高压下LiNbO3晶体电子结构与光学性质的第一性原理研究

利用基于密度泛函理论的第一性原理超软赝势平面方法研究了外界压强对LiNbO3晶体波态密度,能带结构,电荷密度以及光学性质的影响.能带结构计算表明,价带顶主要由O-2p和Nb-4d态电子贡献,导带底主要由Nb-4d态电子贡献,且带隙随着压强的增加而线性增大.利用复介电函数计算了LiNbO3晶体在不同压强下光学性质的折射率、反射率、吸收系数,能量损失函数以及光电导率. 研究发现：外界压强大于10Gpa时,静态折射率保持不变,随外界压强的增加,反射率、吸收函数以及光电导率区间有一定程度的拓宽,损失函数峰发生“蓝移”.研究表明,高压可以有效调控LiNbO3晶体的电子结构和光学性质,为LiNbO3晶体的高压应用提供了有益的理论依据.     

高压下LiNbO_3晶体电子结构与光学性质的第一性原理研究

利用基于密度泛函理论的第一性原理超软赝势平面方法研究了外界压强对LiNbO_3晶体态密度,能带结构,电荷密度以及光学性质的影响.能带结构计算表明,价带顶主要由O-2p和Nb-4d态电子贡献,导带底主要由Nb-4d态电子贡献,且带隙随着压强的增加而线性增大.利用复介电函数计算了LiNbO_3晶体在不同压强下光学性质的折射率、反射率、吸收函数,能量损失函数以及光电导率.研究发现:外界压强大于10GPa时,静态折射率保持不变,随外界压强的增加,反射率、吸收函数以及光电导率区间有一定程度的拓宽,损失函数峰发生"蓝移".研究表明,外界高压可以有效调控LiNbO_3晶体的电子结构和光学性质,为LiNbO_3晶体的高压应用提供了有益的理论依据.     

Fe9Si的电子结构及铁磁性质的第一性原理研究

采用第一性原理的密度泛函理论（Density Functional Theory）赝势平面波方法, 对Fe9Si的电子结构和铁磁性质进行理论计算。 计算结果表明： (1) Fe9Si具有负的形成热-0.1094 eV/atom, 结合能5.124 eV/atom, 表明Fe9Si合金具有强结合力和结构稳定性; (2) Fe9Si具有典型的金属能带特征, 穿过Fermi能级的能带最主要是Fe的3d态电子的贡献, 其次是来自Si的3p态电子的贡献。 结合键不是单一金属键, 而是金属键和共价键组成的混合键; (3) Fe9Si的铁磁性主要来自Fe原子的未满层壳的3d态电子的自旋。 计算结果为Fe9Si铁磁性材料的设计与应用提供了理论依据。     

高压下ZnSe的电子结构和光学性质

运用密度泛函理论体系下的平面波赝势(PWP)和广义梯度近似(GGA)方法,利用第一性原理计算了不同的压强下ZnSe晶体闪锌矿结构,得到了它的平衡晶格常数、总能量、电子态密度分布、能带结构、光反射与吸收系数等性质,详细讨论了高压下ZnSe的电子结构,并且结合实验结果定性地分析了高压下的光学性质. 关键词： 闪锌矿结构 态密度 能带结构 密度泛函理论     

Fe_9Si的电子结构及铁磁性质的第一性原理研究

采用第一性原理的密度泛函理论(Density Functional Theory)赝势平面波方法,对Fe_9Si的电子结构和铁磁性质进行理论计算.计算结果表明:(1)Fe_9Si具有负的形成热-0.1094 eV/atom,结合能5.124eV/atom,表明Fe_9Si合金具有强结合力和结构稳定性;(2)Fe_9Si具有典型的金属能带特征,穿过Fermi能级的能带最主要是Fe的3d态电子的贡献,其次是来自Si的3p态电子的贡献.结合键不是单一金属键,而是金属键和共价键组成的混合键;(3)Fe_9Si的铁磁性主要来自Fe原子的未满层壳的3d态电子的自旋.计算结果为Fe_9Si铁磁性材料的设计与应用提供了理论依据.     

YFe2B2电子结构的第一性原理计算

基于密度泛函理论,从头计算了具有ThCr₂Si₂型四方晶系的稀土金属化合物Yfe₂B₂体相的物理特性.能量计算结果表明Yfe₂B₂体相处于顺磁金属态;而能带结构、态密度、布居数以及差分电荷　分布的计算结果表明Y原子的5s,5p电子具有很强的局域性;Fe原子的3d电子和B的1s,2s和2p电子强烈耦合,使得最近邻Fe原子与B原子形成了Fe—B共价键;最近邻的两个Fe原子之间由于 关键词： 稀土金属化合物 第一性原理计算 能带结构 态密度     

C掺杂β-FeSi2的电子结构和光学特性研究

采用基于密度泛函理论的第一性原理赝势平面波方法,对C掺杂β-FeSi2的几何结构、能带结构、态密度和光学性质进行了理论计算.几何结构和电子结构的计算表明：C掺杂后使得β-FeSi2的晶格常数a和b减少,c变化不大,晶格体积减小;C掺杂后的β-FeSi2能带结构仍为准直接带隙,禁带宽度变窄,直接带隙与间接带隙的能量差值不变, C的掺杂消弱了Fe的3d态电子,费米能级附近的电子态密度主要由Fe的3d态电子贡献.光学性质的计算表明：与未掺杂时相比,介电函数的实部 减少,虚部 的峰值减少并向高能方向有一微小的偏移,吸收系数有所降低.计算结果为β-FeSi2光电材料的应用和设计提供了理论指导.     

C掺杂β-FeSi2的电子结构和光学特性研究

采用基于密度泛函理论的第一性原理赝势平面波方法,对C掺杂p-FeSi2的几何结构、能带结构、态密度和光学性质进行了理论计算.几何结构和电子结构的计算表明:C掺杂后使得β-FeSi2的晶格常数a和b减少,c变化不大,晶格体积减小;C掺杂后的 β-FeSi2能带结构仍为准直接带隙,禁带宽度变窄,直接带隙与间接带隙的能量差值不变,C的掺杂消弱了Fe的3d态电子,费米能级附近的电子态密度主要由Fe的3d态电子贡献.光学性质的计算表明:与未掺杂时相比,介电函数的实部ε1减少,虚部ε2的峰值减少并向高能方向有一微小的偏移,吸收系数有所降低.计算结果为β-FeSi2光电材料的应用和设计提供了理论指导.     

立方(Ba0.5Sr0.5)TiO3高压诱导带隙变化的第一性原理研究

采用基于密度泛函理论(DFT)的第一性原理计算研究了 (Ba_0.5Sr_0.5)TiO₃ (BST) 晶体在高压下的电子结构及能带变化行为. 研究结果发现,随着压强的增加,BST能带间隙先增加,在压强为55 GPa时达到最大值,然后减小,这些有趣的结果将有助于开发与设计新的BST铁电器件. 进一步地,通过电子态密度和密度分布图的研究分析可知:在低压区域(055 GPa),则是出现的离域现象占主导(电子的离域作用超过键态的作用),从而使带隙减小. 关键词： 钛酸锶钡 第一性原理 高压 能带间隙     

色八重态对高能π–p碰撞过程的贡献

利用QQ色八重态产生机制,计算并讨论了色八重态对高能π–p碰撞过程的贡献.发现,在大PT时,色八重态的贡献不可忽略,甚至超过色单态的贡献.计算结果与未来实验比较,可以检验色八重态产生机制及π介子中的胶子分布函数.     

7Li2分子2 3Σ+g激发态的解析势能函数、谐振频率及振动能级

使用Gaussian03程序包中的“对称性匹配簇/对称性匹配簇-组态相互作用”方法, 利用多个基组对⁷Li₂分子2³Σ⁺_g态的平衡几何进行了优化计算. 同时, 在优化得到的平衡位置附近、于同一条件下通过精细的单点能扫描, 获得了相应基组下的平衡核间距. 发现两者的结果不一致，对不一致的原因进行了解释. 分析表明，由单点能扫描得到的平衡核间距应更为合理. 同时也得出了6-311++G(3df,3pd)，6-311++G(2df,2pd) 及6-311++G(2df,pd)基组均为较优基组的结论.于2.5a₀—37a₀的范围内利用6-311++G(3df,3pd)基组进行单点能扫描并使用最小二乘法拟合出了该态的解析势能函数. 利用解析势能函数的物理意义并结合Rydberg-Klein-Rees方法, 计算出了其相应的谐振频率, 进而计算了其他光谱常数. 为便于比较和分析, 对基态也进行了相应的计算.利用得到的解析势能函数, 对2³Σ⁺_g态的振动能级及振动经典转折点也进行了计算. 关键词： 势能函数 谐振频率 振动能级 Murrell-Sorbie函数     

Use of supersymmetric isospectral formalism to realistic quantum many-body problems

We propose a novel mathematical approach for the calculation of resonances in weakly bound systems. For any potential, families of strictly isospectral potentials (with very different shape) having desirable and adjustable features can be generated. For systems having no bound ground state, an isospectral potential with a bound state in the continuum is possible. The quasi-bound state in the original shallow potential will be effectively trapped in the deep well of the isospectral family, facilitating more accurate calculation of resonance energy. Application to ⁶He, ⁶Li and ⁶Be yield excellent results. Another application is the calculation of Efimov states in weakly bound threebody system. We present the result of ⁴He trimer, where the first excited state is claimed to be an Efimov state.     

Fourier transform technique in variational treatment of two-electron parabolic quantum dot

In this work,we propose an efficient method of reducing the computational effort of variational calculation with a Hylleraas-like trial wavefunction.The method consists of introducing integral transforms for the terms as r k 12 exp (λr 12) which provide the calculation of the expectation value of energy and the relevant matrix elements to be done analytically over single-electron coordinates instead of Hylleraas coordinates.We have used this method to calculate the ground state energy of a two-electron system in a spherical dot and a disk-like quantum dot separately.Under parabolic confinement potential and within effective mass approximation size and shape effects of quantum dots on the ground state energy of two electrons have been investigated.The calculation shows that our results even with a small number of basis states are in good agreement with previous theoretical results.     

Supersymmetric Isospectral Formalism for the Calculation of Near-Zero Energy States: Application to the Very Weakly Bound 4He Trimer Excited State

We propose a novel mathematical approach for the calculation of near-zero energy states by solving potentials which are isospectral with the original one. For any potential, families of strictly isospectral potentials (with very different shape) having desirable and adjustable features are generated by supersymmetric isospectral formalism. The near-zero energy Efimov state in the original potential is effectively trapped in the deep well of the isospectral family and facilitates more accurate calculation of the Efimov state. Application to the first excited state in ⁴He trimer is presented.     

Electronic structure and magnetic properties of rare-earth perovskite gallates from first principles

The density functional calculation is performed for centrosymmetric(La–Pm) GaO_3 rare earth gallates, using a full potential linear augmented plane wave method with the LSDA and LSDA+U exchange correlation to treat highly correlated electrons due to the very localized 4f orbitals of rare earth elements, and explore the influence of U = 0.478 Ry on the magnetic phase stability and the densities of states. LSDA+U calculation shows that the ferromagnetic(FM) state of RGaO_3 is energetically more favorable than the anti-ferromagnetic(AFM) one, except for LaGaO_3 where the NM state is the lowest in energy. The energy band gaps of RGaO_3 are found to be in the range of 3.8–4.0 eV, indicating the semiconductor character with a large gap.     

Analysis of γ-ray production in neutral-current neutrino-oxygen interactions at energies above 200 MeV

It has long been recognized that the observation of γ rays originating from nuclear deexcitation can be exploited to identify neutral-current neutrino-nucleus interactions in water-Cherenkov detectors. We report the results of a calculation of the neutrino- and antineutrino-induced γ-ray production cross section for the oxygen target. Our analysis is focused on the kinematical region of neutrino energy larger than ～200 MeV, in which a single-nucleon knockout is known to be the dominant reaction mechanism. The numerical results have been obtained using for the first time a realistic model of the target spectral function, extensively tested against electron-nucleus scattering data. We find that at a neutrino energy of 600?MeV the fraction of neutral-current interactions leading to emission of γ?rays of energy larger than 6?MeV is ～41%, and that the contribution of the p_{3/2} state is overwhelming.     

The meson propagator in nuclear matter

We present a formal device for calculation of a meson propagator in infinite nuclear matter, through the calculation of the ground state energy of the system in the presence of external, static meson fields, using a pseudo-Hamiltonian simply related to the actual Hamiltonian. This approach is particularly well adapted for dealing with some effects that are not taken into account at all in multiple scattering approaches, for example, the effects of nuclear forces on the intermediate states which are involved in the meson-single-nucleon scattering. A theorem is proved about limiting conditions under which the charged pion propagator is independent of the nuclear forces. These conditions are nearly enough realized in π-nucleus scattering (sufficiently below the energy of the first resonance) so that we can evaluate the corrections perturbatively. The (virtually unknown) two-body force between the 3-3 resonance and nucleons is shown to be of considerable importance in determining the π-meson propagator.     

Ground-state and quenched-state properties of a one-dimensional interacting lattice gas in a random potential

We determine the zero-temperature properties of a one-dimensional lattice gas of particles that interact via a nearest neighbor exclusion potential and are subject to a random external field. The model is a special limiting case of the random field Ising chain. We calculate (1) the energy and density of the ground state as well as the local energy-density correlation and (2) the pair correlation function. The latter calculation gives access to all higher order correlations. The structure factor is shown to be a squared Lorentzian. We also compare the ground state to the quenched state obtained by sequentially filling the lowest available energy levels.     

Mixing of scalar meson and baryon-baryon interaction

At quark level,we study the effect of ideal mixing of singlet σ 0 and octet σ 8 scalar mesons on baryon-baryon interaction in the chiral SU(3) quark model.We solve the resonating group method equation for scattering process and bound state.The results show that the binding energy of deuteron and nucleonnucleon and hyperon-nucleon scattering data can be reasonably described for ideal mixing.Taking the same parameters we used in the scattering calculation,we further investigate the possible dibaryons and find the binding energy of (ΩΩ) ST =00 and (Ξ *Ω) ST =0 1 2 can be reduced a lot for ideal mixing.     

The first principle study on the electronic structure and spin ordering of the rare earth palladium sulfide, EuPd3S4

We have performed relativistic first-principles full-potential linearized augmented plane wave (FLAPW) calculation for rare earth palladium sulfide EuPd₃S₄ in the ferromagnetic and antiferromagnetic states. The density of 4f electrons of Eu is taken from a local-spin-density approximation self-interaction correction (LSDA-SIC) atomic calculation. EuPd₃S₄ is found to exhibit antiferromagnetic ordering in its ground state. The charge, orbital, magnetic moment and spin ordering are explained with the electronic structure, the orbital-projected density of states and the total energy study. EuPd₃S₄ is found to be stable in the body-centered Type-I antiferromagnetic state, in agreement with experimental results. Different Eu states are found in antiferromagnetic ordering. The magnetic moments of different states obtained through spin-polarized calculation are also in good agreement with experimental results. The phenomena observed are explained by the orbital hybridization of Eu and Pd ions as compared with the free ions.