Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological phases of the Kitaev-Hubbard Model at half-filling   The Kitaev-Hubbard model of interacting fermions is defined on the honeycomb
lattice and, at strong coupling, interpolates between the Heisenberg model and
the Kitaev model. It is basically a Hubbard model with ordinary hopping $t$ and
spin-dependent hopping $t'$. We study this model in the weak to intermediate
coupling regime, at half-filling, using the Cellular Dynamical Impurity
Approximation (CDIA), an approach related to Dynamical Mean Field Theory but
based on Potthoff's variational principle. We identify four phases in the
$(U,t')$ plane: two semi-metallic phases with different numbers of Dirac
points, an antiferromagnetic insulator, and an algebraic spin liquid. The last
two are separated by a first-order transition. These four phases all meet at a
single point and could be realized in cold atom systems.

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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: physics