齐次平衡法寻找广义Caudrey-Dodd-Gibbon-Kaeada方程的多孤子解

利用齐次平衡法寻找Hirota变换,再通过Hirota变换将方程转化为Hirota双线性形式,进一步解释两种方法之间的联系,并得出将一些方程转化为Hirota双线性形式的一般步骤.     

Interplay of iron and rare-earth magnetic order in rare-earth iron pnictide superconductors under magnetic field

The magnetic properties of iron pnictide superconductors with magnetic rare-earth ions under strong magnetic field are investigated based on the cluster self-consistent field method. Starting from an effective Heisenberg model, we present the evolution of magnetic structures on magnetic field in RFeAsO(R = Ce, Pr, Nd, Sm, Gd, and Tb) and RFe_2As_2(R =Eu) compounds. It is found that spin-flop transition occurs in both rare-earth and iron layers under magnetic field, in good agreement with the experimental results. The interplay between rare-earth and iron spins plays a key role in the magneticfield-driven magnetic phase transition, which suggests that the rare-earth layers can modulate the magnetic behaviors of iron layers. In addition, the factors that affect the critical magnetic field for spin-flop transition are also discussed.     

Ferromagnetism in Layered Metallic Fei/4TaS2 in the Presence of Conventional and Dirac Carriers

We present the microscopic origin of the ferromagnetism of Feo.25TaS2 and its finite-temperature magnetic properties.The band structures of Feo.25TaS2 are first obtained by the first-principles calculations and it is found that both conventional and Dirac carriers coexist in metallic Feo.25TaS2-Accordingly,considering the spin-orbit coupling of Fe 3d ion,we derive an effective Ruderman-Kittle-Kasuya-Yosida-type Hamiltonian between Fe spins in the presence of both the conventional parabolic-dispersion and the Dirac linear-dispersion carriers,which contains a Heisenberg-like,an Ising-like and an XY-like term.In addition,we obtain the ferromagnetic Curie temperature Tc by using the cluster self-consistent Held method.Our results could address not only the high ferromagnetic Curie temperature but also the large magnetic anisotropy in Fex TaS2.     

正则环的内射理想

设R为正则环, A∈ M_n(R). 如果M_n(R)AM_n(R)为M_n(R) 的内射理想,该文证明了有U, V∈ GL_n(R)使得UAV为对角矩阵.     

多轨道Hubbard模型的隶玻色子数值算法研究

通过综合模式搜索法、广义Lagrange乘子法、以及转轴法等多种数值方法, 建立了一套针对多轨道Hubbard模型隶玻色子解法的数值优化方法. 该数值方法能够在考虑晶场劈裂、轨道间跳跃以及真实能带结构基础上, 利用隶玻色子方法计算实际关联电子材料的性质. 首先利用该方法计算了两轨道体系的Mott金属-绝缘体转变性质, 得到了与目前已有工作一致的结果; 然后利用该方法讨论了Coulomb关联对三轨道体系Na_xCoO₂的影响. 结果表明: 在中间关联情况下由e_g^'轨道形成的六个小Fermi面消失, 原因是由于电子关联导致该轨道上的空穴数随U减少. 这些结果也证实了算法的正确性和有效性. 关键词： 多轨道Hubbard模型 隶玻色子 Mott转变 xCoO₂')" href="#">Na_xCoO₂     

正则QB环上的Morita Contexts

假设T是Morita Contexts(A,B,M,N,φ,φ)的环,如果A和B是正则QB环,本文证明了T中任何元素都是幂等元和伪逆元之和.     

纳米TiO_(2)光催化抗菌应用的研究进展北大核心CSCD

光催化纳米TiO_(2)以其出色的光催化、化学稳定性以及广谱抗菌性受到科研人员的青睐。然而,其存在的一些问题,如宽带隙、高过电位和光生载流子快速复合等限制了其光催化性能。本文综述了近年来TiO_(2)光催化在抗菌方面的研究进展。对纳米TiO_(2)光催化抗菌作用机理进行了探讨,并讨论了提高TiO_(2)光催化抗菌活性的几种策略,包括进行纳米TiO_(2)结构设计、光的调控、掺杂金属离子、掺杂非金属离子、贵金属修饰和偶联其他材料。改性TiO_(2)光催化剂显著抑制了细菌细胞的生长,在生物医学工程领域具有独特的应用前景。     

炭负载Pd/Ce双金属催化剂对Heck反应的催化性能

通过简便的方法制备了炭负载Pd/Ce双金属催化剂,利用Pd/Ce双金属催化剂的协同效应提高催化剂对Heck反应的催化效率。 以碘苯与丙烯酸的Heck芳基化反应为模型反应,研究了反应条件对催化剂催化性能的影响。 结果显示,在反应温度为130 ℃,反应时间为5 h,N,N-二甲基甲酰胺(DMF)作为溶剂和三丁胺(Bu₃N)作为碱的条件下,炭负载Pd/Ce双金属催化剂对丙烯酸和碘苯的Heck芳基化反应具有良好的催化性能,产率达到70%以上。 另外,该催化剂属于非均相催化剂,催化剂易与反应溶液分离;也可以重复利用,使用3次反应产率仍达到66.9%,显示了炭负载Pd/Ce双金属催化剂良好的催化活性。     

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.     

Transverse Writing of Multimode Interference Waveguides inside Silica Glass by Femtosecond Laser Pulses

Multi-mode interference waveguides are fabricated inside silica glass by transverse writing geometry with femtosecond laser pulses. The influences of several writing and reading factors on the output mode are systematically studied. The experimental results of straight waveguides are in good agreement with the simulations by the beam propagation method. By integrating a straight waveguide with a bent waveguide, a 1× 2 multi-mode splitter is formed and 2×3 lobes are observed in the output mode.