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

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.

5+6 pages, 6+9 figures

References in corpus (13)

• Non-Abelian Anyons and Topological Quantum Computation
• The density-matrix renormalization group in the age of matrix product states
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• An exact chiral spin liquid with non-Abelian anyons
• Fractional Quantum Hall States and Jack Polynomials
• Characterizing topological order by studying the ground states of an infinite cylinder
• Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
• Non-Abelian Statistics in a Quantum Antiferromagnet
• Distinct Spin Liquids and their Transitions in Spin-1/2 XXZ Kagome Antiferromagnets
• Variational Monte Carlo study of chiral spin liquid in the extended Heisenberg model on the Kagome lattice
• Spontaneous formation of a non-uniform chiral spin liquid in moat-band lattices
• Emergence of Chiral Spin Liquids via Quantum Melting of Non-Coplanar Magnetic Orders
• Chern-Simons theory of the magnetization plateaus of the spin-1/2 quantum XXZ Heisenberg model on Kagome Lattice

Cited by in corpus (10)

• Thermal Hall effects in quantum magnets
• Chiral spin liquid and quantum phase diagram of spin-$1/2$ $J_1$-$J_2$-$J_{\chi }$ model on the square lattice
• Generalized Gibbs Ensemble Description of Real Space Entanglement Spectra of (2+1)-dimensional Chiral Topological Systems with $SU(2)$ Symmetry
• Exact deconfined gauge structures in the higher-spin Yao-Lee model: a quantum spin-orbital liquid with spin fractionalization and non-Abelian anyons
• Global quantum phase diagram and non-Abelian chiral spin liquid in a spin-3/2 square lattice antiferromagnet
• Efficient conversion from fermionic Gaussian states to matrix product states
• Magnetic field induced partially polarized chiral spin liquid in a transition metal dichalcogenide moiré system
• Bridging conformal field theory and parton approaches to SU(n)_k chiral spin liquids
• Diagnosing energy gap in quantum spin liquids via polarization amplitude
• Triangular lattice models of the Kalmeyer-Laughlin spin liquid from coupled wires