Anomalous Landau Level Analogs in Solids - Search and Implications for 2D Heterostructures

Explore a 57-minute seminar presentation from the Topological Quantum Matter series at Harvard CMSA, where Flatiron Institute's Valentin Crepel delves into the theoretical investigation of anomalous Landau level analogs in solid-state systems. Learn about the emergence of fractional Chen insulators and their relationship to fractional quantum Hall states, focusing on systems without applied magnetic fields. Understand the fundamental properties of Landau levels and their solid-state counterparts, with particular emphasis on anomalous Landau levels protected by index theorems, such as those found in graphene's zero-th Landau levels. Discover the mathematical framework behind Bloch wave functions that create analogous anomalous Landau levels, and examine how twisted transition metal dichalcogenides homobilayers relate to these theoretical constructs in the context of fractional Chern insulator discovery.