Electron-photon Chern number in cavity-embedded 2D moiré materials

Abstract

We explore theoretically how the topological properties of 2D materials can be manipulated by cavity quantum electromagnetic fields for both resonant and off-resonant electron-photon coupling, with a focus on van der Waals moiré superlattices. We investigate an electron-photon topological Chern number for the cavity-dressed energy minibands that is well defined for any degree of hybridization of the electron and photon states. While an off-resonant cavity mode can renormalize electronic topological phases that exist without cavity coupling, we show that when the cavity mode is resonant to electronic miniband transitions, new and higher electron-photon Chern numbers can emerge.

PRL accepted version (additional figures with respect to version v1 have been added both in the manuscript and Supplementary Material)

References in corpus (12)

• 2D materials and van der Waals heterostructures
• Observation of Moiré Excitons in WSe2/WS2 Heterostructure Superlattices
• Topological Polaritons
• Entanglement Spectrum of a Disordered Topological Chern Insulator
• Cavity Quantum Materials
• Cavity Quantum-Electrodynamical Chern Insulator: Route Towards Light-Induced Quantized Anomalous Hall Effect in Graphene
• First-principle calculation of Chern number in gyrotropic photonic crystals
• Theory of tunable flux lattices in the homobilayer moiré of twisted and uniformly strained transition metal dichalcogenides
• Lateral heterostructures and one-dimensional interfaces in 2D transition metal dichalcogenides
• Effective theory of lattice electrons strongly coupled to quantum electromagnetic fields
• Quantum electron transport controlled by cavity vacuum fields
• Berry Phase and Topology in Ultrastrongly Coupled Quantum Light-Matter Systems

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