Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ground state properties of the one-dimensional electron liquid   We present calculations of the energy, pair correlation function (PCF),
static structure factor (SSF), and momentum density (MD) for the
one-dimensional electron gas using the quantum Monte Carlo method. We are able
to resolve peaks in the SSF at even-integer-multiples of the Fermi wave vector,
which grow as the coupling is increased. Our MD results show an increase in the
effective Fermi wave vector as the interaction strength is raised in the
paramagnetic harmonic wire; this appears to be a result of the vanishing
difference between the wave functions of the paramagnetic and ferromagnetic
systems. We have extracted the Luttinger liquid exponent from our MDs by
fitting to data around the Fermi wave vector, finding good agreement between
the exponent of the ferromagnetic infinitely-thin wire and the ferromagnetic
harmonic wire.

30
The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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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
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys