Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Power-law spin correlations in a perturbed honeycomb spin model   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: $%
\left\langle \left\langle s^{z}(t,r)s^{z}(0,0)\right\rangle \right\rangle
\propto h_{z}^{2}f(t,r)$, where $f(t,r)\propto \lbrack \max (t,r)]^{-4}$ is
proportional to the density polarization function of fermions.

6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex