论文标题
部分可观测时空混沌系统的无模型预测
NaCo2(SeO3)2(OH): Competing Magnetic Ground States of a New Sawtooth Structure with 3d7 Co2+ Ions
论文作者
论文摘要
储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。
While certain magnetic sublattices have long been known theoretically to give rise to emergent physics via competing magnetic interactions and quantum effects, finding such configurations in real materials is often deeply challenging. Here we report the synthesis and characterization of a new such material, NaCo2(SeO3)2(OH) which crystallizes with a highly frustrated sublattice of sawtooth Co2+ chains. Single crystals of NaCo2(SeO3)2(OH) were synthesized using a low-temperature hydrothermal method. X-ray single crystal structure analysis reveals that the material crystallizes in orthorhombic space group of Pnma (no. 62). Its crystal structure exhibits one-dimensional chains of corner-sharing isosceles triangles that are made of two crystallographically distinct 3d7 Co2+ sites (Co(1) and Co(2)). The chains run along the b-axis and are interconnected via [SeO3] groups to form a three-dimensional structure mediating super-exchange interactions. The temperature dependent magnetization data show a ferromagnetic-like (FM) transition at 11 K (T1) followed by an antiferromagnetic (AFM) transition at about 6 K (T2). Neutron-powder diffraction measurements reveal that at T1 = 11 K only Co(2) site orders magnetically, forming ferromagnetic zigzag chains along the b-axis. Below T2 = 6 K, both Co(1) and Co(2) sites order in an nearly orthogonal configuration, with Co(1) moments lying inside the plane of the sawtooth chain while Co(2) moments cant out of the plane. The canting of the magnetic moments leads to a net ferromagnetic component along b-axis, parallel to the chain direction. The ordered moments are fully compensated in the ac-plane.