Magnetic impurities in the honeycomb Kitaev model

Details Magnetic impurities in the honeycomb Kitaev model Magnetic impurities in the honeycomb Kitaev model

2009-12-19

arxiv.org/abs/0912.3881v3

Phys. Rev. Lett. 105, 117201(2010)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures, Published version

Scientific paper

10.1103/PhysRevLett.105.117201

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_{i\alpha}^{2}S_{j\beta}^{2}/R_{ij}^{3} between distant impurities unlike the usual dipolar RKKY interaction S_{i\alpha}S_{j\alpha}/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.$

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