Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological Weyl-like Phonons and Nodal Line Phonons in Graphene   By means of first-principles calculations and modeling analysis, we have
predicted that the traditional 2D-graphene hosts the topological phononic
Weyl-like points (PWs) and phononic nodal line (PNL) in its phonon spectrum.
The phonon dispersion of graphene hosts three type-I PWs (both PW1 and PW2 at
the BZ corners \emph{K} and \emph{K}', and PW3 locating along the
$\Gamma$-\emph{K} line), one type-II PW4 locating along the $\Gamma$-\emph{M}
line, and one PNL surrounding the centered $\Gamma$ point in the $q_{x,y}$
plane. The calculations further reveal that Berry curvatures are vanishingly
zero throughout the whole BZ, except for the positions of these four pairs of
Weyl-like phonons, at which the non-zero singular Berry curvatures appear with
the Berry phase of $\pi$ or -$\pi$, confirming its topological non-trivial
nature. The topologically protected non-trivial phononic edge states have been
also evidenced along both the zigzag-edged and armchair-edged boundaries. These
results would pave the ways for further studies of topological phononic
properties of graphene, such as phononic destructive interference with a
suppression of backscattering and intrinsic phononic quantum Hall-like effects.

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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: hep-th