Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interacting weak topological insulators and their transition to Dirac
  semimetal phases   Topological insulators in the presence of strong Coulomb interaction
constitute novel phases of matter. Transitions between these phases can be
driven by single-particle or many-body effects. On the basis of {\it ab-initio}
calculations, we identify a concrete material, {\it i.e.} Ca$_{2}$PtO$_{4}$,
that turns out to be a hole-doped weak topological insulator. Interestingly,
the Pt-$d$ orbitals in this material are relevant for the band inversion that
gives rise to the topological phase. Therefore, Coulomb interaction should be
of importance in Ca$_{2}$PtO$_{4}$. To study the influence of interactions on
the weak topological insulating phase, we look at a toy model corresponding to
a layer-stacked 3D version of the Bernevig-Hughes-Zhang model with local
interactions. For small to intermediate interaction strength, we discover novel
interaction-driven topological phase transitions between the weak topological
insulator and two Dirac semimetal phases. The latter correspond to gapless
topological phases. For strong interactions, the system eventually becomes a
Mott insulator.

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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org