Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Instabilities on graphene's honeycomb lattice with electron-phonon
  interactions   We study the impact of electron-phonon interactions on the many-body
instabilities of electrons on the honeycomb lattice and their interplay with
repulsive local and non-local Coulomb interactions at charge neutrality. To
that end, we consider in-plane optical phonon modes with wavevectors close to
the $\Gamma$ point as well as to the $K, -K$ points and calculate the effective
phonon-mediated electron-electron interaction by integrating out the phonon
modes. Ordering tendencies are studied by means of a momentum-resolved
functional renormalization group approach allowing for an unbiased
investigation of the appearing instabilities. In the case of an exclusive and
supercritical phonon-mediated interaction, we find a Kekul\'e and a nematic
bond ordering tendency being favored over the $s$-wave superconducting state.
The competition between the different phonon-induced orderings clearly shows a
repulsive interaction between phonons at small and large wavevector transfers.
We further discuss the influence of phonon-mediated interactions on
electronically-driven instabilities induced by onsite, nearest neighbor and
next-to-nearest neighbor density-density interactions. We find an extension of
the parameter regime of the spin density wave order going along with an
increase of the critical scales where ordering occurs, and a suppression of
competing orders.

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The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con