Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Valence-Bond Order in a Honeycomb Antiferromagnet Coupled to Quantum
  Phonons   We use exact quantum Monte Carlo simulations to demonstrate that the N\'eel
ground state of an antiferromagnetic SU(2) spin-$\frac{1}{2}$ Heisenberg model
on the honeycomb lattice can be destroyed by a coupling to quantum phonons. We
find a clear first-order transition to a valence-bond-solid state with Kekul\'e
order instead of a deconfined quantum critical point. However, quantum lattice
fluctuations can drive the transition towards weakly first-order, revealing a
tunability of the transition by the retardation of the interaction. In contrast
to the one-dimensional case, our phase diagram in the adiabatic regime is
qualitatively different from the frustrated $J_1$-$J_2$ model. Our results
suggest that a coupling to bond phonons can induce Kekul\'e order in Dirac
systems.

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The categories of this paper are: hep-ph
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The categories of this paper are: cs
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph