High-throughput Investigations of Topological and Nodal Superconductors


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The theory of symmetry indicators has enabled database searches for topological materials in normal conducting phases, which has led to several encyclopedic topological material databases. Here, based on recently developed symmetry indicators for superconductors, we report our comprehensive search for topological and nodal superconductors among nonmagnetic materials in Inorganic Crystal Structure Database. A myriad of topological superconductors with exotic boundary states are discovered. When materials are symmetry-enforced nodal superconductors, positions and shapes of the nodes are also identified. These data are aggregated at Database of Topological and Nodal Supercoductors. We also provide a subroutine Topological Supercon, which allows users to examine the topological nature in the superconducting phase of any material themselves by uploading the result of first-principles calculations as an input. Our database and subroutine, when combined with experiments, will help us understand the unconventional pairing mechanism and facilitate realizations of the long-sought Majorana fermions promising for topological quantum computations.

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