Gapped and gapless spin liquid phases on the Kagome lattice from chiral three-spin interactions

Understand

We argue that a relatively simple model containing only SU(2)-invariant chiral three-spin interactions on a Kagome lattice of S=1/2 spins can give rise to both a gapped and a gapless quantum spin liquid.

• Our arguments are rooted in a formulation in terms of network models of edge states and are backed up by a careful numerical analysis.
• For a uniform choice of chirality on the lattice, we realize the Kalmeyer-Laughlin state, i.e.
• a gapped spin liquid which is identified as the nu=1/2 bosonic Laughlin state.