Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlated Topological Phases and Exotic Magnetism with Ultracold
  Fermions   Motivated by the recent progress in engineering artificial non-Abelian gauge
fields for ultracold fermions in optical lattices, we investigate the
time-reversal-invariant Hofstadter-Hubbard model. We include an additional
staggered lattice potential and an artificial Rashba--type spin-orbit coupling
term available in experiment. Without interactions, the system can be either a
(semi)-metal, a normal or a topological insulator, and we present the
non-Abelian generalization of the Hofstadter butterfly. Using a combination of
real-space dynamical mean-field theory (RDMFT), analytical arguments, and
Monte-Carlo simulations we study the effect of strong on-site interactions. We
determine the interacting phase diagram, and discuss a scenario of an
interaction-induced transition from normal to topological insulator. At
half-filling and large interactions, the system is described by a quantum spin
Hamiltonian, which exhibits exotic magnetic order due to the interplay of
Rashba--type spin-orbit coupling and the artificial time-reversal-invariant
magnetic field term. We determine the magnetic phase diagram: both for the
itinerant model using RDMFT and for the corresponding spin model in the
classical limit using Monte-Carlo simulations.

22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom