Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin-spin interaction in the bulk of topological insulators   We apply mean-field theory and Hirsch-Fye quantum Monte Carlo method to study
the spin-spin interaction in the bulk of three-dimensional topological
insulators. We find that the spin-spin interaction has three different
components: the longitudinal, the transverse and the transverse
Dzyaloshinskii-Moriya-like terms. When the Fermi energy is located in the bulk
gap of topological insulators, the spin-spin interaction decays exponentially
due to Bloembergen-Rowland interaction. The longitudinal correlation is
antiferromagnetic and the transverse correlations are ferromagnetic. When the
chemical potential is in the conduction or valence band, the spin-spin
interaction follows power law decay, and isotropic ferromagnetic interaction
dominates in short separation limit.

9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex