The type of magnetic order induced in local moments by a Kitaev-type spin liquid is controlled by whether the spin operators commute with the spin liquid's flux operators, yielding short-range Kitaev, long-range RKKY-like, or dimerized phases.
Kasuya, A Theory of Metallic Ferro- and Antifer- romagnetism on Zener’s Model, Progress of Theoretical Physics 16, 45 (1956)
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Magnetic order through Kondo coupling to quantum spin liquids
The type of magnetic order induced in local moments by a Kitaev-type spin liquid is controlled by whether the spin operators commute with the spin liquid's flux operators, yielding short-range Kitaev, long-range RKKY-like, or dimerized phases.