拓扑材料中的电子强关联效应,这一在拓扑物理研究初期被忽视的问题,随着研究的深入,越来越引起科学家们的关注。电子的关联效应如何影响材料的拓扑性质，进而产生一系列新奇的物理特性，仍然是一个重要的科学问题。本项目计划以新型拓扑半金属材料PbTaSe2,ZrSiS以及Ce基二元半金属等为研究对象，利用多种手段对如下几个重要的科学问题展开系统深入的研究：（1）通过化学掺杂等手段，寻找可能的拓扑超导体系和重费米子拓扑体系，为研究拓扑超导和强关联拓扑物理寻找合适的载体。（2）通过高压下的输运和量子震荡，研究电子的有效质量、关联强度、拓扑性质随压力的变化以及这三者之间的关联。（3）通过高压调控，在拓扑材料中寻找可能的由压力引起的超导电性或其它新颖电子态，从而研究拓扑电子序与其它量子有序态的关联问题。项目的完成将对理解拓扑材料中由于电子关联作用引起的新物理有重要参考价值。

The strong electron correlations in the topologically nontrivial materials, an ingredient on which much less attention has been paid in the nascent field of topological physics, have gathered increasing interest in recent years. What role the electron correlations play in determining the topological features and the novel physical properties thereof, remains an unresolved question. In this proposal, we propose to study the transport properties of a set of topological materials by various tools, in particular in recently discovered PbTaSe2,ZrSiS and Ce-based binary systems with strong correlations. Primary emphasis shall be placed on the following important aspects: (1) by using the chemical synthesis/substitution, search for new topological superconductor candidates and other heavy-fermion topological materials which can offer a good platform to study the topological physics with electron correlations. (2) via transport and quantum oscillations under high pressure, study the pressure evolution of the effective mass, correlation strength, topological properties and the relationship among these three.(3) through high pressure tuning, look for the possible superconductivity and other exotic quantum phases induced by pressure, therefore investigate the relation between topological order and other symmetry-broken states. Our work may help guiding future research towards exploring the exotic properties of the topological fermions and, potentially, the rich physics arising from the interplay between the topological states and the strongly correlated electrons.