Kagome chiral spin liquid in transition metal dichalcogenide moiré bilayers

Abstract

At $n=3/4$ filling of the moiré flat band, transition metal dichalcogenide moiré bilayers will develop kagome charge order. We derive an effective spin model for the resulting localized spins and find that its further neighbor spin interactions can be much less suppressed than the corresponding electron hopping strength. Using density matrix renormalization group simulations, we study its phase diagram and, for realistic model parameters relevant for WSe${}_2$/WS${}_2$, we show that this material can realize the exotic chiral spin liquid phase and the highly debated kagome spin liquid. Our work thus demonstrates that the frustration and strong interactions present in TMD heterobilayers provide an exciting platform to study spin liquid physics.

5 pages, 5 figures plus Supplemental Material (11 pages, 17 figures)

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• Topological superconductivity with mixed singlet-triplet pairing in moiré transition-metal-dichalcogenide bilayers
• Probing magnetism in moiré heterostructures with quantum twisting microscopes
• Theory of intervalley-coherent AFM order and topological superconductivity in tWSe${}_2$
• Spin-polarons and ferromagnetism in doped dilute Wigner-Mott insulators
• Mott insulators in moiré transition metal dichalcogenides at fractional fillings: Slave-rotor mean-field theory
• Charge and spin properties of a generalized Wigner crystal realized in the moiré WSe${}_2$/WS${}_2$ heterobilayer
• Schwinger boson study of the $J_1$-$J_2$-$J_3$ kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• Origin and stability of generalized Wigner crystallinity in triangular moiré systems
• Magnetic field induced partially polarized chiral spin liquid in a transition metal dichalcogenide moiré system
• Interplay between topology and electron-electron interactions in the moiré MoTe${}_2$/WSe${}_2$ heterobilayer
• Ground state energy and magnetization curve of a frustrated magnetic system from real-time evolution on a digital quantum processor
• Magnetism from multiparticle ring exchange in moiré Wigner crystals