Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orbital ordering in the geometrically frustrated MgV$_2$O$_4$: \emph{Ab
  initio} electronic structure calculations   In the light of recent interesting experimental work on MgV$_2$O$_4$ we
employ the density functional theory to investigate the crucial role played by
different interaction parameters in deciding its electronic and magnetic
properties. The strong Coulomb correlation in presence of antiferromagnetic
(AFM) coupling is responsible for the insulating ground state. In the ground
state the $d_{xz}$ and $d_{yz}$ orbitals are ordered and intra-chain vanadium
ions are antiferromagnetically coupled. The calculation gives small spin-orbit
coupling (SOC), which provides a tilt of $\sim11.3^0$ to the magnetic moment
from the z-axis. In the presence of weak SOC and strong exchange coupling, the
experimentally observed small magnetic moment and low AFM transition
temperature appear to arise from spin fluctuation due to activeness of
geometrical frustration.

19
The categories of this paper are: eess
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph