Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fermi-liquid ground state of interacting Dirac fermions in two
  dimensions   An unbiased zero-temperature auxiliary-field quantum Monte Carlo method is
employed to analyze the nature of the semimetallic phase of the two-dimensional
Hubbard model on the honeycomb lattice at half filling. It is shown that the
quasiparticle weight $Z$ of the massless Dirac fermions at the Fermi level,
which characterizes the coherence of zero-energy single-particle excitations,
can be evaluated in terms of the long-distance equal-time single-particle
Green's function. If this quantity remains finite in the thermodynamic limit,
the low-energy single-particle excitations of the correlated semimetallic phase
are described by a Fermi-liquid-type single-particle Green's function. Based on
the unprecedentedly large-scale numerical simulations on finite-size clusters
containing more than ten thousands sites, we show that the quasiparticle weight
remains finite in the semimetallic phase below a critical interaction strength.
This is also supported by the long-distance algebraic behavior ($\sim r^{-2}$,
where $r$ is distance) of the equal-time single-particle Green's function that
is expected for the Fermi liquid. Our result thus provides a numerical
confirmation of Fermi-liquid theory in two-dimensional correlated metals.

11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con