量子点电子态的尺寸效应和磁场的影响

在有效质量近似下，使用少体物理的方法，计算了在不同大小约束势情况下二维量子点三电子系统的自旋极化态的能谱.结果显示幻数角动量是否出现，主要取决于量子力学对称性、约束势大小及磁场的强度. 关键词：     

量子盘三电子系统的基态性质

用少体物理的方法，研究了磁场中量子盘三电子系统极化态的基态能量和盘厚之间的关系.随着量子盘厚度的增加，三电子系统中的幻数角动量态即分数量子霍耳效应态将不再出现.结果还表明，幻数角动量消失的量子盘厚度随磁场强度的增加而减小. 关键词：     

磁场下量子点的电子态

原子和核结构的少体理论方法改进后用以研究磁场下包含三个电子的二维量子点的电子性质。我们首先解析地证明了对应于三电子系统基态的幻数角动量的存在起源于量子力学对称性的要求。基于少体理论方法的计算确认了上述理论分析的正确性,计算同时显示出磁场强度和约束势对三电子系统基态的影响。 关键词：     

磁场中量子点四电子系统的基态性质

利用少体物理的方法，研究了磁场中二维量子点四电子系统基态能量与角动量间的变化关系，以及磁场强度和约束势的大小对四电子系统基态的影响.数值计算表明，量子力学对称性是幻数角动量出现的重要因素. 关键词：     

InGaAs/GaAs应变脊形量子线分子束外延非平面生长研究

提出了新型InGaAs/GaAs应变脊形量子线结构．这种应变脊形量子线结合了非平面应变外延层中沿不同晶向能带带隙的变化、非平面生长应变层In组分的变化，以及非平面外延层厚度的变化等三方面共同形成的横向量子限制效应的综合作用．在非平面GaAs衬底上用分子束外延生长了侧面取向为（113）的脊形AlAs/In GaAs/AlAs应变量子线．用10K光致荧光谱测试了其发光性质．用Kronig-Penney模型近似计算了这种应变脊形结构所具有的横向量子限制效应，发现其光致荧光谱峰位的测试结果，与计算结果相比，有10meV的“蓝移”．认为这一跃迁能量的“蓝移”是上述三方面横向量子限制效应综合作用的结果 关键词：     

Ga6N6团簇结构性质的理论计算研究

在密度泛函理论的基础上，对Ga₆N₆团簇进行了第一性原理、全电子、从头计算，得到了10种可能的三维空间结构及其电子结构.其中最稳定结构的一对GaN原子的平均结合能为9.748 eV，因此是可能存在的.但与他人计算的Ga₃N₃和Ga₅N₅相比，Ga₆N₆团簇可能不属于“幻数”团簇.最稳定结构的Ga₆N_{6 关键词： GaN 团簇 电子结构}     

近红外量子点的发光机理研究

近红外量子点具有独特的光学性质,如荧光量子产率高,荧光寿命长,荧光发射波长可调,半峰宽窄且斯托克斯位移较大,耐光漂白能力强等, 及“近红外生物窗口”的优势,使它们在生物荧光标记、太阳能电池、量子化计算、光催化、化学分析、食品检测及活体成像等领域具有巨大的潜在应用价值。目前对近红外量子点的发光机理研究还不够完善,针对国内外的研究现状,重点对核/壳结构的量子点(CdTe/CdSe,CdSe/CdTe/ZnSe等)、三元量子点(Cu-In-Se,CuInS₂等)和掺杂型量子点(Cu∶InP等)三种不同类型近红外量子点的发光机理进行了综述。其中,Type-Ⅱ型核/壳结构量子点的发光机理多为带间复合发光,三元量子点以本征缺陷型发光为主,掺杂型量子点多为杂质缺陷型发光。探讨了近红外量子点发光原理存在的问题及发展的方向。对近红外量子点的发光机理进行系统地研究不仅有助于我们理解近红外量子点的发光性质,而且对完善相似高品质量子点的合成方法具有重要意义。     

半导体量子点及其应用(Ⅰ)

量子点，又称“人造原子”，它是纳米科学与技术研究的重要组成部分，由于载流子在半导体量子点中受到三维限制而具有的优异性能，构成了量子器件和电路的基础，在未来的纳米电子学、光电子学，光子、量子计算和生命科学等方面有着重要的应用前景，受到人们广泛重视，文章分为Ⅰ、Ⅱ两个部分：第Ⅰ部分介绍了半导体量子点结构的制备和性质；第Ⅱ部分介绍了量子点器件的可能应用。     

半导体量子点及其应用(Ⅱ)

理论分析表明，基于三维受限量子点的分离态密度函数的量子器件，以其独特的优异电学、光学性能和极低功耗，在纳米电子学、光电子学，生命科学和量子计算等领域有着极其广泛的应用前景，本文仅就量子点在量子点激光器、量子点红外探测器、单光子光源、单电子器件和量子计算机等方面的应用作一简单的介绍．     

有限元法计算GaN/AlN量子点结构中的电子结构

根据有效质量理论单带模型，采用有限元方法(FEM)计算了GaN/AlN量子点结构中的电子结构，分析了应变和极化对电子结构的影响，计算了不同尺寸的量子点的能级，分析了量子点的大小对电子能级的影响. 结果表明，形变势和压电势提升了电子能级，而且使简并能级分裂. 随着量子点尺寸的增大，量子限制能减小，而压电势能起到更显著的作用，使电子的能级降低，吸收峰发生红移. 关键词： GaN/AlN量子点结构 有效质量理论 电子能级     

The Spectra of Low-Lying States of Three-Dimensional Quantum Dots in a Magnetic Field

We have studied three-electron systems in three-dimensional anisotropic parabolic quantum dots with the cylindrical symmetry in magnetic fields by means of the method of few-body physics. The results show that the energy levels of a number of states are the lowest, as the magic angular momentum states of two-dimensional quantum dots.     

Magnetic field and symmetry effects in small quantum dots

Shell phenomena in small quantum dots with a few electrons under a perpendicular magnetic field are discussed within a simple model. It is shown that various kinds of shell structures, which occur at specific values for the magnetic field lead to a disappearance of the orbital magnetization for particular magic numbers for noninteracting electrons in small quantum dots. Including the Coulomb interaction between two electrons, we found that the magnetic field gives rise to dynamical symmetries of a three-dimensional axially symmetric two-electron quantum dot with a parabolic confinement. These symmetries manifest themselves as near-degeneracy in the quantum spectrum at specific values of the magnetic field and are robust at any strength of the electron-electron interaction. A remarkable agreement between experimental data and calculations exhibits the important role of the thickness for the two-electron quantum dot for analysis of ground state transitions in a perpendicular magnetic field. The text was submitted by the author in English.     

CORRELATION EFFECTS ON THE GROUNDSTATES OF THREE-ELECTRON QUANTUM DOTS IN A STRONG MAGNETIC FIELD

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Off—Center D—Centers in a Quantum Dot in the Presence of a Perpendicular Magnetic Fields

We investigate the effect of the position of the donor in quantum dots on the energy spectrum in the presence of a perpendicular magnetic field by using the method of few-body physics,As a function of the magnetic field,we find,when D^- centers are placed sufficiently off-center,discontinuous ground-state transitions which are similar to those found in many-electron parabolic quantum dots.Series of magic numbers of angular momentum which minimize the ground-state electron-electron interaction energy have been discovered.The dependence of the binding energy of the gound-state of the D^- center on the dot radius for a few values of the magnetic field strength is obtained and compared with other results.     

Shape effects on the ground-state energy of a three-electron quantum dot

In this work we will theoretically study the ground-state electronic structure of three-electron polygonal quantum dots by means of the configuration interaction method. Transition from a weakly correlated regime to a strongly correlated regime is investigated for quantum dots with hexagonal, square, and triangular geometries. Our numerical results reveal that the ground-state spin and the charge density distribution of the system are sensitive to the shape of the quantum dot.     

Planar Dirac electrons in magnetic quantum dots

In this paper, we explore the size- and mass-dependent energy spectra and the electronic correlation of two- and three-electron graphene magnetic quantum dots. It is found that only the magnetic dots with large size can well confine the electrons. For large graphene magnetic dots with massless (ultra-relativity) electrons, the energy level structures of two Dirac electrons and even the ground state spin and angular momentum of three electrons are quite different from those of the usual semiconductor quantum dots. Also we reveal that such differences are not due to the magnetic confinement but originate from the character of the Coulomb interaction of two-component electronic wavefunctions in graphene. We reveal that the increase of the mass leads to both the crossover of the energy spectrum structures from the ultra-relativity to non-relativity ones and the increasing of the crystallization. The results are helpful for the understanding of the mass and size effects and may be useful in controlling the few-electron states in graphene-based nanodevices.     

Quantum cascade transitions in nanostructures

In this article we review the physical characteristics of quantum cascade transitions (QCTs) in various nanoscopic systems. The quantum cascade laser which utilizes such transitions in quantum wells is a brilliant outcome of quantum engineering that has already demonstrated its usefulness in various real-world applications. After a brief introduction to the background of this transition process, we discuss the physics behind these transitions in an externally applied magnetic field. This has unravelled many intricate phenomena related to intersubband resonance and electron relaxation modes in these systems. We then discuss QCTs in a situation where the quantum wells in the active regions of a quantum cascade structure are replaced by quantum dots. The physics of quantum dots is a rapidly developing field with its roots in fundamental quantum mechanics, but at the same time, quantum dots have tremendous potential applications. We first present a brief review of those aspects of quantum dots that are likely to be reflected in a quantum-dot cascade structure. We then go on to demonstrate how the calculated emission peaks of a quantum-dot cascade structure with or without an external magnetic field are correlated with the properties of quantum dots, such as the choice of confinement potentials, shape, size and the low-lying energy spectra of the dots. Contents PAGE 1 Introduction 456 2 Intersubband transitions in quantum wells 458 3 Quantum cascade transitions 462 3.1. Basic principles 462 3.1.1. Minibands and minigaps 464 3.1.2. Vertical transitions 464 3.1.3. GaAs/AlGaAs quantum cascade lasers 464 3.1.4. QCLs based on superlattice structures 465 3.1.5. Type-II quantum cascade lasers 466 3.1.6. Recent developments 466 3.2. Applications: sense-ability and other qualities 466 4 Quantum cascade transitions in novel situations 467 4.1. External magnetic field 467 4.1.1. Parallel magnetic field 468 4.1.2. Many-body effects: depolarization shift 470 4.1.3. The role of disorder 471 4.1.4. Tilted magnetic field 475 4.2. Magneto-transport experiments and phonon relaxation 479 4.3. Magneto-optics experiment and phonon relaxation 484 5 A brief review of quantum dots 485 5.1. From three- to zero-dimensional systems 485 5.2. Making the dots 487 5.2.1. Lithographic patterning 487 5.2.2. Self-assembled quantum dots 488 5.3. Shell filling in quantum dots 489 5.4. Electron correlations: spin states 490 5.5. Anisotropic dots 491 5.6. Influence of an external magnetic field 491 5.6.1. The Fock diagram 491 5.6.2. The no-correlation theorem 492 5.6.3. Correlation effects and magic numbers 492 5.6.4. Spin transitions 493 5.7. Quantum dots in novel systems 494 5.8. Potential applications of quantum dots 494 5.8.1. Single-electron transistors (SETs) 494 5.8.2. Single-photon detectors 494 5.8.3. Single-photon emitters 495 5.8.4. Quantum-dot lasers 495 6 Quantum cascade transitions in quantum-dot structures 496 6.1. Quantum dots versus quantum wells 496 6.2. QCT with rectangular dots 497 6.2.1. Vertical transitions 500 6.2.2. Diagonal transitions 501 6.3. QCT in a parabolic dot 504 6.4. Magnetic field effects on intersubband transitions 506 6.5. Mid-IR luminescence from a QD cascade device 512 7 Summary and open questions 513 Acknowledgements 515 References 515