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arXiv · 1509.00391

Non-Abelian Chiral Spin Liquid on the Kagome Lattice

Zheng-Xin Liu·Hong-Hao Tu·Ying-Hai Wu·Rong-Qiang He·Xiong-Jun Liu·Yi Zhou·Tai-Kai Ng
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Abstract

We study $S=1$ spin liquid states on the kagome lattice constructed by Gutzwiller-projected $p_x+ip_y$ 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 $Z_2$ Abelian spin liquid.

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Zheng-Xin Liu, Hong-Hao Tu, Ying-Hai Wu, Rong-Qiang He, Xiong-Jun Liu, Yi Zhou, Tai-Kai Ng. 2018-05-13. Non-Abelian Chiral Spin Liquid on the Kagome Lattice. https://doi.org/10.1103/physrevb.97.195158

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