Eight-color chiral spin liquid in the $S=1$ bilinear-biquadratic model with Kitaev interactions

Abstract

Multipolar spin systems provide a rich ground for the emergence of unexpected states of matter due to their enlarged spin degree of freedom. In this study, with a specific emphasis on $S=1$ magnets, we explore the interplay between spin nematic states and spin liquids. Based on the foundations laid in the prior work [R. Pohle et al., Phys. Rev. B 107, L140403 (2023)], we investigate the $S=1$ Kitaev model with bilinear-biquadratic interactions, which stabilizes, next to Kitaev spin liquid, spin nematic and triple-$q$ phases, also an exotic chiral spin liquid. Through a systematic reduction of the spin degree of freedom -- from ${\mathbb{CP}}^2$ to ${\mathbb{CP}}^1$ and ultimately to a discrete eight-color model -- we provide an intuitive understanding of the nature and origin of this chiral spin liquid. We find that the chiral spin liquid is characterized by an extensive ground-state degeneracy, bound by a residual entropy, extremely short-ranged correlations, a nonzero scalar spin chirality marked by ${\mathbb{Z}}_2$ flux order, and a gapped continuum of excitations. Our work contributes not only to the specific exploration of $S=1$ Kitaev magnets but also to the broader understanding of the importance of multipolar spin degree of freedom on the ground state and excitation properties in quantum magnets.

30 pages, 16 figures

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Cited by in corpus (10)

• Spin-$S$ Kitaev-Heisenberg model on the honeycomb lattice: A high-order treatment via the many-body coupled cluster method
• A Classical Chiral Spin-Liquid from Chiral Interactions on the Pyrochlore Lattice
• Quantum phase transition between spin liquid and spin nematics in spin-1 Kitaev honeycomb model
• Comparison of encoding schemes for quantum computing of $S>1/2$ spin chains
• Classical ${\mathbb{Z}}_2$ spin liquid on the generalized four-color Kitaev model
• Quantum criticality and emergent orders in the spin-1 bilinear-biquadratic-Kitaev chain
• Kitaev Meets Affleck-Kennedy-Lieb-Tasaki: Competing Quantum Disorder in Spin-3/2 Honeycomb Systems
• Phenomenological Ginzburg-Landau theory for triple-Q magnetic orders on a hexagonal lattice
• Even-odd effect in multilayer Kitaev honeycomb magnets
• Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets