Intraband collective excitations in fractional Chern insulators are dark

Abstract

The low-energy collective excitations of semiconductors and insulators often couple strongly to light, allowing them to be probed optically. We argue here that in fractional Chern insulators intra-band collective excitations are dark in the sense that they couple anomalously weakly to light. This conclusion is based on a relationship between ideal quantum geometry and the structure factor of a Chern band, and on a classical plasma analogy motivated by the vortexibility property of ideal Chern bands.

Main text: 5 pages, 3 figures, Supmat: 5 pages, 1 figure; Comments are welcome

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Cited by in corpus (7)

• Low-energy optical absorption in correlated insulators: Projected sum rules and the role of quantum geometry
• Multi-Band Exact Diagonalization and an Iteration Approach to Hunt For Fractional Chern Insulators in Rhombohedral Multilayer Graphene
• Quantum Phases in Twisted Homobilayer Transition Metal Dichalcogenides
• Optical properties, plasmons, and orbital Skyrme textures in twisted TMDs
• Spinless and spinful charge excitations in moiré Fractional Chern Insulators
• Chiral Graviton Modes in Fermionic Fractional Chern Insulators
• Instability of Laughlin FQH liquids into gapless power-law correlated states with continuous exponents in ideal Chern bands: rigorous results from plasma mapping