Quasi-localization and Wannier Obstruction in Partially Flat Bands

Explore the intriguing properties of partially flat bands in this 30-minute lecture by Jun Won Rhim from PCS Institute for Basic Science. Delve into the concept of non-normalizable compact localized states (NCLSs) and their role in characterizing partially flat bands. Examine how these bands develop within specific momentum ranges and learn about the introduction of ghost flat bands. Discover the unique decay behavior of Wannier functions corresponding to partially flat bands, including the possibility of Wannier obstruction in topologically trivial bands. Gain insights into the construction of tight-binding models for topological semimetals through NCLS design. Enhance your understanding of band theory, localization properties, and their implications in condensed matter physics.