Designing Kitaev spin liquids in metal-organic frameworks

Abstract

Kitaev's honeycomb lattice spin model is a remarkable exactly solvable model, which has a particular type of spin liquid (Kitaev spin liquid) as the ground state. Although its possible realization in iridates and $\alpha$-RuCl${}_3$ has been vigorously discussed recently, these materials have substantial non-Kitaev direct exchange interactions and do not have a spin liquid ground state. We propose metal-organic frameworks (MOFs) with Ru${}^{3+}$ (or Os${}^{3+}$) forming the honeycomb lattice as promising candidates for a more ideal realization of Kitaev-type spin models where the direct exchange interaction is strongly suppressed. The great flexibility of MOFs allows generalization to other three-dimensional lattices, for potential realization of a variety of spin liquids such as a Weyl spin liquid.

6+11 pages, 2+7 figures, 0+1 table; the final submitted version to appear in PRL

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• Strongly correlated superconductivity in a copper-based metal-organic framework with a perfect kagome lattice
• Anisotropic susceptibilities in the honeycomb Kitaev system $\alpha$-RuCl${}_3$
• Emergent $\mathrm{SU}(4)$ Symmetry in $\alpha$-ZrCl${}_3$ and Crystalline Spin-Orbital Liquids
• Spin-orbital entangled state and realization of Kitaev physics in 3d cobalt compounds: a progress report
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• Towards Kitaev Spin Liquid in 3d Transition Metal Compounds
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• Two-dimensional Kagome Materials: Theoretical Insights, Experimental Realizations, and Electronic Structures
• Low-dimensional quantum magnetism in Cu(NCS)${}_2$: A molecular framework material
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• An Exact Chiral Amorphous Spin Liquid
• Scattering Signatures of Bond-Dependent Magnetic Interactions
• Thermal Hall Effect in the Kitaev-Heisenberg System with Spin-Phonon Coupling
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• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
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• Kitaev Interactions Through an Extended Superexchange Pathway in the jeff = 1/2 Ru3+ Honeycomb Magnet, RuP3SiO11
• A theory of the quantum spin liquid in the hyper-honeycomb metal-organic framework [(C${}_2$H${}_5$)${}_3$NH]${}_2$Cu${}_2$(C${}_2$O${}_4$)${}_3$ from first principles
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• $J_{\mathrm{eff}}$ = 1/2 Hyperoctagon Lattice in Cobalt Oxalate Metal-Organic-Framework
• Electric probe for the toric code phase in Kitaev materials through the hyperfine interaction
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• Thermodynamic signature of the $\mathrm{SU}(4)$ spin-orbital liquid and symmetry fractionalization from the Lieb-Schultz-Mattis theorem
• Spin Excitations of High Spin Iron(II) in Metal-Organic Chains on Metal and Superconductor
• The Future of the Correlated Electron Problem
• Topological semimetals and insulators in three-dimensional honeycomb materials
• Static and dynamical magnetic properties of the extended Kitaev-Heisenberg model with spin vacancies
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Piezoelectric Transition in a Nonpyroelectric Gyroidal Metal-Organic Framework
• Gapless spinons and a field-induced soliton gap in the hyper-honeycomb Cu oxalate framework compound [(C${}_2$H${}_5$)${}_3$NH]${}_2$Cu${}_2$(C${}_2$O${}_4$)${}_3$