二维极化子在磁场中的基态能量

谐振子算符的代数运算方法被用于研究磁场中同时与表面光学声子及表面声学声子相互作用的二维电子。得到二维极化子在强磁场中直至四级微扰的基态能量以及它在任意强经磁场中的二级微扰基态能量表达式。结果发现,对磁场中二维极化子基态能量的影响中,表面声学声子有着与表面光学声子同样的甚至更为突出的贡献,是不容忽视的。 关键词：     

声子色散和磁场对极性晶体中极化子自陷能的影响

利用线性组合算符和幺正变换相结合的方法,研究了声子色散和磁场对极性晶体中极化子振动频率和自陷能的影响.计及纵光学(LO)声子色散,在抛物近似下导出了极性晶体中极化子自陷能随电子-纵光学声子耦合常数、回旋共振频率和声子色散系数之间的变化关系.数值计算结果表明极化子自陷能随电子-纵光学声子耦合常数、回旋共振频率和声子色散系数的增大而增大.     

声子色散对量子点中弱耦合磁极化子声子平均数的影响

利用线性组合算符和幺正变换相结合的方法,研究了声子色散对抛物量子点中弱耦合磁极化子电子周围光学声子平均数的影响．计及纵光学(LO)声子色散,在抛物近似下导出了基态能量与量子点有效受限长度、声子色散系数、回旋共振频率以及电子-声子耦合常数之间的关系,电子周围光学声子平均数与声子色散系数以及电子-声子耦合常数的关系．数值计算结果表明在弱耦合情况下抛物量子点中磁极化子的基态能量随声子色散系数的增大而减小;电子周围光学声子平均数随声子色散系数增大而增大,随电子-声子耦合常数的增大而增大．     

声子色散对极性晶体中磁极化子基态能量的影响

利用线性组合算符和幺正变换相结合的方法,研究了声子色散对极性晶体中磁极化子基态能量的影响.计及纵光学(LO)声子色散,在抛物近似下导出了极性晶体中磁极化子基态能量随电子-纵光学声子耦合常数、回旋共振频率和声子色散系数的变化关系.数值计算结果表明磁极化子基态能量随声子色散系数和电子-纵光学声子耦合常数的增大而减小,随回旋共振频率增大而增大.     

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.     

声子色散对量子点中弱耦合磁极化子声子平均数的影响

利用线性组合算符和幺正变换相结合的方法,研究了声子色散对抛物量子点中弱耦合磁极化子电子周围光学声子平均数的影响。计及纵光学（ LO）声子色散,在抛物近似下导出了基态能量与量子点有效受限长度、声子色散系数、回旋共振频率以及电子－声子耦合常数之间的关系,电子周围光学声子平均数与声子色散系数以及电子－声子耦合常数的关系。数值计算结果表明在弱耦合情况下抛物量子点中磁极化子的基态能量随声子色散系数的增大而减小;电子周围光学声子平均数随声子色散系数增大而增大,随电子－声子耦合常数的增大而增大。     

声子色散对量子点中弱耦合磁极化子性质的影响(英文)

利用线性组合算符和幺正变换的方法,研究声子色散对磁场中抛物量子点弱耦合磁极化子性质的影响.计及LO声子色散,在抛物近似下导出了基态能量与量子点有效受限长度、声子色散系数、磁场强度以及耦合强度之间的关系.我们可以得到在弱耦合情况下抛物量子点中磁极化子的基态能量E0随量子点有效受限长度l0、电子声子耦合常数α和声子色散系数γ的增大而减小,随磁场回旋频率ωc增大而增大.自陷能Eotr随声子色散系数γ增大而增大.     

声子色散对极性晶体中磁极化子基态能量的影响

利用线性组合算符和幺正变换相结合的方法，研究了声子色散对极性晶体中磁极化子基态能量的影响。计及纵光学（LO）声子色散，在抛物近似下导出了极性晶体中磁极化子基态能量随电子-纵光学声子耦合常数、回旋共振频率和声子色散系数的变化关系。数值计算结果表明磁极化子基态能量随声子色散系数和电子-纵光学声子耦合常数的增大而减小，随回旋共振频率增大而增大。     

二维量子点中极化子的自旋弛豫

在考虑Rashba自旋-轨道耦合的条件下, 采用二次幺正变换和变分方法研究了二维抛物量子点中由于电子与体纵光学声子的耦合作用形成的极化子在基态Zeeman分裂能级上的自旋弛豫过程.这一过程主要是通过吸收或发射一个形变势或压电声学声子完成.具体分析了强、弱耦合两种极限下极化子自旋弛豫率与外磁场、量子点半径、Landau因子参数、Rashba自旋轨道耦合参数的变化关系. 关键词： 自旋弛豫 极化子 Rashba自旋轨道耦合 量子点     

极性晶体中与形变势相互作用的表面极化子

有不少的极性晶体,电子与表面光学(SO)声子耦合强,但与表面声学(SA)声子耦合弱.研究电子与SO声子耦合强,与SA声子耦合弱的极性晶体中与形变势相互作用的表面极化子的性质.采用改进了的线性组合算符和微扰法导出了极性晶体中与形变势相互作用的表面极化子的有效哈密顿量.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,讨论对表面极化子的有效哈密顿量、有效质量和有效相互作用势的影响.     

On the possibility of self-trapping transition of acoustic polarons in two dimensions

A 2D electron-longitudinal-acoustic-phonon interaction Hamiltonian is derived and used to calculate the ground-state energy of the acoustic polarons in two dimensions. The numerical results for the ground-state energy of the acoustic polarons in two and three dimensions are obtained. The 3D results agree with those obtained by using the Feynman path-integral approach. It is found that the critical coupling constant of the transition from the quasifree state to the self-trapped state in the 2D case is much smaller than in the 3D case for a given cutoff wave-vector. The theory has been used to judge the possibility of the self-trapping for several real materials. The results indicate that the self-trappings of the electrons in AlN and the holes in AlN and GaN are expected to be observed in 2D systems.     

Self-Trapping of Acoustic Polaron in One Dimension

The ground-state energy and effective mass of an acoustic polaron in one dimension are calculated by using an electron-longitudinal-acoustic-phonon interaction Hamiltonian derived here. The self-trapping of the acoustic polaron is discussed. It is found that the critical coupling constant shifts toward weaker electron-phonon interaction with the increasing cutoff wave vector and the products of the critical coupling constant by the cutoff wave vector tend to a certain value. The self-trapping of acoustic polarons in one dimension is easier to be realized than that in three- and two-dimensional systems. The self-trapping transition of acoustic polarons is expected to be observed in the one dimensional systems of alkali halides and wide-band-gap semiconductors.     

Phase diagram of the Holstein polaron in one dimension

The behavior of the 1D Holstein polaron is described, with emphasis on lattice coarsening effects, by distinguishing between adiabatic and nonadiabatic contributions to the local correlations and dispersion properties. The original and unifying systematization of the crossovers between the different polaron behaviors, usually considered in the literature, is obtained in terms of quantum to classical, weak coupling to strong coupling, adiabatic to nonadiabatic, itinerant to self-trapped polarons and large to small polarons. It is argued that the relationship between various aspects of polaron states can be specified by five regimes: the weak-coupling regime, the regime of large adiabatic polarons, the regime of small adiabatic polarons, the regime of small nonadiabatic (Lang-Firsov) polarons, and the transitory regime of small pinned polarons for which the adiabatic and nonadiabatic contributions are inextricably mixed in the polaron dispersion properties. The crossovers between these five regimes are positioned in the parameter space of the Holstein Hamiltonian.     

Polaron formation and hopping conductivity in the Holstein-Hubbard model

On the basis of the Holstein-Hubbard model the formation of polarons at finite densities is investigated by means of a variational approach appropriate for describing squeezing and correlation effects. An effective Hubbard model for the polarons is derived, where the correlations are treated within the slave-boson saddlepoint approximation. For low enough phonon frequencies, with increasing coupling an abrupt self-trapping transition from light to heavy polarons is found. With increasing density the squeezing effect increases, and the transition is shifted to higher couplings. In the case of an effective Coulomb repulsion, the self-trapping transition is shifted to lower couplings with increasing Hubbard interaction, and the effective polaron mass below the transition is enhanced. In the heavy polaron regime, the frequency-dependent polaron hopping conductivity is calculated. There occur qualitative finite-density and correlation effects on the zero-temperature absorption spectrum which are discussed with respect to their possible relevance to the midinfrared absorption in high-T _c superconductors.     

极性半导体的表面电子

有不少的极性半导休,电子与表面声学声子和体纵光学声子的耦合弱,但与表面光学声手的耦台强.本文同时考虑体纵光学声子、表面光学声子以及表面声学声予的影响,研究这类半导体的表面电予的性质,采用线性组合算符和拉格朗日乘子法,导出其有效哈密顿量和重正化质量。     

通过形变势弱耦合表面极化子的性质

采用Huybrechts线性组合算符和幺正变换法,导出了晶体中电子与表面光学声子和表面声学声子均为弱耦合极化子的有效哈密顿量,并对两种极限情况进行了讨论。     

抛物量子点中弱耦合束缚极化子的相互作用能

研究了抛物量子点中弱耦合束缚极化子的性质,采用改进的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、有效质量和相互作用能。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、有效质量和相互作用能的影响。数值计算结果表明:弱耦合束缚极化子的振动频率和相互作用能随有效受限长度的减少而急剧增大,振动频率随库仑势以及电子LO声子耦合强度的增加而增加,而相互作用能随库仑势以及电子LO声子耦合强度的增加而减小。有效质量仅与电子LO声子耦合强度有关。     

Sharp transition for single polarons in the one-dimensional Su-Schrieffer-Heeger model

We study a single polaron in the Su-Schrieffer-Heeger (SSH) model using four different techniques (three numerical and one analytical). Polarons show a smooth crossover from weak to strong coupling, as a function of the electron-phonon coupling strength λ, in all models where this coupling depends only on phonon momentum q. In the SSH model the coupling also depends on the electron momentum k; we find it has a sharp transition, at a critical coupling strength λ(c), between states with zero and nonzero momentum of the ground state. All other properties of the polaron are also singular at λ=λ(c). This result is representative of all polarons with coupling depending on k and q, and will have important experimental consequences (e.g., in angle-resolved photoemission spectroscopy and conductivity experiments).     

量子线中强耦合极化子的温度效应

采用Tokuda改进的线性组合算符法和有效质量下的变分法,研究在抛物势作用下,同时考虑电子与LO声子相互作用时,温度对量子线中强耦合极化子特性的影响。对RbCl晶体所作的数值计算结果表明,量子线中强耦合极化子的基态能量、平均数和光学声子平均数均随温度的升高而增加。     

磁场中与形变势相互作用的表面极化子的有效质量

近年来 ,磁场中极性晶体表面极化子的性质已引起人们的广泛关注。Ｌａｒｓｅｎ[1 ] 采用四级微扰法计算了磁场中二维极化子的基态能量。Ｗｅｉ等[2 ] 用格林函数方法研究了交界面磁极化子的回旋共振质量和频率。本文作者之一[3] 用线性组合算符讨论了磁场中表面极化子的性质。实际上 ,到目前为止 ,对表面磁极化子的研究 ,只限于考虑表面电子只与表面光学 (ＳＯ)声子和体纵光学 (ＬＯ)声子相互作用 ,而忽略了表面电子与表面声学 (ＳＡ)声子相互作用。对电子通过形变势与晶格声学振动相互作用形成的准粒子 声学形变势 (ＡＤＰ)极化子性质的研…