超导电性一直是凝聚态物理领域的研究热点。本项目关注强自旋轨道耦合超导体，包括自旋三态配对超导体Sr2RuO4、局域非中心对称超导体SrPtAs、以及新型BiS2基超导体。前两类超导体分别为4d、5d过渡金属化合物，由于同时具有较大的自旋轨道耦合和关联效应，表现出许多奇特的物理性质。比如，Sr2RuO4有可能是拓扑超导体。对于BiS2基超导体，实验发现可通过元素替代和加压改变超导性质。另外，这三类超导体的配对函数形式都存在争议。因此，本项目从理论角度研究三类超导体的超导电性和新奇物性。研究自旋轨道耦合、电子关联、自旋涨落等因素对超导配对的影响；研究各种可能配对函数形式导致的新奇物理性质；研究元素替代和压力对BiS2基超导体性质的影响。通过这些研究，获得不同因素对三类超导体超导电性的影响，为确定其配对对称性提供理论参考，这对三类超导体理论和实验的发展都具有重要意义。

Superconductivity has always been a hot topic in the field of condensed matter physics. In this project, we mainly focus on strong spin-orbit coupling superconductors, including spin triplet pairing superconductor Sr2RuO4, locally non-centrosymmetric superconductor SrPtAs, and the newly-discovered BiS2-based superconductors. For the former two types of superconductors, they are respectively 4d and 5d transition-metal compounds, which show many peculiar physical properties due to containing both large spin-orbit coupling and correlation effects. For example, Sr2RuO4 is thought to be a topological superconductor. While, for BiS2-based superconductors, it was experimentally discovered that superconducting properties can be changed by element substitution and applied pressure. Besides, the pairing function forms of these three types of superconductors are still controversial. Therefore, this project will theoretically study the superconductivity and novel physical properties of the three kinds of superconductors. We will study the effect of spin-orbit coupling, electron correlation, spin fluctuation and other factors on superconducting pairing, study the novel physical properties induced by different pairing function forms, and study the impact of element substitution and pressure on the superconducting properties of BiS2-based superconductors. Through these researches, we can obtain the effect of different factors on superconductivity of the three kinds of superconductors, and provide a theoretical reference for determining their pairing symmetries, which are of great significance for both theoretical and experimental developments of the three kinds of superconductors.