Bose–Einstein distribution temperature features of quasiparticles around magnetopolaron in Gaussian quantum wells of alkali halogen ions

We have applied strong coupling unitary transformation method combined with Bose–Einstein statistical law to investigate magnetopolaron energy level temperature effects in halogen ion crystal quantum wells.The obtained results showed that under magnetic field effect,magnetopolaron quasiparticle was formed through the interaction of electrons and surrounding phonons.At the same time,magnetopolaron was influenced by phonon temperature statistical law and important energy level shifts down and binding energy increases.This revealed that lattice temperature and magnetic field could easily affect magnetopolaron and the above results could play key roles in exploring thermoelectric conversion and conductivity of crystal materials.

Analytic Expansion for Ground-State Wavefunction of Time-Dependent Strong-Coupling Schrodinger Equation

The new method proposed recently by Friedberg, Lee, and Zhao is extended to obtain an analytic expansion for the ground-state wavefunction of a time-dependent strong-coupling Schroedinger equation. Two different types of the time-dependent harmonic oscillators are considered as examples for application of the time-dependent expansion. It is show that the time-dependent strong-coupling expansion is applicable to the time-dependent harmonic oscillators with a slowly varying time-dependent parameter.

Influence of the Electric Field on the Properties of the Bound Magnetopolaron in GaAs Semiconductor Quantum Wells

The influence of the electric field on the properties of the bound magnetopolaron in an infinite-depth GaAs semiconductor quantum well is investigated using the linear-combination operator and the unitary transformation method. The relationships between the polaron＇s ground state energy and the Coulomb bound potential, electric field, magnetic field, and well-width are derived and discussed. Our numerical results show that the absolute value of the polaron＇s ground state energy increases as the electric field and the Coulomb bound potential increase, and decreases as the well-width and the magnetic field strength increase. When the well-width is small,the quantum size effect is significant.

The optical phonon drag effect on strong-coupling decay magnetopolaron in Gaussian alkali halogen ionic quantum wells

The polaron phenomenon is commonly observed in low-dimensional semiconductor materials and is known to have unique effects on conductive material properties.Furthermore,the phonon dragging effect,which leads to the polaron energy level,is less than the electron energy level.A decay magnetic field also affects the polaron effect,which causes polaron energy level changes.We demonstrate the unique electron-phonon coupling properties of this polaron using numerical calculations.Our findings have strong implications for theories of polaron properties and provide compelling evidence for a semiconductor device that industrial manufacturers use for new lowdimensional materials.

Energy Levels of Strong Coupling Magnetopolaron in Quantum Dot

By using variational method of Pekar type, we have studied the energy levels of strong coupling magnetopolaron in disk shape quantum dot(QD) and quantum well(QW). Our results show that, with the increasing magnetic field and confinement strength, the magnetopolaron binding energy of QD and QW in the ground state and in the excited state is enhanced. The limiting results of bulk type and strict two dimensional type are obtained.

ENERGY LEVELS OF STRONG COUPLING MAGNETOPOLARON IN QUANTUM WIRE

With the use of variational method of Pekar type, this paper studied the energy levels of magnetopolaron in quantum wire with strong electron phonon interaction. The magnetopolaron binding energy in the ground state and in the excited state, as well as the resonance frequency of magnetopolaron were calculated. Their dependence on the cyclotron frequency and the confinement strength of quantum wire was depicted. The limiting case of bulk type and strict two dimensional type was discussed.

Size and Magnetic Field Dependence of Strong Coupling Magnetopolaron in Quantum Dot

By using the variational method of Pekar type, the ground state and the first excited state of the strong coupling magnetopolaron in cylinder shape quantum dot are considered. The results show that, with the increasing cyclotron frequency and the confinement strength, the magnetopolaron binding energies in both the ground state and the excited state, and the resonance frequency of magnetopolaron are enhanced. The limiting case of the bulk and strict one dimensional type is also discussed.

Built-in electric field effect on cyclotron mass of magnetopolarons in a wurtzite In_xGa_(1-x)N/GaN quantum well

The cyclotron mass of magnetopolarons in wurtzite InxGa1-xN/GaN quantum well is studied in the presence of an external magnetic field by using the Larsen perturbation method. The effects of the built-in electric field and different phonon modes including interface, confined and half-space phonon modes are considered in our calculation. The results for a zinc-blende quantum well are also given for comparison. It is found that the main contribution to the transition energy comes from half-space and interface phonon modes when the well width is very small while the confined modes play a more important role in a wider well due to the location of the electron wave function. As the well width increases, the cyclotron mass of magnetopolarons first increases to a maximum and then decreases either with or without the built-in electric field in the wurtzite structure and the built-in electric field slightly reduces the cyclotron mass. The variation of cyclotron mass in a zinc-blende structure is similar to that in a wurtzite structure. With the increase of external magnetic field, the cyclotron mass of polarons almost linearly increases. The cyclotron frequency of magnetopolarons is also discussed.

MAGNETIC FIELD AND TEMPERATURE DEPENDENCE OF THE PROPERTIES OF A MAGNETOPOLARON

Taking into account the interaction of an electron with both bulk longitudinaloptical (LO) and interfaceoptical(IO) phonons, we investigate the magnetic field and temperature dependence of the properties of a magnetopolaron at the interface of polarpolar crystals in an external magnetic field by using the generalized Haga perturbation method. The results reveal that as the magnetic field B is lower than critical strengths BCL and BCI, the selftrapping of the interface magnetopolaron weakens with increasing temperature, but it strengthens with the rising temperature when B is higher than BCL and BCI. The effect of temperature becomes striking while B is close to BCL or BCI. The results also show that the farther from the interface the electron, the more markedly the electronLO phonon interction changes with the variation of temperature. On the other hand, the nearer from the interface the electron, the more distinctly the electronIO phonon interaction changes with varying temperature.

Cyclotron Resonance of Free Magnetopolaron in Quantum Well Wires

The cyclotron resonance of magnetopolaron in quantum well wires (QWWs) have been studied with the use of variational solutions to the effective mass equation. The results show that both the abso- lute value of the electron-phonon interaction energy and the cyclotron resonance frequency de- crease with the increase of the sizes of QWWs, and also that the cyclotron resonance frequency in- creases with the external magnetic field.

Theory of Triple Magnetopolarons in Quantum-Dimensional Nanostructures

A theory of triple magnetopolarons in an isolated quantum well in a strong magnetic field was developed. We study the behavior of the magnetooptical absorption peaks corresponding to the transitions of an electron at the Landau level with quantum numbers n ≥ 2. For n = 2 at the point of equality of cyclotron frequency and the frequency of optical phonon (LO), there is a cross of three terms of the electron-phonon system (the electron at the Landau level n = 2, the electron at n = 1, and the optical phonon and electron at n = 0 and two phonons), considered as a function of the cyclotron frequency. Interaction with phonons takes off the degeneracy of the terms and leads to three disjoint branches of the electron-phonon spectrum. The theory predicts that in the resonant magnetic field, the peak of magnetooptical absorption splits into three peaks, the intensity and position of which are dependent in a complex way on the magnitude of the magnetic field and the constant of the electron-phonon coupling.

Study of Two-Mode Squeezed Magnetopolarons

In this paper, we conduct an investigation into two-dimensional squeezed magnetopolarons. The Hamiltonian of magnetopolarons is dealt with two-mode squeezed states transformation, which is based on the Lee-Low-Pines and Huybrechts （LLP-H） canonical transformations. This method makes it possible to take account of the linear terms, bilinear ones of phonon operators, and the correlation between two longitudinal optical （LO） phonon modes. The energies of the ground state and excited states are evaluated by variational approach, and accurate results are obtained. Furthermore, the renormalized cyclotron masses for some possible transitions are discussed in detail.

Magnetic field and temperature dependence of the properties of the ground state of the strong-coupling bound magnetopolaron in quantum rods with hydrogenic impurity

Magnetic field and temperature dependence of the properties of the ground state of the strong-coupling bound magnetopolaron in quantum rods （QRs） with hydrogenic impurity is studied by means of the Huybrechts- Lee-Low-Pines transformation method and the quantum statistical theory. The expressions for the ground-state energy and the mean number ofphonons of the magnetopolaron are derived. Results of the numerical calculations show that the bound state of the magnetopolaron cannot be formed when the value of the aspect ratio of the QR, the dielectric constant ratio, the electron-phonon coupling strength or the temperature parameter is small. The larger the deviation of the value of aspect ratio e′ from 1 is, the more it is unfavorable to the stability of the ground state of the magnetopolaron. When the magnetopolaron is in the bound state, the absolute value of its ground-state energy and its mean number ofphonons increase with an increase of the dielectric constant ratio and confinement strength of QRs, but decrease with an increase in the cyclotron frequency of the external magnetic field and the temperature. The absolute value of the ground-state energy and the mean number of phonons of the magnetopolaron decrease with decreasing e′ when e′ 〈 1, but decrease with increasing e′ when e′ 〉 1. They get the maximum value at e′=1.

On the Superconductivity in High-Entropy Alloy (NbTa)1-X(HfZrTi)X

The superconductivity in (NbTa)1-X(HfZrTi)X high-entropy alloy is analyzed using the theory of strong-coupled superconductor. It is concluded that (NbTa)1-X(HfZrTi)X is a strong coupled superconductor. The variation in the superconducting transition temperature from 7.9 K to 4.6 K as x increases from 0.2 to 0.84 arises because of the decrease in electronic band width due to localization and broadening of the band. It is suggested that the decrease in electronic band width is due to crystalline randomness which gives rise to the mobility edge.

柱型量子点中弱耦合磁极化子的激发态性质

应用线性组合算符和幺正变换研究了在量子阱和抛物势作用下的柱型量子点中弱耦合磁极化子的性质.对AgBr量子点的数值计算表明:量子点中磁极化子的基态能量、激发态能量以及激发能均随特征频率、回旋共振频率的提高而增大;随柱高的减小而增加,且柱高愈小,增加速度愈快;激发态能量随温度的升高而增加.这些结论说明,由于量子点的受限和磁场的增大以及温度的升高使量子点的极化加强.

弱耦合表面磁极化子的内部激发态

采用线性组合算符和幺正变换方法研究弱耦合表面磁极化子的内部激发态性质 ,并对两种极限情况进行讨论。以晶体ZnSe为例作了数值计算。结果表明 :表面磁极化子的内部激发态能量和振动频率随磁场B的增加而增大。

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、L agrange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 (L O)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和磁场变化的规律 ,对 KC1极性晶体膜进行了数值计算 ,结果表明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 。

声子之间相互作用对磁场中表面极化子性质的影响

研究了在稳定磁场作用下极性晶体中表面电子与表面光学声子耦合弱的表面极化子性质，采用微扰法和线性组合算符法导出表面磁极化子的基态能量。

磁场中束缚极化子的有效质量

研究磁场中束缚极化子有效质量的性质,采用改进的线性组合算符和变分法讨论了磁场中强、弱耦合极化子的振动频率和有效质量与磁场B和库仑势的关系。以RbCl晶体为例进行了数值计算,结果表明:强耦合束缚磁极化子的振动频率λ和有效质量m随磁场B的增加而增大。弱耦合磁极化子的振动频率λ也随磁场的增加而增加,并且发现由于库仑势的存在,使得强耦合束缚磁极化子的振动频率λ和有效质量m有所增大。弱耦合磁极化子的有效质量仅和耦合强度α有关。

GaAs抛物量子线中弱耦合极化子的磁场效应

应用变分法和改进的线性组合算符法,研究了磁场对抛物量子线中弱耦合极化子振动频率和相互作用能的影响.给出了GaAs抛物量子线中弱耦合极化子的振动频率和相互作用能与磁场和约束强度的依赖关系.对GaAs晶体作了数值计算,结果显示:极化子振动频率和相互作用能都随约束强度和外磁场的增加而增大.