Possible SU(3) Chiral Spin Liquid on the Kagome Lattice

Abstract

We propose an SU(3) symmetric Hamiltonian with short-range interactions on the Kagome lattice and show that it hosts an Abelian chiral spin liquid (CSL) state. We provide numerical evidence based on exact diagonalization to show that this CSL state is stabilized in an extended region of the parameter space and can be viewed as a lattice version of the Halperin 221 fractional quantum Hall (FQH) state of two-component bosons. We also construct a parton wave function for this CSL state and demonstrate that its variational energies are in good agreement with exact diagonalization results. The parton description further supports that the CSL is characterized by a chiral edge conformal field theory (CFT) of the SU(3)_1 Wess-Zumino-Witten type.

5 pages, 4 figures; v4: typo in the caption of Fig. 3 in the published version corrected

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• SU$(3{)}_1$ Chiral Spin Liquid on the Square Lattice: a View from Symmetric PEPS
• Deconfined criticalities and dualities between chiral spin liquid, topological superconductor and charge density wave Chern insulator
• Phase diagram of the chiral SU(3) antiferromagnet on the kagome lattice
• A gapped SU(3) spin liquid with Z_3 topological order
• SU(3) trimer resonating-valence-bond state on the square lattice
• Bridging conformal field theory and parton approaches to SU(n)_k chiral spin liquids
• Unnecessary quantum criticality in $SU(3)$ kagome magnets
• The algebraic spin liquid in the SU(6) Heisenberg model on the kagome lattice