We report the observation of the skyrmion lattice in the chiral multiferroic insulator Cu2OSeO3 using Cu L3-edge resonant soft x-ray diffraction. We observe the unexpected existence of two distinct skyrmion sublattices that arise from inequivalent Cu sites with chemically identical coordination numbers but different magnetically active orbitals. The skyrmion sublattices are rotated with respect to each other implying a long wavelength modulation of the lattice. The modulation vector could be controlled with an applied magnetic field, associating this Moire-like phase with a continuous phase transition. Our findings will open a new class of science involving manipulation of quantum topological states.
Frustration-driven topological textures on the honeycomb lattice: antiferromagnetic meron-antimeron and skyrmion crystals emerging from spiral spin liquids
Quantum skyrmions in the antiferromagnetic triangular lattice
Instituto de Física La Plata (CONICET-UNLP)（拉普拉塔物理研究所）；Departamento de Ciencias Básicas, Facultad de Ingeniería, Universidad Nacional de La Plata (UNLP)（拉普拉塔国立大学工程学院基础科学系）；Universidad Nacional de Hurlingham (UNAHUR), Laboratorio de Investigación y Desarrollo Experimental en Computación (LIDEC)（乌尔林汉姆国立大学）；Instituto de Física de Líquidos y Sistemas Biológicos (CONICET-UNLP)（液体与生物系统物理研究所）
Beyond-adiabatic flat Chern bands from a double-helix skyrmion crystal
College of Physics Science and Technology, Yangzhou University（扬州大学物理科学与技术学院）；Lanzhou Center for Theoretical Physics, Lanzhou University（兰州大学理论物理中心）；Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University（教育部量子理论与应用重点实验室，兰州大学）；School of Mathematics and Physics, Southwest University of Science and Technology（西南科技大学数学与物理学院）；College of Physics, Nanjing University of Aeronautics and Astronautics（南京航空航天大学物理学院）；Department of Physics, Southern University of Science and Technology（南方科技大学物理系）
Nature of an intermediate non-Fermi liquid state in Ge-substituted YbRh$_{2}$Si$_{2}$: Fermionized skyrmions, Lifshitz transition, Skyrmion liquid, and Gruneisen ratio
Microscopic theory of electric polarization induced by skyrmionic order in GaV$_{4}$S$_{8}$
空隙尖晶石GaV $_{4}$ S $_{8}$最近被认为是具有与磁序耦合的相当大的极化$\boldsymbol{P}$的Skyrmion晶格态的原型多铁性材料。我们在微观层面上解释了这一现象。在密度泛函理论的基础上，我们构造了一个描述（V $_{4}$ S $_{4}$）$^{5+}$团簇分子轨道形成的弱耦合晶格中磁活性电子行为的有效模型.应用超交换理论和Berry相理论，导出了磁键中能量和极化变化与自旋方向的关系模型.我们认为，虽然每个skyrmion层主要是由超交换相互作用在同一平面上形成的，自旋依赖的$\boldsymbol{P}$产生的堆叠错位，这些平面在垂直方向上，这是固有的空隙尖晶石结构。我们预测各向同性，PDMATHAMR，反对称，$\sim \boldsymbol{e}_{i} \times \boldsymbol{e}_{j}$，贡献$\boldsymbol{P}$，解释实验观察到的效果的强烈竞争。
