Topological Material Search via Symmetry Indicator and Filling Anomaly

Explore the intricacies of topological material search in this 47-minute lecture by Haruki Watanabe from PCS Institute for Basic Science. Delve into the world of crystalline symmetries and their role in enriching the variety of insulators and superconductors. Learn about the symmetry-indicator method for detecting topological insulators through irreducible representations of occupied bands. Examine recent advances in symmetry-indicator methods for superconductors and discover a class of topological superconductors that elude detection by these indicators. Investigate trivial insulators exhibiting nontrivial charges at corners and hinges, and gain insights into useful formulas for characterizing these materials. Enhance your understanding of topological material search techniques and their applications in condensed matter physics.