부산대학교 도서관

Previous symmetry-based database searches have already revealed ubiquitous band topology in nature, while the destiny of band topology under symmetry-breaking is yet to be studied comprehensively. Here we first develop a framework allowing systematically ascertaining topological state evolution as expressed via a tree-like graph for magnetic/non-magnetic crystalline material belonging to any of the 1651 magnetic space groups. Interestingly, we find that specifying different ways of realizing symmetry-breaking leads to various contractions of the tree-like graph, as a new angle of comprehensively characterizing the correlation between a spontaneous symmetry-breaking and any symmetry-group-indicated physics consequence. We also perform a high-throughput investigation on the 1267 stoichiometric magnetic materials ever-experimentally synthesized to reveal a hierarchy of topological states along all continuous paths of symmetry-breaking (preserving the translation symmetry) from the parent magnetic space group to P1. The results in this work are expected to aid experimentalists in selecting feasible and appropriate means to tune band topology towards realistic applications and promote further studies on using tree-like graph to explore the interconnection between topology and other intriguing orderings.
Comment: See SM.pdf in Ancillary Files. Considerable changes have been made compared with the last version