Wire-width and electron-density dependence of the crossover in the peak of the static structure factor from 2kF? 4kF in one-dimensional paramagnetic electron gases

We use the variational quantum Monte Carlo (VMC) method to study the wire-width (b) and electron-density (rs) dependences of the ground-state properties of quasi-one-dimensional paramagnetic electron fluids. The onset of a quasi-Wigner crystal phase is known to depend on electron density and the crossover occurs in the low density regime. We study the effect of wire width on the crossover of the dominant peak in the static structure factor from k = 2kF to k = 4kF. It is found that, for a fixed electron density, in the charge structure factor the crossover from the dominant peak occurring at 2kF to 4kF occurs as the wire width decreases. Our study suggests that the crossover is due to the interplay of both rs and b < rs. The finite wire-width correlation effect is reflected in the peak height of the charge and spin structure factors. We fit the dominant peaks of the charge and spin structure factors assuming fit functions based on our finite wire-width theory and clues from bosonization, resulting in a good fit of the VMC data. The pronounced peaks in the charge and spin structure factors at 4kF and 2kF, respectively, indicate the complete decoupling of the charge and spin degrees of freedom. Furthermore, the wire-width dependence of the electron correlation energy and the Tomonaga-Luttinger parameter K rho is found to be significant.

Automated summary

We use the variational quantum Monte Carlo (VMC) method to study the dependence of ground-state properties of quasi-one-dimensional paramagnetic electron fluids on wire-width (b) and electron-density (rs). The crossover of the dominant peak in the static structure factor from k = 2kF to k = 4kF is investigated, and it is found that the crossover occurs as the wire width decreases for a fixed electron density. The study suggests that the crossover is due to the interplay of both rs and b < rs. The wire-width correlation effect is reflected in the peak height of the charge and spin structure factors, and the wire-width dependence of the electron correlation energy and the Tomonaga-Luttinger parameter K rho is significant.