Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kekul\'e valence bond order in an extended Hubbard model on the
  honeycomb lattice, with possible applications to twisted bilayer graphene   Using large-scale quantum Monte Carlo simulations, we exactly solve a model
of Fermions hopping on the honeycomb lattice with cluster charge interactions,
which has been proposed as an effective model with possible application to
twisted bilayer graphene near half-filling. We find an interaction driven
semimetal to insulator transition to an insulating phase consisting of a
valence bond solid with Kekul\'e pattern. Finite size scaling reveals that the
phase transition of the semimetal to Kekul\'e valence bond solid phase is
continuous and belongs to chiral XY universality class.

33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th