Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetic Ordering, Anomalous Lifshitz Transition and Topological Grain
  Boundaries in Two-Dimensional Biphenylene Network   We study electronic properties of a new planar carbon crystal formed through
networking biphenylene molecules. Novel electronic features among carbon
materials such as zone-center saddle point and peculiar type-II Dirac fermionic
states are shown to exist in the low energy electronic spectrum. The type-II
state here has a nearly flat branch and is close to a transition to type-I.
Possible magnetic instabilities related with low energy bands are discussed.
Furthermore, with a moderate uniaxial strain, a pair of Dirac points merge with
the zone center saddle point, realizing concurrent Lifshitz transitions of van
Hove singularity as well as pair annihilation of the Dirac fermions. A new
effective Hamiltonian encompassing all distinctive low energy states is
constructed, revealing a finite winding number of the pseudo-spin texture
around the Dirac point, quantized Zak phases, and topological grain boundary
states.

25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg