Using a perturbative renormalization group approach, we show that the extended (J1-J2-Jd) Heisenberg model on the kagome lattice with a staggered chiral interaction (Jχ) 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.
@article{arxiv.1706.02421,
title = {Gapless chiral spin liquid from coupled chains on the kagome lattice},
author = {Rodrigo G. Pereira and Samuel Bieri},
journal= {arXiv preprint arXiv:1706.02421},
year = {2018}
}