温度对抛物量子阱中极化子能量的影响

采用线性组合算符法和幺正变换法研究温度对抛物型量子阱中极化子基态能和基态结合能的影响. 通过理论推导得到极化子基态能和基态结合能的表达式. 结合量子统计力学中平均声子数的表达式, 得到极化子基态能量和基态结合能与温度的函数关系. 在不同温度下, 分别讨论了极化子基态能量和基态结合能与电子-声子耦合强度和阱宽的关系, 阱深取不同值时讨论了极化子基态能和基态结合能随温度的变化规律. 计算结果表明, 极化子的基态能量和基态结合能都是温度的递增函数.     

Rashba效应对抛物量子阱中极化子基态能的影响

采用LLP变分法研究了抛物量子阱中极化子的Rashba效应,得到了极化子基态能量的表达式,并讨论了半阱宽及波矢与基态能量之间的关系.结果显示,基态能量是半阱宽和电子-声子耦合强度的减函数,而是波矢的增函数.由于Rashba效应基态能量零自旋轨道分裂成两支.     

声子和温度对球型量子点中极化子性质的影响

采用求解能量本征方程、幺正变换及变分相结合的方法,研究声子和温度对球型量子点中极化子性质的影响。数值计算表明,声子效应导致极化子的基态能量低于电子能量,且极化子基态能量随电子—声子耦合强度的增大而降低。数值计算还表明,温度较低时,声子不会被激发,极化子的基态能量不随温度而变;温度较高时,声子会被激发,导致极化子能量随温度升高而增大。     

非对称量子点中极化子的性质

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强、弱耦合极化子的性质,导出了非对称量子点中强、弱耦合极化子的基态能量和基态结合能随量子点的横向、纵向有效受限长度,电子-声子耦合强度的变化关系.通过数值计算,结果表明,量子点中强、弱耦合极化子的基态能量和基态结合能随量子点的横向、纵向有效受限长度的减小而迅速增大.     

声子和温度对球型量子点中极化子性质的影响

采用求解能量本征方程、幺正变换及变分相结合的方法,研究声子和温度对球型量子点中极化子性质的影响.数值计算表明,声子效应导致极化子的基态能量低于电子能量,且极化子基态能量随电子-声子耦合强度的增大而降低.数值计算还表明,当温度较低,使得电子热运动能量小于声子能量时,声子不会被激发,极化子的基态能量不随温度的变化而变化;在温度较高,使得电子热运动能量大于声子能量时,电子和晶格热运动加剧,更多的声子被激发.极化子的基态能量随温度的升高而增大.     

声子之间的相互作用对量子线中磁极化子性质的影响

研究了量子线中弱耦合磁极化子的性质.采用线性组合算符和微扰法导出量子线中弱耦合磁极化子的基态能量.在计及电子在反冲效应中发射和吸收不同波矢的声子之间的相互作用时,讨论了量子线的受限强度、电子-LO声子耦合强度和声子之间相互作用对量子线中弱耦合磁极化子的基态能量的影响.数值计算结果表明:量子线中弱耦合磁极化子的基态能量随量子线的受限强度ω₀的增大而迅速增大.当受限强度ω₀取相同值时,电子-声子耦合强度α越大基态能量E₀越小,磁场的回旋频率ω_e越大基态能量E₀越大.在弱磁场情况下,当ω₀<0.5时,随着量子线的受限强度ω₀的减少p值迅速增大,即对于弱磁场声子之间相互作用的影响不能忽略.     

电场对量子阱中强耦合磁极化子性质的影响

研究了量子阱中强耦合磁极化子在电场作用下的性质,采用线性组合算符及幺正变换的方法导出了强耦合磁极化子的振动频率λ和基态能量E₀.讨论了强耦合磁极化子的基态能量与阱宽、电场强度、回旋频率之间的关系.通过数值计算,结果表明:强耦合磁极化子的基态能量的绝对值随着阱宽的增加而减小,随着外加电场强度的增加而增加;磁极化子的基态能量的绝对值随着磁场的回旋频率的增加而增加;磁场的回旋频率随着磁极化子的振动频率的增加而增加.     

Exact and approximate results for the Anderson impurity model

This paper provides exact and rigorous upper and lower bounds to the ground state energy of the Single Impurity Anderson Model in the limit of infiniteU. The upper bound approximates the ground state energy very well and the corresponding state may be used as a starting point for further investigations. The energy spectrum of the Single Impurity Anderson Model is calculated exactly for a special non-trivial model density of states describing the bare band electrons. All approaches introduced here are compared to this exact result and to other ground state energy calculations.     

Effect of the parabolic potential on the binding energy of a hydrogenic impurity in a spherical quantum dot

The binding energy of the ground state of a hydrogenic off-center donor in a spherical quantum dot under a parabolic potential is calculated by a variational method within the effective-mass approximation. The parabolic potential is assumed to be a spherically symmetric potential. The location effects of a hydrogenic donor under a parabolic potential on the binding energy of the ground state are studied. It is found that in the case of an on-center donor, the parabolic potential tends to enhance the strength of the Coulomb interaction and the binding energy of the ground state, and in the case of an off-center donor, the effect of the parabolic potential on the binding energy of the ground state is somewhat complicated.     

极性晶体量子点中强耦合激子的内部激发态

在有效质量近似下,采用线性组合算符和幺正变换方法研究了极性晶体量子点中强耦合激子的内部激发态性质,导出了极性晶体量子点中强耦合激子的基态能量、第一内部激发态能量和激发能量随量子点半径的变化关系。对TlCl晶体进行数值计算,结果表明,量子点中强耦合激子的基态能量、第一内部激发态能量和激发能量随量子点半径的减小而增大。     

温度对抛物量子点中强耦合磁极化子性质的影响

采用线性组合算符法和LLP变换法,研究了温度对抛物量子点中强耦合磁极化子性质的影响.首次得到了抛物量子点中强耦合磁极化子的基态能量和振动频率随温度的变化规律.结果表明,量子点中强耦合磁极化子的振动频率随温度的升高而减小,随量子点的受限强度、回旋频率和耦合强度的增加而增大.而基态能量随回旋频率、耦合强度和温度变化的规律与磁极化子的状态性质密切相关.磁极化子基态能量和振动频率随量子点的受限强度、回旋频率和耦舍强度的变化情况受温度的显著影响,不过,温度对磁极化子基态能量和振动频率的影响只有在较高温度(O<γ<0.5)时才显现.     

对称Anderson晶格基态的局域方法近似

本文采用格林函数技术,计算了对称Anderson晶格的H-F基态能量,然后采用局域方法近似,计算了相关能、相关基态能量、局域磁矩、电荷涨落和自旋涨落。使用平方态密度,得到了解析表达式。结果表明,当同一格点的f-f库仑相互作用U减小或d-f杂化强度V增大,局域磁矩变小。 关键词：     

A new approximating method for Holstein model

A new approach-the method of coherent state orthogonal expansion is developed for one-dimensional Holstein model. In zeroth order approximation, the formula of ground state energy is deduced analytically and the solutions in strong- and weak-coupling limits are obtained correctly. When the trial wave-function of ground state is expanded to the second order, the obtained ground state energy agrees quite well with that calculated by numerical method in all coupling regimes. The present approach can be easily ...     

Impurity absorption in ZnSe/InP/ZnS core/shell/shell spherical quantum dots

Impurity states in ZnSe/InP/ZnS core/shell/shell spherical quantum dot where electrons are localized in the InP shell are considered using variational method. It is assumed that the hydrogenlike impurity is located in the center of quantum dot core (ZnSe). The impurity ground state wave function and energy, as well as electron binding energy are obtained. Interband direct transitions from the ground valence state into the ground donor state are considered. Dependences of absorption edge on the inner and outer radii of the quantum layer are derived.     

有限格点一维Holstein极化子研究

利用相干态正交化展开法,得到了一维Holstein模型基态能量的解析表达式.为了便于比较,将系统的基态试探波函数逐级展开到三级近似,计算了不同格点、不同耦合强度下的基态能量,在展开到3级近似时,所得结果与数值计算一致. 关键词： 相干态正交化展开 极化子 模拟退火方法     

有限深势阱里量子盘中极化子的基态性质

采用平面波展开、幺正变换和变分相结合的方法推导出有限深势阱里量子盘中极化子的基态能量公式.采用极化子单位进行数值计算,结果表明极化子的基态能量随势垒高度和势垒宽度的增大而增大,原因是势垒愈高、愈宽,电子穿透势垒的可能性愈小,导致电子能量增大,进而导致极化子基态能量增大.数值计算结果还表明极化子的基态能量随量子盘有效受限长度和量子盘半径的增大而减小;声子效应导致极化子能量较电子能量低.     

一维光晶格中超流Fermi气体基态性质的研究

研究了一维光晶格中超流Fermi气体基态解的性质.在平均场理论框架下,利用超流Fermi体系中原子间相互作用能与晶格势能相互平衡的条件,得到了一维光晶格中超流Fermi气体在整个BEC-BCS跨越区的一组基态解,给出了基态的原子数密度空间分布、总原子数和能量.进一步对系统从BEC端转变到BCS端时的基态解性质进行了深入分析和对比.结果表明,一维光晶格中超流Fermi气体基态分布具有一些特殊的性质,由于Fermi压力,相比而言超流Fermi气体在BCS端的基态原子数密度空间分布较为扩展,平均能量明显偏高.     

spin-Peierls系统低能量激发谱的理论研究

用玻色化技术和量子自洽方法研究了spin-Peierls系统的低能量激发谱,计算了二聚化相的基态、单粒子激发态和双粒子束缚态的能量、阻挫对其低能量行为的影响及其各自的自旋-自旋关联函数.结果表明,随着阻挫的增大,spin-Peierls系统中的基态能会逐渐减小,单粒子激发态能隙和双粒子束缚态能隙却会增大.双粒子束缚态和基态的关联函数具有类似的短程关联,而单粒子激发态的关联函数具有长程关联.因此导出,单粒子激发态为自旋三重态,双粒子束缚态与基态类似为自旋单态,它存在于双粒子连续激发态的下边.该结果与Ain等 关键词： spin-Peierls系统 束缚态 关联函数     

The energy levels of a two-electron two-dimensional parabolic quantum dot

This paper studies the two-electron total energy and the energy of the electron--electron interaction by using a variational method of Pekar type on the condition of electric--LO-phonon strong coupling in a parabolic quantum dot. It considers the following three cases: 1) two electrons are in the ground state; 2) one electron is in the ground state, the other is in the first-excited state; 3) two electrons are in the first-excited state. The relations of the two-electron total energy and the energy of the electron--electron interaction on the Coulomb binding parameter, the electron-LO-phonon coupling constant and the confinement length of the quantum dot are derived in the three cases.     

Numerical study of the one-dimensional quantum compass model

The ground state magnetic phase diagram of the one-dimensional quantum compass model (QCM) is studied using the numerical Lanczos method. A detailed numerical analysis of the low energy excitation spectrum is presented. The energy gap and the spin-spin correlation functions are calculated for finite chains. Two kind of the magnetic long-range orders, the Néel and a type of the stripe-antiferromagnet, in the ground state phase diagram are identified. Based on the numerical analysis, the first and second order quantum phase transitions in the ground state phase diagram are identified.