Magnetic impurities in the honeycomb Kitaev model

Abstract

We study the effect of coupling magnetic impurities to the honeycomb lattice spin-1/2 Kitaev model in its spin liquid phase. We show that a spin-S impurity coupled to the Kitaev model is associated with an unusual Kondo effect with an intermediate coupling unstable fixed point K_c J/S separating topologically distinct sectors of the Kitaev model. We also show that the massless spinons in the spin liquid mediate an interaction of the form S_{iα}^{2}S_{jβ}^{2}/R_{ij}^{3} between distant impurities unlike the usual dipolar RKKY interaction S_{iα}S_{jα}/R_{ij}^{3} noted in various 2D impurity problems with a pseudogapped density of states of the spin bath. Furthermore, this long-range interaction is possible only if the impurities (a) couple to more than one neighboring spin on the host lattice and (b) the impurity spin is not a spin-1/2.$

4 pages, 3 figures, Published version

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• Kitaev spin models from topological nanowire networks
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• Vacancies in the Kitaev quantum spin liquids on the 3D hyper-honeycomb lattice
• Power-Law Behavior of Bond Energy Correlators in a Kitaev-type Model with a Stable Parton Fermi Surface
• Exact Chiral Spin Liquids and Mean-Field Perturbations of Gamma Matrix Models on the Ruby Lattice
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• Magnetic order through Kondo coupling to quantum spin liquids
• Overscreened Kondo fixed point in S=1 spin liquid
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• Fractional Local Moment and High Temperature Kondo Effect in Rashba-Fermi Gases
• Vacancies in generic Kitaev spin liquids
• Kondo Screening Cloud Scaling: Impurity Entanglement and Magnetization
• Detecting symmetry fractionalization in gapped quantum spin liquids by magnetic impurities
• Robustness of Vacancy-Bound Non-Abelian Anyons in the Kitaev Model in a Magnetic Field
• Microscopic theory of field-tuned topological transitions in the Kitaev honeycomb model
• Chirality reversal at finite magnetic impurity strength and local signatures of a topological phase transition
• Chiral $p-$wave superconductivity in Pb${}_{1-x}$Sn${}_x$Te: signatures from bound-state spectra and wavefunctions
• Realizing Majorana fermion modes in the Kitaev model