Semiclassical model of a one-dimensional quantum dot

A one-dimensional quantum dot at zero temperature is used as an example for developing a consistent semiclassical method. The method can also be applied to systems of higher dimension that admit separation of variables. For electrons confined by a quartic potential, the Thomas-Fermi approximation is used to calculate the self-consistent potential, the electron density distribution, and the total energy as a function of the electron number and the effective electron charge representing the strength of interaction between electrons. Use is made of scaling with respect to the electron number. An energy quantization condition is derived. The oscillating part of the electron density and both gradient and shell corrections to the total electron energy are calculated by using the results based on the Thomas-Fermi model and analytical expressions derived in this study. The dependence of the shell correction on the interaction strength is examined. Comparisons with results calculated by the density functional method are presented. The relationship between the results obtained and the Strutinsky correction is discussed.     

Bosonization for disordered and chaotic systems

Using a supersymmetry formalism, we reduce exactly the problem of electron motion in an external potential to a new supermatrix model valid at all distances. All approximate nonlinear sigma models obtained previously for disordered systems can be derived from our exact model using a coarse-graining procedure. As an example, we consider a model for a smooth disorder and demonstrate that using our approach does not lead to a "mode-locking" problem. As a new application, we consider scattering on strong impurities for which the Born approximation cannot be used. Our method provides a new calculational scheme for disordered and chaotic systems.     

Study on combined immersion electrostatic-magnetic focusing lenses without crossovers

Wide electron beam focusing properties of combined immersion electrostatic-magnetic focusing system are studied; their curvilinear axis aberration coefficients are derived. Based upon ray tracing method and curvilinear axis theory of wide electron beam systems, a program was written and as an example, a practical structure of the lens is numerically simulated. The computed results show that demagnified images with high resolution of tens of nanometers can be obtained for an object field size in millimeter range.     

The embedding method applied to Y-junctions in electron waveguides

The transport properties of a Y-junction have been analysed using a method derived from the embedding method for confined quantum systems. The method is used to calculate the eigenstates and Green function, which are expanded in any convenient basis set and then used to calculate the transmission and reflection coefficients. Results have been obtained for the Y-junction with and without the presence of an external electric field. Current flow studies have been carried out to interpret the transmission results. Vortices appear in the current flow which correspond to nodes in the associated wavefunctions. It has been shown that by carefully selecting the applied electric field and electron energies, the Y-junction can operate as a bistable (flip-flop) device or a simple switch.     

Absorption line CW EPR using an amplitude modulated longitudinal field

In standard continuous wave electron paramagnetic resonance (CW-EPR) experiments, the first derivative of absorption lines is detected. This type of a line shape is caused by the magnetic field modulation and is usually an undesired feature, since the sensitivity of CW-EPR drastically decreases with increasing linewidth. A new approach is introduced, which allows for the measurement of absorption line EPR spectra in systems with broad inhomogeneous lines. The method makes use of multiple-photon transitions that are induced in spin systems when a transverse microwave and a longitudinal radio frequency field are simultaneously applied. The absorption lines are obtained by using amplitude modulation of the radio frequency field and slight saturation of the spectral lines. The basics of the new approach are discussed and experimental examples are given.     

Electronic structure of strongly correlated systems emerging from combining path-integral renormalization group with the density-functional approach

A new scheme of first-principles computation for strongly correlated electron systems is proposed. This scheme starts from the local-density approximation (LDA) at high-energy band structure, while the low-energy effective Hamiltonian is constructed by a downfolding procedure using combinations of the constrained-LDA and the GW method. The obtained low-energy Hamiltonian is solved by the path-integral renormalization-group method, where spatial and dynamical fluctuations are fully considered. An application to Sr2VO4 shows that the scheme is powerful in agreement with experimental results. It further predicts a nontrivial orbital-stripe order.     

Analytical Description of Electron Motion in a Three-Dimensional Undulator Field

The motion of relativistic electrons in an ideal three-dimensional magnetic undulator field satisfying the stationary Maxwell equation is considered. The system of nonlinear differential equations of the electron motion is solved analytically using perturbation theory rather than the method for averaging fast oscillations of the electron trajectory (the focusing approximation), as was done in a series of previous studies. The obtained analytical expressions for the trajectories describe the behavior of particles in a three-dimensional magnetic undulator field much more accurately than the formulas obtained within the framework of the focusing approximation. The analysis of these expressions shows that the behavior of electrons in a three-dimensional undulator field is much more complicated than that described by equations obtained using the averaging method. In particular, it turns out that the electron trajectories in the undulator have a cross dependence; in this case, variations in the initial trajectory parameters in the vertical plane cause changes in the horizontal trajectory components, and vice versa. The results of calculations of the trajectories carried out using analytical expressions are close to those of numerical calculations using the Runge-Kutta method.     

偏转磁场场参数的理论分析与计算

偏转磁场的场参数H₀,H₂,H₄常用来表示偏转系统的电子光学性质。本文从毕奥-沙伐定律出发,先得出单匝喇叭状鞍形线圈场参数的解析表达式,接着运用傅里叶谐波分析法求出当线匝具有某种分布时的场参数的解析表达式,从而建立谐波分量与场参数的直接关系,并得出一些有用的结果。可用于显象管、摄象管、雷达显示管、扫描电子显微镜、电子束曝光机等的偏转线圈设计。 关键词：     

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在HL-2A装置的电子回旋辐射(ECE)外差测量中,为实现电子温度剖面分布的绝对测量,采用双温度法和磁场扫描法分别对扫频和多道ECE测量系统进行了标定,获得了各道间的相对标定系数,并利用等离子体中心道Thomson散射测量的电子温度对ECE测量系统进行了绝对标定。结果表明,这两种方法都能实现可靠的标定,并对两者的优劣进行了比较和讨论。     

Exchange symmetry in a system of nonrelativistic spin-1/2 fermions in the Feynman quantum statistics representation

A compact representation is obtained for the quantum statistical sum of indistinguishable nonrelativistic spin-1/2 fermions in the form of Feynman path integrals which can be used as the basis to develop a fundamentally exact method of computer modeling for systems of strongly interacting electrons at nonzero temperature. A basis of symmetrized wave functions is constructed using Young symmetry operators. An exact permutation symmetrization procedure leads to an avalanche-like multiplication in the number of diagrams of linked Feynman integrals of the order of N!. The partition function can be simplified without introducing any approximations and this is performed numerically by computer by direct sorting of diagrams. The control tables obtained, containing combinatorial weights of diagrams, direct the Markov random walk process in virtual trajectory space which is achieved numerically by computer. The equilibrium characteristics of the quantum system are calculated by averaging. This approach is an expansion of the Monte Carlo-Metropolis method to systems of quantum indistinguishable particles with spin. Demonstration numerical calculations using this method were made for the simplest exchange systems, for a hydrogen molecule, a Be⁺ ion, and a Li atom. The ground state of the hydrogen molecule is reproduced with a statistical error of 0.2%. Exchange-correlation effects lead to nontrivial structural changes in the thermally excited electron shells of ions in a state of strong plasma compression.     

蒙特卡罗法模拟新型扫描电镜的工作原理

根据新型分析扫描电子显微镜的工作原理及载能电子束和固体相互作用原理,利用蒙特卡罗方法模拟入射电子和靶物质的相互作用过程,编制了蒙特卡罗模拟计算程序,获得了对应不同电镜工作参数的入射电子背散射率.     

Verallgemeinerung der Methode der singulären Normallösungen für isotherme irreversible Vlasov-Systeme

Irreversible Vlasov systems, i.e. systems governed by a Vlasov-type kinetic equation including entropy-producing collision terms, are treated by the techniques of singular normal modes and singular integral equations using a new indirect method which renders possible a straightforward generalization of the Case formalism as developed originally for collision-free Vlasov plasmas. This method is in contrast to a more complex method given by the present authors for the first application of the singular normal mode expansion to irreversible Vlasov systems (1970). The linearized Vlasov operator supplemented by complete Bhatnagar-Gross-Krook collision integrals as the most important model collision terms is analyzed in detail for a nonrelativistic, nondegenerate, stationary electron gas with neutralizing positive ions and neutral particles without a magnetic field at constant temperature, generalizations for more complex irreversible Vlasov systems being possible. The key of the indirect method given is the introduction of a transformed electron distribution function containing as an additive term an integral over the usual distribution function.     

Flourescence detection of surface exafs

The possibilities for flourescence detection of surface EXAFS are studied using thin films of gold on various substrates. For glancing incidence angles it is found that excellent signal to noise ratios can be obtained even for submonolayer films, demonstrating that the technique should have wide applicability to surface and near surface systems. In many cases the signal to noise is superior to electron detection techniques, and its sensitivity suggests the method may also be useful for detection of trace elements on surfaces.     

Mapping of electrostatic potential in deep submicron CMOS devices by electron holography

Quantitative two-dimensional maps of electrostatic potential in device structures are obtained using off-axis electron holography with a spatial resolution of 6 nm and a sensitivity of 0.17 V. Estimates of junction depth and variation in electrostatic potential obtained by electron holography, process simulation, and secondary ion mass spectroscopy show close agreement. Measurement artifacts due to sample charging and surface "dead layers" do not need to be considered provided that proper care is taken with sample preparation. The results demonstrate that electron holography could become an effective method for quantitative 2D analysis of dopant diffusion in deep-submicron devices.     

Quantum-mechanical modeling without wave functions

It has been shown that the variational principle can be used as the practical way to find the electron density and the total energy in terms of the density functional theory without solving the Kohn-Sham equations (the so-called orbital-free approach). The equilibrium interatomic distances and binding energies found using examples of diatomic systems Si₂, Al₂, and P₂ are in good agreement with the published data. The results obtained for Si-Al, Si-P, and Al-P dimers are also close to the results obtained by the Kohn-Sham method.     

静电聚焦同心球系统验证电子光学成像系统的时间像差理论

关于动态电子光学成像系统的时间像差理论,计算时间像差系数有两种方法——τ变分法和直接积分法.它们的差别在于：τ变分法计算二级几何时间像差系数必须求解微分方程,而直接积分法仅需进行积分运算.采用静电同心球系统的理想模型对这两种方法的正确 性进行了检验.结果表明：这两种方法求解电子光学成像系统的时间像差系数的结果完全一致,所求得的时间色差系数与理想模型的解析解完全相同,从而证明两种方法是等价并且正确的.通过验证表明,直接积分法的计算更为简便,适于实际系统的计算与设计. 关键词： 阴极透镜 电子光学成像系统 动态电子光学 时间像差理论     

Transmission electron microscopy of heteroepitaxial layer structures

The characterization of heterostructural layers by transmission electron microscopy using cleaved wedge specimens proves to be a fast analysis method. Examples are given for GaAlAs/GaAs and strained GaInAs/GaAs layer systems. It is demonstrated that the (200) dark-field contrast of GaInAs/GaAs layers reverses at an In concentration of x ≈ 0.47. Experimental high-resolution electron images of the edges of cleaved 90° wedges compare very well with computer-simulated images. Characteristic image features in GaAs and AlAs are explained by non-linear beam interactions and are shown to be sensitive to electron beam misalignment. These investigations are important to make a more precise assessment of interfaces possible.     

Analysis of the Three-Dimensional Model of Diffusion of Minority Charge Carriers Generated by an Electron Probe in a Heterogeneous Semiconductor Material by Means of Projection Methods

Algorithms for using the Galerkin projection method and the projection least squares method to analyze the three-dimensional model of the diffusion of minority charge carriers generated by an electron probe in a semiconductor material are presented. The results obtained using these methods are compared with the analytical solution. An estimate of the error is given, and the condition for the computation stability of the projection least squares method in the form of the limiting relation is obtained.     

Exchange and spin states in quantum dots under strong spatial correlations. Computer simulation by the Feynman path integral method

The fundamental laws in the behavior of electrons in model quantum dots that are caused by exchange and strong Coulomb correlations are studied. The ab initio path integral method is used to numerically simulate systems of two, three, four, and six interacting identical electrons confined in a three-dimensional spherical potential well with a parabolic confining potential against the background of thermal fluctuations. The temperature dependences of spin and collective spin magnetic susceptibility are calculated for model quantum dots of various spatial sizes. A basically exact procedure is proposed for taking into account the permutation symmetry and the spin state of electrons, which makes it possible to perform numerical calculations using modern computer facilities. The conditions of applicability of a virial energy estimator and its optimum form in exchange systems are determined. A correlation estimator of kinetic energy, which is an alternative to a basic estimator, is suggested. A fundamental relation between the kinetic energy of a quantum particle and the character of its virtual diffusion in imaginary time is demonstrated. The process of natural “pairing” of electron spins during the compression of a quantum dot and cooling of a system is numerically reproduced in terms of path integrals. The temperature dependences of the spin magnetic susceptibility of electron pairs with a characteristic maximum caused by spin pairing are obtained.