Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tuning ferromagnetic BaFe$_2$(PO$_4$)$_2$ through a high Chern number
  topological phase   There is strong interest in discovering or designing wide gap Chern
insulators. Here we follow a Chern insulator to trivial Mott insulator
transition versus interaction strength U in a honeycomb lattice Fe-based
transition metal oxide, discovering that a spin-orbit coupling energy scale
$\xi$=40 meV can produce and maintain a topologically entangled Chern
insulating state against large band structure changes arising from an
interaction strength U up to 60 times as large. Within the Chern phase the
minimum gap switches from the zone corner K to the zone center $\Gamma$ while
maintaining the topological structure. At a critical strength $U_c$, the
continuous evolution of the electronic structure encounters a gap closing then
reopening, upon which the system reverts to a trivial Mott insulating phase.
This Chern insulator phase of honeycomb lattice Fe$^{2+}$ BaFe$_2$(PO$_4$)$_2$
corresponds to a large Chern number C=-3 that will provide enhanced anomalous
Hall conductivity due to the associated three edge states threading through the
bulk gap of 80 meV.

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The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
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
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
2
The categories of this paper are: math