Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Triply-degenerate point in three-dimensional spinless systems   We study the possibility of triply-degenerate points (TPs) that can be
stabilized in spinless crystalline systems. Based on an exhaustive search over
all 230 space groups, we find that the spinless TPs can exist at both
high-symmetry points and high-symmetry paths, and they may have either linear
or quadratic dispersions. For TPs located at high-symmetry points, they all
share a common minimal set of symmetries, which is the point group $T$. The TP
protected solely by the $T$ group is chiral and has a Chern number of $\pm2$.
By incorporating additional symmetries, this TP can evolve into chiral
pseudospin-1 point, linear TP without chirality, or quadratic contact TP. For
accidental TPs residing on a high-symmetry path, they are not chiral but can
have either linear or quadratic dispersions in the plane normal to the path. We
further construct effective $k\cdot p$ models and minimal lattice models for
characterizing these TPs. Distinguished phenomena for the chiral TPs are
discussed, including the extensive surface Fermi arcs and the chiral Landau
bands.

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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: math
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: nlin