Classical spin liquid properties of the infinite-component spin vector model on a fully frustrated two dimensional lattice

Thermodynamic quantities and correlation functions (CFs) of the classical antiferromagnet on the checkerboard lattice are studied for the exactly solvable infinite-component spin-vector model, D↦∞. In contrast to conventional two-dimensional magnets with continuous symmetry showing extended short-range order at distances smaller than the correlation length, r ξ _c∝ exp(T ^*/T), correlations in the checkerboard-lattice model decay already at the scale of the lattice spacing due to the strong degeneracy of the ground state characterized by a macroscopic number of strongly fluctuating local degrees of freedom. At low temperatures, spin CFs decay as < >∝ 1/r ² in the range a ₀≪r≪ξ _c∝T ^-1/2, where a₀ is the lattice spacing. Analytical results for the principal thermodynamic quantities in our model are very similar with MC simulations, exact and analytical results for the classical Heisenberg model (D = 3) on the pyrochlore lattice. This shows that the ground state of the infinite-component spin vector model on the checkerboard lattice is a classical spin liquid. Received 16 November 2001 and Received in final form 12 February 2002     

Variational approach to spin fluctuations in the Hubbard model

We study a one parameter variational wave function to improve the spin density wave ground state of the Hubbard model by inclusion of quantum spin fluctuations. Using a perturbative approach and novel lattice summation techniques we present analytical as well as numerical results for the correlation energies and the staggered magnetizations in one and two dimensions. We find ground state energies which are satisfyingly close to known exact results and are significantly lower than those of existing Gutzwiller and numerical treatments.     

Quantum fluctuations and ground state of weakly interacting helix spin chains in a magnetic field

Ferromagnetic spin chains of a hexagonal lattice coupled by a weak antiferromagnetic interaction J₁ develop a helix arrangement if the intrachain antiferromagnetic NNN exchange J₂ is sufficiently large. We show that the classical minimum energy spin configuration is an umbrella when an external magnetic field is applied. The scenario is dramatically changed by quantum fluctuations. Indeed we find that the zero point motion forces the spins in a plane containing the magnetic field so that classical expectation is deceptive for our model. Our result is obtained by controlled expansion in the low field-long wavelength modulation limit. Received: 9 September 1997 / Revised: 15 October 1997 / Accepted: 17 November 1997     

The spin-1/2 anisotropic Heisenberg-chain in longitudinal aaand transversal magnetic fields: a DMRG study

Using the density matrix renormalization group technique, we evaluate the low-energy spectrum (ground state and first excited states) of the anisotropic antiferromagnetic spin-one-half chain under magnetic fields. We study both homogeneous longitudinal and transversal fields as well as the influence of a transversal staggered field on the opening of a spin-gap. We find that only a staggered transversal field opens a substantial gap. Received 16 April 2002 / Received in final form 4 July 2002 Published online 17 September 2002     

Application of the P.E.M. theory to solid electrolyte pressed powder pellets: Electrically isotropic solid electrolyte particles

The a.c. electrical response of an electrically isotropic solid electrolyte pressed powder pellet, has been calculated using the Percolation Effective Medium Theory (P.E.M.T.) approximation. The pressed powder pellet is represented by a mixture of a conducting phase (solid electrolyte) and an isolation one (air). The physical meaning of the derived results is discussed in reference to a real solid electrolyte pellet response. The pellet response calculated by the P.E.M.T. equation should correspond to the usual ‘bulk’ one. The influence of the microstructure on the pellet response, derived from the model, can be used to improve the ‘bulk’ ionic conductivity, in pressed powder pellets of solid electrolytes with isotropic conductivity, and to obtain its real electrical characteristics.     

Inelastic form factors to alpha-particle condensate states in 12C and 16O: What can we learn?

In order to discuss the spatial extention of the 0₂ ⁺-state of ¹²C (Hoyle state), we analyze the inelastic form factor of electron scattering to the Hoyle state, which our 3α-condensate wave function reproduces very well like previous 3α RGM/GCM models. The analysis is made by varying the size of the Hoyle state artificially. As a result, we find that only the maximum value of the form factor sensitively depends on its size, while the positions of maximum and minimum are almost unchanged. This size dependence is found to come from a characteristic feature of the transition density from the ground state to the Hoyle state. We further show the theoretical predictions of the inelastic form factor to the 2₂ ⁺-state of ¹²C, which was recently observed above the Hoyle state, and of the inelastic form factor to the calculated 0₃ ⁺-state of ¹⁶O, which was conjectured to correspond to the 4α condensed state in previous theoretical work by the present authors.     

CNG发动机火核形成和发展的三维数值模拟研究

本文利用三维燃烧模型对CNG发动机的燃烧过程进行数值模拟,研究过量空气系数的循环变动对CNG发动机火核形成和发展及燃烧各阶段的影响。研究结果显示,过量空气系数的变动对初始火核参数的影响非常小,对燃烧过程三个阶段的影响程度也不同。主燃烧阶段受过量空气系数的变动的影响最大,火核形成和发展阶段受过量空气系数的变动的影响很小。过量空气系数的变动不是火核形成和发展产生变动的主要原因。     

基于有向图的管线网GIS一体化数据模型

针对城市管线网GIS领域特色，引入图论代数相关理论、改进GIS现有网络结构模型组织与表达，提出城市管线网GIS一体化空间数据模型，并实现该模型支持下的强大的地理计算和空间分析功能，最后在“数字城市”管线网GIS共享集成平台和专业管线GIS系统中实现了模型的功能应用。     

Derivative evaluation and computational experience with large bilevel mathematical programs

A bilevel program is a mathematical program involving functions defined implicitly as solutions to another mathematical program. We discuss a method for extracting derivative information on the implicit function, which is especially efficient when the lower-level problem has simple bounds on the variables and/or many inactive constraints. Computational experience on problems with up to 230 variables and 30 constraints is presented.Computational support from Robert Bivins and Myron Stein is gratefully acknowledged. We have also appreciated comments from Jon Bard and an anonymous referee. This work was supported in part by the US Department of Energy through the Los Alamos National Laboratory.     

Rotational structures in the 125Cs nucleus

The collective band structures of the ¹²⁵Cs nucleus have been investigated by in-beam γ-ray spectroscopic techniques following the ¹¹⁰Pd ( ¹⁹F, 4n) reaction at 75MeV. The previously known level scheme, with rotational bands built on πg_7/2, πg_9/2 and πh_11/2 orbitals, has been extended and evolves into bands involving rotationally aligned ν(h_11/2)² and π(h_11/2)² quasiparticles. A strongly coupled band has been reassigned a high-K πh_11/2 ⊗ νg_7/2 ⊗ νh_11/2 three-quasiparticle configuration and a new side band likely to be its chiral partner has been identified. Configurations assigned to various bands are discussed in the framework of Principal/Tilted Axis Cranking (PAC/TAC) model calculations.