Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fermion-induced quantum critical points in two-dimensional Dirac
  semimetals   In this paper we investigate the nature of quantum phase transitions between
two-dimensional Dirac semimetals and $Z_3$-ordered phases (e.g. Kekule
valence-bond solid), where cubic terms of the order parameter are allowed in
the quantum Landau-Ginzberg theory and the transitions are putatively
first-order. From large-$N$ renormalization group (RG) analysis, we find that
fermion-induced quantum critical points (FIQCPs) [Z.-X. Li et al., Nature
Communications 8, 314 (2017)] occur when $N$ (the number of flavors of
four-component Dirac fermions) is larger than a critical value $N_c$.
Remarkably, from the knowledge of spacetime supersymmetry, we obtain an exact
lower bound for $N_c$, i.e., $N_c>1/2$. (Here the "1/2" flavor of
four-component Dirac fermions is equivalent to one flavor of four-component
Majorana fermions). Moreover, we show that the emergence of two length scales
is a typical phenomenon of FIQCPs and obtain two different critical exponents,
i.e., $\nu$$\neq$$\nu'$, by large-$N$ RG calculations. We further give a brief
discussion on possible experimental realizations of FIQCPs.

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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: math
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg