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arXiv · 2108.06676

Coexistence of non-Abelian chiral spin liquid and magnetic order in a spin-1 antiferromagnet

Yixuan Huang·W. Zhu·Shou-Shu Gong·Hong-Chen Jiang·D. N. Sheng
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Abstract

We study the ground-state properties of a spin-1 Heisenberg model on a square lattice with the first- and second-nearest-neighbor antiferromagnetic couplings $J_1$ and $J_2$ and a three-spin scalar chirality term $J_\chi$. Using the density matrix renormalization group calculation, we map out a global phase diagram including various magnetic order phases and an emergent quantum spin liquid phase. The nature of the spin liquid is identified as a bosonic non-Abelian Moore-Read state from the fingerprint of the entanglement spectra and identification of a full set of topological sectors. We further unveil a stripe magnetic order coexisting with this spin liquid. Our results not only establish a rare example of non-Abelian spin liquids in simple spin systems but also demonstrate the coexistence of fractionalized excitations and magnetic order beyond mean-field descriptions.

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Yixuan Huang, W. Zhu, Shou-Shu Gong, Hong-Chen Jiang, D. N. Sheng. 2021-08-15. Coexistence of non-Abelian chiral spin liquid and magnetic order in a spin-1 antiferromagnet. https://doi.org/10.1103/physrevb.105.155104

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