We study ultracold bosonic atoms with the synthetic three-dimensional spin-orbit (SO) coupling in a cubic optical lattice. In the superfluidity phase, the lowest energy band exhibits one, two or four pairs of degenerate single-particle ground states depending on the SO-coupling strengths, which can give rise to the condensate states with spin-stripes for the weak atomic interactions. In the deep Mott-insulator regime, the effective spin Hamiltonian of the system combines three-dimensional Heisenberg exchange interactions, anisotropy interactions, and Dzyaloshinskii-Moriya interactions. Based on Monte Carlo simulations, we numerically demonstrate that the resulting Hamiltonian with an additional Zeeman field has a rich phase diagram with spiral, stripe, vortex crystal, and especially Skyrmion crystal spin-textures in each xy-plane layer. The obtained Skyrmion crystals can be tunable with square and hexagonal symmetries in a columnar manner along the z axis, and moreover are stable against the inter-layer spin-spin interactions in a large parameter region.

Asymmetric reversible diode-like resistive switching behaviors in ferroelectric BaTiO 3 3 3 thin films *Zhang Fei(张 飞) a) , Lin Yuan-Bin(林远彬) a) , Wu Hao(吴 昊) a) , Miao Qing(苗 青) a) , Gong Ji-Jun(巩纪军) a) , Chen Ji-Pei(陈继培) a) , Wu Su-Juan(吴素娟) a) , Zeng Min(曾 敏) a) , Gao Xing-Sen(高兴森) a) † , and Liu Jun-Ming(刘俊明) b) ‡

The detailed mechanism and the origin of the ligand-controlled regioselectivity in the cobalt catalyzed hydroboration of 2-substituted 1,3-diene have been investigated.

DFT calculation indicates that in iridium catalyzed C–H borylation of aromatics, the ortho selectivity is proposed to be attributed to the electron donating effect of AQ ligand, while the meta selectivity is due to steric hindrance of TMP ligand.

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