多种量子态之间的相互作用研究是凝聚态物理和材料科学共同关注的焦点之一。磁性拓扑量子材料由于磁有序与拓扑电子结构共存，是研究多体问题和拓扑量子序的极佳载体。同时，磁性拓扑量子材料也适合于通过掺杂、高压、强磁场调控产生新型量子态，进而探究多种量子态起源及其相互关联。本项目拟针对新发现的磁性拓扑量子材料AMnPn2(A=Ca,Sr,Ba,Eu; Pn=Sb,Bi)，重点开展以下几个方面的研究：（1）通过掺杂、高压调控样品的晶体结构和基态，利用强磁场量子震荡和能带计算获得样品的能带结构信息，研究晶体结构、磁有序类型对磁性拓扑量子材料拓扑电子结构的影响规律；（2）通过对比不同磁有序结构样品的电子结构，揭示磁有序结构与Dirac/Weyl费米子形成之间的关联；（3）利用掺杂、超高压、强磁场调控样品的基态，研究多种量子态的起源和关联。项目将对理解磁性拓扑量子材料中量子态的起源和相互作用问题具有参考价值。

The interplay among various quantum states is one of the hottest topics in condensed matter physics. Magnetic topological quantum materials, due to the coexistence of intrinsic magnetic order and topological electronic structure, are an ideal platform to study the correlation effects and topological electronic properties. Meanwhile, by using chemical doping, high pressure and intense magnetic field as experimental tools, the magnetic topological materials are also very suitable for exploring new quantum states and studying of the origin and the interplay among different quantum states. Therefore, we propose to focus on the recently discovered magnetic topological quantum materials AMnPn2, and aim to address the following important scientific issues: (1) We will use the techniques of chemical doping and pressure to tune the crystal structure and the ground states of samples, and simultaneously study the band structure by quantum oscillations under high magnetic field as well as band structure calculations, to investigate the dependence of the topological band structure on the crystal structure and the magnetic ordering; (2) Through comparative study of the band structures among AMnPn2 compounds with different magnetic configurations, we will try to find the relationship between the Dirac/Weyl spectrum and the magnetic configurations; (3) We will search for new quantum states in magnetic topological quantum materials via extreme conditions such as chemical doping, high pressure, and high magnetic field. We will further investigate the origin and the interplay for these quantum states. We expect the implementation of the current project can provide clues and experimental support for a deeper understanding of the origin and the interplay among different quantum states in magnetic topological materials.