拓扑量子材料是凝聚态物理和材料科学领域的热门课题。当前人们对于保持时间反演对称性的拓扑量子态已经有了比较深入的认识，但对于磁性体系的拓扑量子态研究还比较少且有待深入。磁性拓扑材料一般有较强的电子关联和自旋轨道耦合效应，往往有着复杂的磁结构，所以其拓扑物理性质相对来说更为丰富，同时对于研究工作带来一定的挑战性。本项目计划使用适合研究关联电子体系的LDA+DMFT计算方法，发展一套计算海森堡相互作用项、Dzyaloshinsky-Moriya磁相互作用项的理论方法，完成相关程序包的开发，确定关联电子体系的磁结构；然后基于LDA+DMFT方法和有效模型相结合研究磁性体系的拓扑量子态：找寻Weyl点正好在费米面同时有较长费米弧的Weyl半金属体系；探寻可能的受晶体对称性保护的磁性拓扑量子态，并找到真实的材料体系；找寻小尺寸、高工作温度的磁性斯格明子体系。为找寻性能优越的磁性拓扑体系提供理论依据。

With a lot of novel properties, topological quantum systems have attracted great research attention. Currently, there are a lot of works on the time-reversal-symmetry protected topological phases. On the other hand, the magnetic topological materials, with considerable electron-electron correlation and the spin-orbital interaction, usually display complex magnetic configuration, which bring diverse physical properties and also challenge researchers working on them. In this proposal, based on LDA+DMFT method, we propose to develop a scheme to calculate the Heisenberg magnetic interaction as well as Dzyaloshinsky-Moriya magnetic interaction to determine the complex magnetic order of correlated system. With combining the LDA+DMFT method and the effective model method, we will study the topological magnetic systems. We plan to find the novel ideal Weyl semimetal with the Weyl points exactly located at Fermi level meanwhile with long Fermi Arc. We plan to study the new topological phases protected by magnetic space group, and predict the corresponding real materials. We also attempt to search the skyrmion systems with a small size and a high working temperature. In general, based on different theoretical methods aforementioned, we propose to study new magnetic topological phases/materials, and also find ways to tune them for potential applications in the future.