Intrinsic spin Hall effect in nonmagnetic compounds

The spin Hall effect (SHE), i.e., conversion of charge current to spin current without magnetic moment, has gained intensive interests over the last decade since the study of its intrinsic mechanism and the observation of it in experiments. Owing to its natural functions of spin current generation, detection, and manipulation, SHE meets the fundamental requirements for the spintronics. In this work, we performed an extensive study of the intrinsic SHE for all the existing non-magnetic materials, and provide an intrinsic SHC database including approximately 20000 compounds. From this database, we extracted a universal origin for strong SHE, the mirror symmetry protected nodal lines that are gapped out by spin-orbit coupling. This extensive study of intrinsic SHE in materials via numerical predictions offers a good platform to experimental design strong SHE, and it is helpful for the comprehensive understanding of the SHE via statistical analysis.