# Gapless chiral spin liquid from coupled chains on the kagome lattice

## TL;DR

This paper demonstrates that an extended kagome Heisenberg model with chiral interactions can host a gapless chiral quantum spin liquid phase, characterized by algebraic correlations and compatible with parton mean-field theories, potentially explaining experimental observations.

## Contribution

It introduces a perturbative RG analysis showing the emergence of a gapless chiral spin liquid in the kagome model with chiral interactions, linking theory to experimental materials.

## Key findings

- Identification of a gapless chiral spin liquid phase
- Algebraic decay of spin correlations along chains
- Compatibility with parton mean-field predictions

## Abstract

Using a perturbative renormalization group approach, we show that the extended ($J_1$-$J_2$-$J_d$) Heisenberg model on the kagome lattice with a staggered chiral interaction ($J_\chi$) can exhibit a gapless chiral quantum spin liquid phase. Within a coupled-chains construction, this phase can be understood as a chiral sliding Luttinger liquid with algebraic decay of spin correlations along the chain directions. We calculate the low-energy properties of this gapless chiral spin liquid using the effective field theory and show that they are compatible with the predictions from parton mean-field theories with symmetry-protected line Fermi surfaces. These results may be relevant to the state observed in the kapellasite material.