Quantum Spin Liquid with Emergent Chiral Order in the Triangular-lattice Hubbard Model

The interplay between spin frustration and charge fluctuation gives rise to an exotic quantum state in the intermediate-interaction regime of the half-filled triangular-lattice Hubbard (TLU) model, while the nature of the state is under debate. Using the density matrix renormalization group with SU(2)_spin U(1)_charge symmetries implemented, we study the TLU model defined on long cylindrical geometries. Here we discuss our current progress on the gapped chiral Kalmeyer-Laughlin quantum spin liquid encountered in the TLU at intermediate onsite interaction 9 < U / t < 10.75 in between the metallic and the antiferromagnetic Mott insulating phases.