SU(4) chiral spin liquid, exciton supersolid and electric detection in moiré bilayers

Abstract

We propose moiré bilayer as a platform where exotic quantum phases can be stabilized and electrically detected. Moiré bilayer consists of two separate moiré superlattice layers coupled through the inter-layer Coulomb repulsion. In the small distance limit, an SU(4) spin can be formed by combining layer pseudospin and the real spin. As a concrete example, we study an SU(4) spin model on triangular lattice in the fundamental representation. By tuning a three-site ring exchange term $K\sim \frac{t^3}{U^2}$, we find SU(4) symmetric crystallized phase and an SU(4)${}_1$ chiral spin liquid (CSL) at the balanced filling. We also predict two different exciton supersolid phases with inter-layer coherence at imbalanced filling under displacement field. Especially, the system can simulate an SU(2) Bose-Einstein-condensation (BEC) by injecting inter-layer excitons into the magnetically ordered Mott insulator at the layer polarized limit. Smoking gun evidences of these phases can be obtained by measuring the pseudo-spin transport in the counter-flow channel.

6+12 pages; 10 figures; v2: highlight experimental part; add calculation at imbalanced filling

References in corpus (11)

• Identifying Topological Order by Entanglement Entropy
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
• Mott insulating states with competing orders in the triangular lattice Hubbard model
• Distinct Spin Liquids and their Transitions in Spin-1/2 XXZ Kagome Antiferromagnets
• Phase diagram of the anisotropic triangular lattice Hubbard model
• Quantum Phase Transition in the SU(4) Spin-Orbital Model on the Triangular Lattice
• Emergence of Chiral Spin Liquids via Quantum Melting of Non-Coplanar Magnetic Orders
• Quantum spin models for the SU(n)_1 Wess-Zumino-Witten model
• Effective Spin Couplings in the Mott Insulator of the Honeycomb Lattice Hubbard Model
• Topological chiral spin liquids and competing states in triangular lattice SU($N$) Mott insulators

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• SU(4) Kondo Lattice in Semiconductor Moiré Materials
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