3 papers
cond-mat.mes-hall2026
The theory of topological-topological flat bands
Rui-Heng Liu, Jiangping Hu, Chen Fang
Electronic flat bands have localized Wannier-like orbitals as zero modes. In the Lieb or the kagome models, the localized orbitals satisfy a topological condition that entails two…
cond-mat.mes-hall2025
Symmetry-Based Real-Space Framework for Realizing Flat Bands and Unveiling Nodal-Line Touchings
Rui-Heng Liu, Xin Liu
Flat band (FB) systems provide ideal playgrounds for studying correlation physics, whereas multi-orbital characteristics in real materials are distinguished from most simple FB mod…
cond-mat.mes-hall2024
Non-Abelian line graph: A generalized approach to flat bands
Rui-Heng Liu, Xin Liu
Flat bands (FBs) in materials can enhance the correlation effects, resulting in exotic phenomena. Line graph (LG) lattices are well known for hosting FBs with isotropic hoppings in…