Multinode quantum spin liquids on the honeycomb lattice

Abstract

Recently it was realized that the zigzag magnetic order in Kitaev materials can be stabilized by small negative off-diagonal interactions called the ${\Gamma }^{\prime }$ terms. To fully understand the effect of the ${\Gamma }^{\prime }$ interactions, we investigate the quantum $K$-$\Gamma$-${\Gamma }^{\prime }$ model on the honeycomb lattice using the variational Monte Carlo method. Two multinode Z${}_2$ quantum spin liquids (QSLs) are found at ${\Gamma }^{\prime }>0$, one of which is the previously found proximate Kitaev spin liquid called the PKSL14 state which shares the same projective symmetry group (PSG) with the Kitaev spin liquid. A remarkable result is that a $\pi$-flux state with a distinct PSG appears at larger ${\Gamma }^{\prime }$. The $\pi$-flux state is characterized by an enhanced periodic structure in the spinon dispersion in the original Brillouin zone (BZ), which is experimentally observable. Interestingly, two PKSL8 states are competing with the $\pi$-flux state and one of them can be stabilized by six-spin ring-exchange interactions. The physical properties of these nodal QSLs are studied by applying magnetic fields and the results depend on the number of cones. Our study infers that there exist a family of zero-flux QSLs that contain $6n+2,n\in \mathbb{Z}$ Majorana cones and a family of $\pi$-flux QSLs containing $4(6n+2)$ cones in the original BZ. It provides guidelines for experimental realization of non-Kitaev QSLs in relevant materials.

arXiv comment13 pages, 11 figures, 4 tables

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Cited by in corpus (12)

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• Identification of a Kitaev Quantum Spin Liquid by Magnetic Field Angle Dependence
• Easy-plane anisotropic-exchange magnets on a honeycomb lattice: quantum effects and dealing with them
• Effect of ring-exchange interactions in the extended Kitaev honeycomb model
• Extent of frustration in the classical Kitaev-$\Gamma$ model via bond anisotropy
• Magnon Condensation in Dimerized Antiferromagnets with Spin-Orbit Coupling
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Phase diagram for Hole-Doped Kitaev System on the Honeycomb Lattice
• Quantum Spin Liquid phases in Kitaev Materials
• Even-odd effect in multilayer Kitaev honeycomb magnets
• Real-space spectral simulation of quantum spin models: Application to generalized Kitaev models
• Tuning the Chern number of Kitaev quantum spin liquid