Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fermion-induced quantum critical point in Dirac semimetals: a
  sign-problem-free quantum Monte Carlo study   According to Landau criterion, a phase transition should be first order when
cubic terms of order parameters are allowed in its effective Ginzburg-Landau
free energy. Recently, it was shown by renormalization group (RG) analysis that
continuous transition can happen at putatively first-order $Z_3$ transitions in
2D Dirac semimetals and such non-Landau phase transitions were dubbed
"fermion-induced quantum critical points" (FIQCP) [Li et al., Nature
Communications 8, 314 (2017)]. The RG analysis, controlled by the 1/$N$
expansion with $N$ the number of flavors of four-component Dirac fermions,
shows that FIQCP occurs for $N\geq N_c$. Previous QMC simulations of a
microscopic model of SU($N$) fermions on the honeycomb lattice showed that
FIQCP occurs at the transition between Dirac semimetals and Kekule-VBS for
$N\geq 2$. However, precise value of the lower bound $N_c$ has not been
established. Especially, the case of $N=1$ has not been explored by studying
microscopic models so far. Here, by introducing a generalized SU($N$) fermion
model with $N=1$ (namely spinless fermions on the honeycomb lattice), we
perform large-scale sign-problem-free Majorana quantum Monte Carlo simulations
and find convincing evidence of FIQCP for $N=1$. Consequently, our results
suggest that FIQCP can occur in 2D Dirac semimetals for all positive integers
$N\geq 1$.

5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
18
The categories of this paper are: econ