Published November 2025 | Version v2

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

Description

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 toward 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.

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Additional details

Related works

Is metadata for
arXiv:2502.13223 (arXiv)

Funding

Deutsche Forschungsgemeinschaft
Entangled States of Matter 277101999
Deutsche Forschungsgemeinschaft
Cluster of Excellence Matter and Light for Quantum Computing 390534769
Israel Science Foundation
2572/21
Minerva Foundation
John von Neumann Institute for Computing
Neural and Tensor Networks for Synthetic Quantum Matter NeTeNeSyQuMa
John von Neumann Institute for Computing
PGI 8 Instituts Project pgi-8

Software

Programming language
Julia