Non-abelian chiral spin liquid candidate in moiré transition metal dichalcogenides

Chiral spin liquids were first theorized as a potential ground state of frustrated magnets, inspired by analogy to quantum Hall phases in the electron gas. Experimental realizations have long been sought after, but it has proven difficult to stabilize these states in realistic models. Using tensor-network and parton mean-field calculations, we present evidence for a chiral spin liquid ground state in a simple model derived from the spin-orbital Hamiltonian of a moiré lattice of Wigner molecules in transition metal dichalcogenides. The Hamiltonian is symmetric under time-reversal and reflection, but the state breaks them both while preserving their product. Its edge spectrum is that of a gapless chiral CFT, and a Nambu-Bogoliubov parton calculation yields a gapped spectrum of fermions where the valence bundle has odd Chern number. These observations constitute evidence for a non-abelian chiral spin liquid.