Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fermion-sign-free Majarana-quantum-Monte-Carlo studies of quantum
  critical phenomena of Dirac fermions in two dimensions   Quantum critical phenomena may be qualitatively different when massless Dirac
fermions are present at criticality. Using our recently-discovered
fermion-sign-free Majorana quantum Monte Carlo (MQMC) method introduced by us
in Ref. [1], we investigate the quantum critical phenomena of {\it spinless}
Dirac fermions at their charge-density-wave (CDW) phase transitions on the
honeycomb lattice having $N_s=2L^2$ sites with largest $L=24$. By finite-size
scaling, we accurately obtain critical exponents of this so-called Gross-Neveu
chiral-Ising universality class of {\it two} (two-component) Dirac fermions in
2+1D: $\eta=0.45(2)$, $\nu=0.77(3)$, and $\beta=0.60(3)$, which are
qualitatively different from the mean-field results but are reasonably close to
the ones obtained from renormalization group calculations.

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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin