Power-law spin correlations in a perturbed honeycomb spin model

Abstract

We consider spin-$\frac{1}{2}$ model on the honeycomb lattice~\cite{Kitaev06} in presence of a weak magnetic field $h_{\alpha }\ll 1$. Such a perturbation destroys exact integrability of the model in terms of gapless fermions and \textit{static} $Z_2$ fluxes. We show that it results in appearance of a long-range tail in the irreducible dynamic spin correlation function: , where $f(t,r)\propto [\max (t,r){]}^{-4}$ is proportional to the density polarization function of fermions.

References in corpus (3)

• Exact results for spin dynamics and fractionization in the Kitaev Model
• An exact chiral spin liquid with non-Abelian anyons
• Algebraic spin liquid as the mother of many competing orders

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