Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetic order and anisotropic interactions induced by mixing between
  the $J=1/2$ and $3/2$ sectors in spin-orbit coupled honeycomb-lattice
  compounds   Novel magnetic ordering on the honeycomb lattice due to emergent weak
anisotropic interactions generated by the mixing between the $J=1/2$ sector and
the magnetically inactive 3/2 sector is investigated in a three-orbital
interacting electron model in the absence of Hund's coupling. Self-consistent
determination of magnetic order yields anisotropic N\'{e}el and zigzag orders
for different parameter regimes, highlighting the effect of the emergent
single-ion anisotropy. Study of magnon excitations shows extremely small magnon
energy scale compared to the hopping energy scale, and enhancement of
anisotropy effects for smaller spin-orbit coupling. These results account for
several features of the honeycomb lattice compounds such as $\rm Na_2 Ir O_3$
and $\rm Ru Cl_3$, where the leading order anisotropic interactions within the
magnetically active $J=1/2$ sector are completely quenched due to the
edge-sharing octahedra.

9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
2
The categories of this paper are: math