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Electron correlation and confinement effects in quasi-one-dimensional quantum wires at high density

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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  • Ankush Girdhar
  • Vinod Ashokan
  • Neil Drummond
  • Klaus Morawetz
  • K. N. Pathak
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Article number115140
<mark>Journal publication date</mark>30/03/2022
<mark>Journal</mark>Physical Review B: Condensed Matter and Materials Physics
Issue number11
Volume105
Number of pages10
Publication StatusPublished
<mark>Original language</mark>English

Abstract

We study the ground-state properties of ferromagnetic quasi-one-dimensional quantum wires using the quantum Monte Carlo (QMC) method for various wire widths b and density parameters r s . The correlation energy, pair-correlation function, static structure factor, and momentum density are calculated at high density. It is observed that the peak in the static structure factor at k = 2 k F grows as the wire width decreases. We obtain the Tomonaga-Luttinger liquid parameter K ρ from the momentum density. It is found that K ρ increases by about 10% between wire widths b = 0.01 and b = 0.5 . We also obtain ground-state properties of finite-thickness wires theoretically using the first-order random phase approximation (RPA) with exchange and self-energy contributions, which is exact in the high-density limit. Analytical expressions for the static structure factor and correlation energy are derived for b ≪ r s < 1 . It is found that the correlation energy varies as b 2 for b ≪ r s from its value for an infinitely thin wire. It is observed that the correlation energy depends significantly on the wire model used (harmonic versus cylindrical confinement). The first-order RPA expressions for the structure factor, pair-correlation function, and correlation energy are numerically evaluated for several values of b and r s ≤ 1 . These are compared with the QMC results in the range of applicability of the theory.

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