Triangular lattice models of the Kalmeyer-Laughlin spin liquid from coupled wires

Abstract: Chiral spin liquids (CSLs) are exotic phases of interacting spins in two dimensions, characterized by long-range entanglement and fractional excitations. We construct a local Hamiltonian on the triangular lattice that stabilizes the Kalmeyer-Laughlin CSL without requiring fine-tuning. Our approach employs coupled-wire constructions and introduces a lattice duality to construct a solvable chiral sliding Luttinger liquid, which is driven towards the CSL phase by generic perturbations. By combining symmetry analysis and bosonization, we make sharp predictions for the ground states on quasi-one-dimensional cylinders and tori, which exhibit a four-fold periodicity in the circumference. Extensive tensor network simulations demonstrating ground state degeneracies, fractional quasi-particles, non-vanishing long-range order parameters, and entanglement signatures confirm the emergence of the CSL in the lattice Hamiltonian.