Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean field study of the topological Haldane-Hubbard model of spin-$1/2$
  fermions   Motivated by exploring the effect of interactions on Chern insulators, and by
recent experiments realizing topological bands for ultracold atoms in synthetic
gauge fields, we study the honeycomb lattice Haldane-Hubbard model of
spin-$1/2$ fermions. Using an unrestricted mean field approach, we map out the
instability of the topological band insulator towards magnetically ordered
insulators which emerge with increasing Hubbard repulsion. In addition to the
topological N\'eel phase, we recover various chiral noncoplanar magnetic orders
previously identified within a strong coupling approach. We compute the band
structure of these ordered phases, showing that the triple-$Q$ tetrahedral
phase harbors topological Chern bands with large Chern numbers.

25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
1
The categories of this paper are: cs
3
The categories of this paper are: physics
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph