We study S=1 spin liquid states on the kagome lattice constructed by Gutzwiller-projected px+ipy superconductors. We show that the obtained spin liquids are either non-Abelian or Abelian topological phases, depending on the topology of the fermionic mean-field state. By calculating the modular matrices S and T, we confirm that projected topological superconductors are non-Abelian chiral spin liquid (NACSL). The chiral central charge and the spin Hall conductance we obtained agree very well with the SO(3)1 (or, equivalently, SU(2)2) field theory predictions. We propose a local Hamiltonian which may stabilize the NACSL. From a variational study we observe a topological phase transition from the NACSL to the Z2 Abelian spin liquid.
@article{arxiv.1509.00391,
title = {Non-Abelian Chiral Spin Liquid on the Kagome Lattice},
author = {Zheng-Xin Liu and Hong-Hao Tu and Ying-Hai Wu and Rong-Qiang He and Xiong-Jun Liu and Yi Zhou and Tai-Kai Ng},
journal= {arXiv preprint arXiv:1509.00391},
year = {2018}
}