Developing a New Method to Uncover Hidden Topological Materials

A collaborative research team including Seishiro Ono, then a Special Postdoctoral Researcher at iTHEMS (now a Visiting Scientist at iTHEMS), has developed a theoretical method to systematically construct topological invariants, which are used to identify the topological properties of materials, according to crystal symmetry.

The method uses the Atiyah-Hirzebruch spectral sequence, a mathematical technique for investigating the topological properties of the entire momentum space. When applied to time-reversal-symmetric superconductors that conventional symmetry indicators cannot diagnose, the method completely identified their topological properties in 159 of the 230 space groups.

This result is expected to enable the theoretical discovery of topological materials that previous methods could not identify, accelerating comprehensive materials searches and the search for new materials.

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