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We propose a moiré bilayer as a platform where exotic quantum phases can be stabilized and electrically detected. Moiré bilayers consist of two separate moiré superlattice layers coupled through the interlayer 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~(t3/U2), we find the SU(4) symmetric crystallized phase and an SU(4)1 chiral spin liquid at the balanced filling. We also predict two different exciton supersolid phases with interlayer coherence at imbalanced filling under displacement field. Especially, the system can simulate an SU(2) Bose-Einstein condensation by injecting interlayer excitons into the magnetically ordered Mott insulator at the layer polarized limit. Smoking gun evidences of these phases can be obtained by measuring the pseudospin transport in the counterflow channel.
Yahui Zhang got his PhD in 2019 from MIT, under supervision of Prof. T. Senthil. After that he is a postdoc scholar at Harvard, working with Ashvin Vishwanath and Subir Sachdev. In 2022, he joins Johns Hopkins University as an assistant professor. Yahui’s research interest is on strongly correlated physics, such as high Tc superconductors, quantum Hall systems and moire systems.