Antiferromagnetic ordering in magnetic ionic liquid Emim[FeCl4]

The magnetic ionic liquids (MILs) are considered to open up a wide range of applications because of their magnetic and electrochromic switching. Until recently almost all magnetic ionic liquids containing tetrachloroferrate ion FeCl₄⁻ evidenced a paramagnetic temperature dependence of the magnetic susceptibility, with only small deviations from the Curie law at low temperatures. However, 1-ethyl-3-methylimidazolium tetrachloroferrate, Emim[FeCl₄], clearly exhibits a long-range antiferromagnetic ordering below the Neel temperature T_N≈3.8 K. In addition, the shape of the magnetic ordering depends on the cooling speed, indicating that the magnetic coupling could be modified.     

On the scaling theory of antiferromagnetic ordering in frustrated Kondo lattices

A scaling theory of the Kondo lattices with frustrated exchange interactions is developed, criterium of antiferromagnetic ordering being investigated. Depending on the bare model parameters, one or two quantum phase transitions into non-magnetic spin-liquid and Kondo Fermi-liquid ground states can occur with increasing the bare coupling constant. Whereas the renormalization of the magnetic moment in the ordered phase can reach orders of magnitude, spin fluctuation frequency and coupling constant are moderately renormalized in the spin-liquid phase. This justifies application of the scaling approach.     

Ordering kinetics in quasi-one-dimensional Ising-like systems

We present results of a Monte Carlo simulation of the kinetics of ordering in the two-dimensional nearest-neighbor Ising model in anL xM geometry with two free boundaries of length ML. This model can be viewed as representing an adsorbant on a stepped surface with mean terrace widthL. We follow the ordering kinetics after quenches to temperatures 0.25 T/T_c 1 starting from a random initial configuration at a coverage of=0.5 in the corresponding lattice gas picture. The systems evolve in time according to a Glauber kinetics with nonconserved order parameter. The equilibrium structure is given by a one-dimensional sequence of ordered domains. The ordering process evolves from a short initial two-dimensional ordering process through a crossover region to a quasi-one-dimensional behavior. The whole process is diffusive (inverse half-width of the structure factor peak 1/q_{¦¦ t}), in contrast to a model proposed by Kawasakiet al., where an intermediate logarithmic growth law is expected. All results are completely describable in the picture of an annihilating random walk (ARW) of domain walls.     

KCrF3中的轨道有序及其成因

强关联体系中的轨道有序及其成因一直是凝聚态物理研究的热点问题.轨道有序对于巨磁阻和 超导材料的研究有非常重要的地位.利用第一性原理计算研究了KCrF₃的四方相和立方相中的轨道有序 及其成因.在四方相中, GGA和GGA+U两种方法计算结果都表明其基态是A型反铁磁和G型轨道有序. 对于立方结构, GGA方法得出铁磁半金属态是基态,而GGA+U(U_eff = 3.0 eV)得到的基态是A型 反铁磁绝缘体. 光电导测量是少数能从实验上观察到轨道有序的方法之一,因此计算了其光电导,并结合投影态密度讨论 了KCrF₃中的轨道有序.最后找到了其轨道有序的成因:电子强关联效应,而非电-声子相互作用是其 轨道 有序的物理根源.     

Effects of anharmonic lattice distortion on orbital and magnetic orderings in KCuF3

Lattice, magnetic and orbital structures in KCuF3 are self-consistently determined by our cluster self-consistent field approach based on a spin-orbital-lattice Hamiltonian. Two stable structures are obtained and found to be degenerate, which confirms the presence of the coexistent phases observed experimentally. We clearly show that due to the inherent frustration, the ground state of the system only with the superexchange interaction is degenerate; while the Jahn-Teller distortion, especially the anharmonic effect, stabilizes the orbital ordered phase at about 23% in the x2-y2 orbit and at 77% in the 3z2-r2 orbit. Meanwhile the magnetic moment of Cu is considerably reduced to 0.56μB, and magnetic coupling strengths are highly anisotropic, Jz/Jxy ≈ 18. These results are in good agreement with the experiments, implying that the anharmonic Jahn-Teller effect plays an essential role in stabilising the orbital ordered ground state of KCuF3.     

经典函数与量子算符的Weyl对应

提出了通过定义一种算符编序来处理含有不对易因子的积分的思想,研究了经典函数与量子算符的Weyl对应问题,得到了计算简捷的Weyl对应规则之数学显式,并给出了一种证明量子力学表象完备性关系的新方法.以实例支持了Weyl对应规则的正确性,说明了Weyl对应规则理论是自洽的.     

Predicting link directions via a recursive subgraph-based ranking

Link directions are essential to the functionality of networks and their prediction is helpful toward a better knowledge of directed networks from incomplete real-world data. We study the problem of predicting the directions of some links by using the existence and directions of the rest of links. We propose a solution by first ranking nodes in a specific order and then predicting each link as stemming from a lower-ranked node and pointing toward a higher-ranked one. The proposed ranking method works recursively by utilizing local indicators on multiple scales, each corresponding to a subgraph extracted from the original network. Experiments on real networks show that the directions of a substantial fraction of links can be correctly recovered by our method, which outperforms either purely local or global methods.     

Low-temperature phases of itinerant fermions interacting with classical phonons: The static Holstein model

We consider models of independent itinerant fermions interacting with classical continuous or discrete variables (spins), the static Holstein model being a special case. We prove for all values of the fermion-spin coupling and a special value of the fermion chemical potential and classical magnetic field, at which the average fermion density is one-half and the average total spin is zero, that there are two degenerate ground states of period two with antiferromagnetic order for the spins and fermions. The existence of two corresponding low-temperature phases is proven for large coupling and dimension two or more by using a Peierls argument. This generalizes results of Kennedy and Lieb for the Falicov-Kimball model.Dedicated to Philippe Choquard on the occasion of his 65th birthday.     

三元合金Ga_(0.52)In_(0.48)P的喇曼散射谱

采用室温下微区Raman散射方法 ,观测到了GaInP2 的LO双模行为和禁戒的TO模 ,由于晶格有序导致晶体对称性从Td 降低为C3v,从而使禁戒的TO模变为Raman活性。在所有的样品中都观测到了由晶格无序激活的DALA模。在有序样品中 ,除观测到了二级Raman散射峰LO1+LO2 以外 ,还观测到了由超晶格效应所导致的FLA折叠模和LO模的分裂。对LO模峰谷比b/a的分析表明 ,随着晶格有序度的增加 ,b/a值减小。这是因为 :一方面主要是由于禁戒的TO模变为Raman活性所引起的 ,另一方面 ,还可能有LO1模和LO2 模分裂的贡献。在实验上 ,可以用b/a值或FLA的强度来表示样品的有序度。     

势模型中排序问题的初步研究

由动量空间计算得到的夸克和反夸克之间的散射振幅推导坐标空间等效势时,总要出现算符排序问题,这是一个量子力学中长期存在而又未能得到很好解决的重要问题.以重夸克偶素中常用的Cornell势为例,重新进行了研究,给出了一些初步的结果.指出即使考虑了厄米性的要求,各种排序方案仍然会导致有很大差别的数值结果,会严重影响谱的拟合精度.对这些结果的意义及其相关问题作了一些讨论.