Data and Code associated to the paper "Triangular lattice models of the Kalmeyer-Laughlin spin liquid from coupled wires"

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.手性自旋液体（Chiral Spin Liquids, CSL）是二维相互作用自旋体系的奇异物相，以长程纠缠与分数激发为核心特征。我们在三角晶格上构建了局域哈密顿量，无需精细调节即可稳定卡尔迈耶-劳克林（Kalmeyer-Laughlin）手性自旋液体相。本研究采用耦合导线构造法，并引入晶格对偶性以构建可解手性滑动卢廷格液体（Luttinger liquid），通过一般微扰即可将其驱动至手性自旋液体相。结合对称性分析与玻色化方法，我们对准一维圆柱面与环面上的基态做出了精准预测，其周长呈现四重周期性。通过大量张量网络模拟，我们验证了基态简并度、分数准粒子、非零长程序参量以及纠缠特征，证实了该晶格哈密顿量中手性自旋液体相的涌现。