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One-dimensional electron fluid at high density

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Article number125139
<mark>Journal publication date</mark>24/09/2018
<mark>Journal</mark>Physical review B
Volume98
Number of pages9
Publication StatusPublished
<mark>Original language</mark>English

Abstract

We calculate the ground-state energy, pair correlation function, static structure factor, and momentum density of the one-dimensional electron fluid at high density using variational quantum Monte Carlo simulation. For an infinitely thin cylindrical wire the predicted correlation energy is found to fit nicely with a quadratic function of coupling parameter
r
s
. The extracted exponent
α
of the momentum density for
k

k
F
is used to determine the Tomonaga-Luttinger parameter
K
ρ
as a function of
r
s
in the high-density regime. We find that the simulated static structure factor and pair correlation function for infinitely thin wires agree with our recent high-density theory [K. Morawetz et al., Phys. Rev. B 97, 155147 (2018)].

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©2018 American Physical Society