Chern Mosaic and Ideal Bands in Helical Trilayer Graphene

Explore a detailed physics seminar presentation from the Topological Quantum Matter series where Daniele Guerci of the Flatiron Institute discusses the emergent real-space Chern mosaic pattern in helical trilayer graphene (hTTG). Learn about the unique characteristics of hTTG, including its distinct regions with finite integer Chern numbers separated by domain walls featuring gapless spectrum connectivity across all energy scales. Delve into the Hamiltonian description of hTTG and examine macroscopic domains containing isolated flat bands with remarkable properties. Understand the chiral limit analysis revealing flat bands composed of Chern -1 and Chern 2 bands described through lowest Landau level superposition. Discover how geometric relations and symmetry arguments explain flat band origins, and investigate zero-mode properties at higher magic angles. The presentation references three key papers, including a PRB Editors' Suggestion publication and two recent arXiv submissions, providing comprehensive theoretical framework for these quantum phenomena.