Hubbard模型的局域方法近似

本文基于同一格点的电子相关和最近邻格点间的电荷相关及自旋相关,把局域方法的级数展开用于Hubbard模型。和通常的二阶计算不同,我们在计算中保留了项。比较这两种不同计算方法所得到的结果,发现在U较大时,项对顺磁相的相关能、基态能量、局域磁矩和由局域磁矩引起的反铁磁极化均有不可忽略的修正。要准确计及电子相关效应,还需通过作更高阶展开,以考察级数的收敛性。 关键词：     

3d系列 (TM)4 团簇的结构和磁性

基于第一性原理，在密度泛函理论下，用局域自旋密度近似(LSDA)和广义梯度近似(GGA)对(TM)₄团簇的所有几何构型进行优化、能量、频率和磁性计算.确定出3d系列(TM)₄团簇的基态构型，对其磁性、结合能和平均原子间距作了系统的研究，得出在3d系列(TM)₄团簇中，Mn₄的局域磁矩最大，V₄的局域磁矩最小，并且除Cr₄在LSDA和GGA均为反铁磁性耦合及GGA下的V_{关键词： 4}团簇')" href="#">(TM)₄团簇 基态构型 结合能 局域磁矩 平均原子间距     

YnN(n=2-12)团簇的结构与性质研究

在密度泛函理论框架下,用广义梯度近似（GGA）的方法研究YnN（n=2-12）团簇的电子结构,系统计算了它们的基态束缚能Be（eV）、最高占据轨道（HOMO）与最低未占据轨道（LUMO）之间的能隙、二阶能量差分 (au)、离解能 (au)、团簇的总磁矩Mt（ ）,最近邻N原子的Y原子所带的局域电荷QY（C）和磁矩MY（ ）、掺杂原子N所带的局域电荷QN（C）和磁矩MN（ ）。研究表明,Y6N、Y8N、Y10N的基态具有较高稳定性;对于YnN（n=2-12）的所有团簇,电荷总是由Y原子转移到N原子,YnN（n=2-12）团簇中Y—N表现为离子键的性质;当n=3,4,5,9,10,11,12时,团簇的磁矩为零,团簇的磁性消失,当n=2,6,7,8时,团簇具有磁性,其中n=6时,团簇的磁性最强。     

扩展Hubbard模型的局域方法近似

本文把局域方法用于扩展Hubbard模型。在二阶近似下,计算了顺磁相的相关能、局域磁矩和由局域磁矩引起的极化。结果表明,尽管W不同,极化却总是反铁磁极化。当n=1,U较大时,相关能随W增加而变大。对给定的n和U,局域磁矩和反铁磁极化随W增加而变小,然而当n=1,U较大时或n较小时,W对二者影响不明显。 关键词：     

密度泛函理论研究Bn Ni(n=6-12)团簇的结构和磁性

基于第一性原理,用密度泛函理论中的广义梯度近似(generalized gradient approximation,GGA)方法,在充分考虑自旋多重度的前提下,优化并得到了Bn(n=6一12)和BnNi(n=6-12)团簇的平衡构型,按照能量最低原理确定其基态结构.Bn团簇的计算结果与已有的理论结果相一致.当Ni原子掺杂在Bn团簇中,B12Ni团簇的基态结构为平面结构,其余均为三维结构.基态结构的自旋多重度除了n=8以外呈现2,l交替的规律.计算团簇基态结构的平均结合能(Eb)、团簇能量的二阶差分(△2 E)和能隙(HOMO.I.UMO,gap)均表明,l=8为B.Ni(,l=6一12)团簇的幻数,即B8Ni团簇较相邻团簇稳定.计算团簇的磁矩表明B8Ni团簇磁矩最大(2цB),团簇总磁矩和平均磁矩随团簇尺寸增大呈现奇偶振荡趋势且磁矩主要由Ni原子的3d轨道提供.     

密度泛函理论研究ZrnCo(m=1-13)团簇的结构和磁性

利用密度泛函理论中的广义梯度近似对ZrnCo(n=1-13)团簇进行了结构优化、能量和频率的计算,研究了ZrnCo团簇的平衡几何结构、稳定性、电子性质和磁性.结果表明:Zr4Co,Zr7Co,Zr9Co和Zr12Co团簇的基态稳定性较高,是幻数团簇,尤其是Zr12Co团簇基态为Ih对称性的二十面体结构且稳定性特别高.ZrnCo团簇的磁矩随尺寸的变化可以分三个阶段:n=1-3有稳定的磁矩,从n=4开始磁矩出现振荡性的猝灭,直至n≥8磁矩完全猝灭.体系的磁矩主要来自局域d电子的贡献,ZrnCo团簇磁矩发生猝灭的主要原因是电荷转移和强烈的spd杂化效应.同时发现,过渡金属掺杂在不同特性材料中所形成的团簇体系,其结构、稳定性和磁性有些非常有意思的相似,如TMX12(TM代表过渡金属Fe或Co,X代表Si和Be)团簇、Zr13TM团簇.对此,值得进一步研究.     

FeBN (N≤3)团簇的结构与磁性

基于第一性原理,利用密度泛函理论中的广义梯度近似(GGA)对FeBN(N≤3)团簇进行了结构优化、能量和频率的计算,得到了FeBN(N≤3)团簇在不同自旋多重度下的平衡结构并确定了团簇的基态构型.结果表明,FeBN(N≤3)基态团簇的自旋多重度分别为4、3、2.我们对FeBN基态团簇的磁性做了系统的研究,得出了Fe原子磁矩和团簇总磁矩随团簇尺寸增大而减小的结论.     

YnN(n=2-12)团簇的结构与性质研究

在密度泛函理论框架下，用广义梯度近似（GGA）的方法研究YnN（n=2-12）团簇的电子结构，系统计算了它们的基态束缚能Be（eV）、最高占据轨道（HOMO）与最低未占据轨道（LUMO）之间的能隙、二阶能量差分 (au)、离解能 (au)、团簇的总磁矩Mt（ ），最近邻N原子的Y原子所带的局域电荷QY（C）和磁矩MY（ ）、掺杂原子N所带的局域电荷QN（C）和磁矩MN（ ）。研究表明，Y6N、Y8N、Y10N的基态具有较高稳定性；对于YnN（n=2-12）的所有团簇，电荷总是由Y原子转移到N原子，YnN（n=2-12）团簇中Y—N表现为离子键的性质；当n=3，4，5，9，10，11，12时，团簇的磁矩为零，团簇的磁性消失，当n=2，6，7，8时，团簇具有磁性，其中n=6时，团簇的磁性最强。     

Cu13团簇几何和电子结构的密度泛函研究

利用遗传算法结合Gupta原子间相互作用势,采用密度泛函理论,系统研究了带电 团簇的基态与低激发态的几何结构和电子结构并与中性Cu13团簇进行了对比．计算结果表明：对 Cu13（中性及带电）团簇,高对称性几何构型在众多异构中无能量竞争性优势,团簇基态结构皆为非紧致低对称性结构,对 负电Cu13找到一种新的低对称性最低能结构;带电明显影响团簇结构稳定性,带电Cu13团簇与中性Cu13团簇的结构稳定性序列显著不同;基态 Cu13（中性及带电）团簇的具有磁矩最小化效应,而其高对称性结构则有较大磁矩;计算所得Cu13团簇电离能及电子亲和势与实验结果相符．     

重费米子化合物LiV2O4电子结构的第一性原理研究

用第一性性原理的FP-LMTO能带计算方法研究了重费米子化合物LiV2O4的电子结构。结果表明：费米面附近的导带是由V原子的3d电子形成的宽度为2.5eV的窄能带,是3d态在立方晶体场中具有t2g对称性的子带;它与O的2p轨道构成的能带有近1.9eV的能隙。计算得出的费米能处电子态密度和线性电子比热系数分别是11.1states/eV f.u.和26.7mJ/molK^2。费米面处的能带色散具有电子型和空穴型和空穴型两种,呈现出一种复杂的费米面结构。LSDA以及LDA+GGA计算表明,LiV2O4有一个磁矩为每个钒原子1.13μB,总能比LDA基态低约148meV/f.u.的铁磁性基态。由目前的能带结构计算的结构无法确定这一类Kondo体系的局域磁矩的来源,表明这一化合物中的重费米子行为可能有别于在含有4f和5f稀土的重费米子合金中观察到的局域磁矩与传导电子的交换作用机制,其中存在量子相变的可能。     

Antiferromagnetism and correlation of electrons in a one-band Hubbard model

The effect of electron correlations on the antiferromagnetic ground state of the oneband Hubbard model is examined. The ground state is found analytically for a rectangular density of states. The region of ordered states is reduced as compared with the mean-field results due to formation of local moments and suppression of charge fluctuations with increasing Coulomb interaction between electrons. Local moments present in the paramagnetic phase have almost the same values as those existing in the antiferromagnetic one. For a half-filled band antiferromagnetism is not destroyed by correlation effects in the limit of weak interactions.On leave of absence from the Institute of Physics, Jagellonian University, Cracow, Poland     

Ground state correlations and the nuclear charge distribution

Combining a sum rule approach and the generator coordinate model we evaluate the influence of ground state correlations on the moments of the radial charge distribution. The isotopic and isotonic differences of the moments come out to be particularly sensitive to fluctuations of the ground state correlations due to changes in the low energy spectrum. A comparison with the experimental results for the isotopes of Ca, Fe, Ni and Zn shows a fair agreement and confirms the importance of the ground state correlations for isotopic and isotonic differences of radial moments.     

Generalized Bertlmann-Martin inequalities and power-law potentials

In the three-dimensional Schrödinger equation, the generalized Bertlmann-Martin inequalities connect the moments of the ground state density to the energy differences between the lowest level of each angular momentum ? and the ground state. They are discussed in the case of the power-law potentials, as well as the lnr potential. Use is made of the derived moments to reconstruct the form factor F(q), i.e., the Fourier transform of the ground state density. Padé approximants are used to describe the high q behavior of the form factor when only a limited number of low order moments are known. The estimate of the ground state density at the origin is also discussed.     

Low-frequency spin dynamics in the CeMIn5 materials

We measure the spin lattice relaxation of the planar In(1) nuclei in the CeMIn5 materials, extract quantitative information about the low energy spin dynamics of the lattice of Ce moments in both CeRhIn5 and CeCoIn5, and identify a crossover in the normal state. Above a temperature T(*) the Ce lattice exhibits "Kondo gas" behavior characterized by local fluctuations of independently screened moments; below T(*) both systems exhibit a "Kondo liquid" regime in which interactions between the local moments contribute to the spin dynamics. Both the antiferromagnetic and superconducting ground states in these systems emerge from the Kondo liquid regime. Our analysis provides strong evidence for quantum criticality in CeCoIn5.     

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.     

Multiexciton molecules in the hexaborides

We investigate multiexciton bound states in a semiconducting phase of divalent hexaborides. Due to three degenerate valleys in both the conduction and valence bands the binding energy of a 6-exciton molecule is greatly enhanced by the shell effect. The ground state energies of multiexciton molecules are calculated using the density functional formalism. We also show that charged impurities stabilize multiexciton complexes leading to condensation of localized excitons. These complexes can act as nucleation centers of local moments. Received 24 October 2000     

Enhanced superconductivity by correlations between two Kondo impurities

We study the interplay between magnetic correlations of two Kondo impurities and superconducting singlet pairing. Performing a Schrieffer-Wolff transformation in the zero-bandwidth limit of the two-impurity Anderson model we obtain the Hamiltonian of two magnetic impurities and we add a superconducting term to the conduction electrons. The model allows us to study the effect of the magnetic correlation between the impurities on the superconducting ground state. At zero temperature, different superconducting ground states can be obtained depending on the magnitude of magnetic coupling between S₁ and S₂. For increasing coupling, the superconducting region is enlarged showing an interesting result: in the strong coupling limit, where the impurities are in a very strong ferromagnetic correlation state, half of the conduction electrons are decoupled from the local moments of the impurities and take advantage of the superconducting pairing lowering the ground state energy. On the contrary, when the coupling between S₁and S₂ decreases, the scenario of the two independent Kondo impurities in presence of superconductivity emerges and all the conduction electrons are involved in the pair breaking physics. At finite temperature, we obtain the phase diagram and we observe a region of parameters where the re-entrance phenomenon occurs.     

Rotational Diffusion and Solvatochromic Correlation of Coumarin 6 Laser Dye

Rotational diffusion of coumarin 6 (C6) laser dye has been examined in n-decane and methanol as a function of temperature. The rotational reorientation of this probe has been measured in these solvents. It is observed that the decrease in viscosity of the solution is responsible for the decrease in the rotational relaxation time of the probe molecule. The molecule C6 has long reorientation times in n-decane solvent as compared to methanol over all temperatures. It is found that the coumarin 6 rotates slower in n-decane than in methanol especially at higher values of viscosity over temperature. Two methods are chosen to determine the ground state and excited state dipole moments. The change in dipole moments is estimated from Bakhshiev-Chamma-Viallet equations and, the ground and excited state dipole moments from Kawski et al. equations, by using the variations of the Stokes shifts with the dielectric constant and refractive index of the solvent. Our results are quite reliable which are solvatochromic correlation obtained using solvent polarity functions. The reported results show that excited state dipole moment is greater than ground state dipole moment, which indicates that the excited state is more polar than the ground state.