary transformation method and Pekar-type variational method,the ground state energy(GSE)of the bound polaron is studied in the asymmetrical Gaussian potential quantum well considering the temperature and electromagneticfield.The impacts of the temperature and asymmetrical Gaussian potential,electromagnetic field and phonon-electron coupling upon the GSE are obtained.The results show that the GSE of the bound polaron not only oscillates as the temperature changes regardless of the electromagneticfield and asymmetrical Gaussian potential and Coulomb impurity potential(CIP)and electron-phonon coupling but also has different rules with the electromagnetic field and asymmetrical Gaussian potential and CIP and electron-phonon coupling at different temperature zones.

Bound polaron in a strained wurtzite GaN/Al_xGa_(1-x)N cylindrical quantum dot

Within the effective-mass approximation,a variational method is adopted to investigate the polaron effect in a strained GaN/Al_xGa_（1-x）N cylindrical quantum dot.The electron couples with both branches of longitudinal optical-like（LO-like）and transverse optical-like（TO-like）phonons and the built-in electric field are taken into account.The numerical results show that the binding energy of the bound polaron is reduced obviously by the polaron effect on the impurity states.Furthermore,the contribution of LO-like phonons to the binding energy is dominant,and the anisotropic angle and Al content influence on the binding energy are small.

Pressure influence on bound polarons in a strained wurtzite GaN/Al_xGa_(1_x)N heterojunction under an electric field

The binding energies of bound polarons near the interface of a strained wurtzite GaN/Al_xGa_（1-x）N het-erojunction are studied by using a modified LLP variational method and a simplified coherent potential approximation under hydrostatic pressure and an external electric field.Considering the biaxial strain due to lattice mismatch or epitaxial growth,the uniaxial strain effects and the influences of the electron-phonon interaction as well as impurity-phonon interaction including the effects of interface-optical phonon modes and half-space phonon modes,the binding energies as functions of pressure,the impurity position,areal electron density and the phonon effect on the Stark energy shift are investigated.The numerical result shows that the contributions from the interface optical phonon mode with higher frequency and the LO-like half space mode to the binding energy and the Stark energy shift are important and obviously increase with increasing hydrostatic pressure,whereas the interface optical phonon mode with lower frequency and the TO-like half space mode are extremely small and are insensitive to the impurity position and hydrostatic pressure.It is also shown that the conductive band bending should not be neglected.

库仑场对量子线中强耦合极化子性质的影响

采用改进的线性组合算符和幺正变换方法研究了库仑场对抛物量子线中强耦合极化子的性质的影响.计算了抛物量子线中强耦合束缚极化子的基态能量、振动频率和声子平均数.讨论了这些量对库仑束缚势和约束强度的依赖关系.数值计算结果表明:量子线中强耦合束缚极化子的基态能量随库仑束缚势的增加而减少,随约束强度的增加而增大;振动频率和电子周围的光学声子平均数均随库仑束缚势的增加而增加.

抛物量子阱中束缚极化子的极化势和结合能

利用改进的Lee-Low-P ines(LLP)方法,用变分法计算了无限深抛物量子阱中同时考虑与体纵光学声子和界面纵光学声子相互作用的束缚极化子的极化势和结合能。数值计算得出:阱宽较大时极化势很小,阱宽较小时极化势较大,所以对于较窄的抛物阱必须考虑极化势。对于给定阱宽的抛物阱,随着远离阱中心极化势迅速减小,当到达阱的界面附近极化势又开始增大。阱宽较小时,束缚极化子的结合能随着阱宽L的增大而急剧减小;阱宽较大时,结合能减小的非常缓慢,最后接近体材料中的三维值。

抛物量子点中强耦合束缚极化子的光学声子平均数

采用线性组合算符和幺正变换方法研究了在库仑场束缚下抛物量子点中强耦合束缚极化子的振动频率和光学声子平均数,并对其进行了数值计算。结果表明:强耦合束缚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增加而减小,随电子-LO声子耦合强度的增强而增加,束缚极化子的振动频率随库仑势的增加而减小。

Rashba效应对量子线中强耦合束缚极化子性质的影响

采用改进的线性组合算符和幺正变换相结合的方法,研究了Rashba效应对半导体量子线中强耦合束缚极化子性质的影响。计算了Rashba效应的影响下量子线中强耦合束缚极化子的基态能量、有效质量和振动频率。数值分析结果表明:基态能量随库仑束缚势的增加而减少,随受限强度的增加而增大,而且在Rashba效应影响下,基态能量和有效质量比随库仑束缚势的变化曲线由原来的一条分裂为上下两条;振动频率随束缚势、受限强度和耦合强度的增加而加快;有效质量比随库仑束缚势和受限强度的增强而变大。

磁场对GaAs/Al_xGa_(1-x)As异质结系统中束缚极化子的影响

对 Ga As/ Alx Ga1 - x As单异质结系统引入三角势近似异质结势 ,同时考虑体纵光学 (L O)声子和有效近似下两支界面光学 (IO)声子的影响 ,采用变分法讨论了外界恒定磁场对束缚于近界面杂质的光学极化子结合能的影响 .利用改进的 L ee- L ow- Pines(L L P)中间耦合方法处理电子 -声子和杂质 -声子的相互作用 ,计算了杂质态结合能随杂质位置、磁场强度、电子面密度的变化关系 .结果表明 ,极化子结合能随磁场呈现增加的趋势 ,其中 L O声子对结合能的负贡献受磁场影响显著 ,而 IO声子的负贡献受磁场的影响并不明显 ,但当杂质靠近界面时 ,杂质 - IO声子相互作用对磁场的影响很敏感 .结果还表明 ,导带弯曲作用不容忽略 ;电子像势对结合能的影响很小 ,可以忽略 .

抛物量子线中束缚极化子激发态的性质

本文研究抛物量子线中强耦合束缚极化子激发态的性质.采用Huybrechts线性组合算符和幺正变换的方法计算了抛物量子线中强耦合束缚极化子的第一内部激发态能量、激发能量和振动频率.数值计算表明:强耦合束缚极化子的第一内部激发态能量和激发能量都随约束强度的增加而增大;但第一激发态能量随库仑束缚势的增加而减少,而激发能量随库仑束缚势的增加而增大;振动频率λ随约束强度和库仑束缚势增加而增大.

电场和温度对量子线中强耦合束缚极化子性质的影响

采用线性组合算符和幺正变换相结合方法研究了电场和温度对量子线中强耦合束缚极化子性质的影响.计算了在电场和温度影响下抛物量子线中强耦合束缚极化子的基态能量、平均声子数和振动频率.数值计算结果表明:束缚极化子的基态能量随约束强度、库仑束缚势和电场强度的增大而逐渐增大;平均声子数随温度、耦合强度的增大呈现递增关系,随库仑束缚势的加大呈现递减关系;振动频率随耦合强度和温度的增大而增大,随库仑束缚势的减小而增大.

库仑场对量子线中极化子激发态性质的影响

采用Huybrenchts线性组合算符和LLP变换方法,研究了库仑场对抛物量子线中弱耦合极化子激发态性质的影响,计算了束缚极化子的基态能量、第一内部激发态能量、激发能量和振动频率。讨论了这些量对约束强度和库仑束缚势的依赖关系。数值计算结果表明:抛物量子线中弱耦合束缚极化子的第一内部激发态能量、激发能量和振动频率都随约束强度的增加而增大,但第一激发态能量随库仑束缚势的增加而减少,而激发能量和振动频率随库仑束缚势的增加而增大。

磁场对量子阱中弱耦合束缚极化子性质的影响(英文)

采用线性组合算符及幺正变换方法研究了磁场对量子阱中弱耦合束缚极化子的性质的影响。导出了量子阱中束缚极化子的基态能量与振动频率、库仑束缚势、磁场和阱宽之间的变化关系。同时也讨论了振动频率与库仑束缚势、磁场之间的变化关系。通过数值计算结果表明:量子阱中束缚极化子的基态能量因振动频率、库仑束缚势、磁场和阱宽的不同而不同,它随振动频率和磁场的增加而增大,随库仑束缚势和阱宽的增大而减小。量子阱中束缚磁极化子的基态能量与振动频率无关,随库仑束缚势和阱宽的增大而减小,随磁场的增大而增大。

抛物量子点中弱耦合束缚极化子的性质

研究了抛物量子点中弱耦合束缚极化子的性质。采用线性组合算符和幺正变换方法导出了束缚极化子的振动频率和基态能量。讨论了量子点的有效受限长度、电子-LO声子耦合强度和库仑场对抛物量子点中弱耦合极化子的振动频率和基态能量的影响。数值计算结果表明:弱耦合束缚极化子的振动频率和基态能量随有效受限长度的增加而减小,振动频率随库仑势的增加而增加,基态能量随耦合强度、库仑势的增加而减小。

非对称量子点中弱耦合束缚极化子的性质

采用线性组合算符和幺正变换方法研究了非对称量子点中弱耦合束缚极化子的性质。导出了非对称量子点中弱耦合束缚极化子的振动频率和基态能量随量子点的横向和纵向有效受限长度,库仑束缚势和电子-声子耦合强度的变化关系。通过数值计算,结果表明:非对称量子点中弱耦合束缚极化子的振动频率和基态能量随量子点的横向和纵向有效受限长度的减小而迅速增大。