One-dimensional electron fluid at high density

2018/05/31 by Vinod Ashokan, N. D. Drummond, K. N. Pathak
Physics and Astronomy · #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.98.125139

published as Phys. Rev. B 98, 125139 (2018)

arxiv created 2018/07/29 · arxiv updated 2018/10/03

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 for the first time. 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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