Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Electronic Structure, Phase Stability and Resistivity of Hybrid
  Hexagonal C$_x$(BN)$_{1-x}$ Two-dimensional Nanomaterial: A First-principles
  Study   We use density functional theory based first-principles method to investigate
the bandstructure and phase stability in the laterally grown hexagonal
C$_x$(BN)$_{1-x}$, two-dimensional Graphene and $h$-BN hybrid nanomaterials,
which were synthesized by experimental groups recently (Liu $et al$, Nature
Nanotech, 8, 119 (2013)). Our detail electronic structure calculations on such
materials, with both armchair and zigzag interfaces between the Graphene and $
h$-BN domains, indicate that the band-gap decreases non-monotonically with the
concentration of Carbon. The calculated bandstructure shows the onset of Dirac
cone like features near the band-gap at high Carbon concentration ($x \sim
0.8$). From the calculated energy of formation, the phase stability of
C$_x$(BN)$_{1-x}$ was studied using a regular solution model and the system was
found to be in the ordered phase below a few thousand Kelvin. Furthermore,
using the Boltzmann transport theory we calculate the electrical resistivity
from the bandstrcture of C$_x$(BN)$_{1-x}$ at different temperature ($T$),
which shows a linear behaviour when plotted in the logarithmic scale against
$T^{-1}$, as observed experimentally

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The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
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The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom