- prb-2021-vr2d
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- https://journals.aps.org/prb/abstract/10.1103/PhysRevB.105.115140
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Research output: Contribution to Journal/Magazine › Journal article › peer-review

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In: Physical Review B: Condensed Matter and Materials Physics, Vol. 105, No. 11, 115140, 30.03.2022.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Girdhar, A, Ashokan, V, Drummond, N, Morawetz, K & Pathak, KN 2022, 'Electron correlation and confinement effects in quasi-one-dimensional quantum wires at high density', *Physical Review B: Condensed Matter and Materials Physics*, vol. 105, no. 11, 115140. https://doi.org/10.1103/PhysRevB.105.115140

Girdhar, A., Ashokan, V., Drummond, N., Morawetz, K., & Pathak, K. N. (2022). Electron correlation and confinement effects in quasi-one-dimensional quantum wires at high density. *Physical Review B: Condensed Matter and Materials Physics*, *105*(11), Article 115140. https://doi.org/10.1103/PhysRevB.105.115140

Girdhar A, Ashokan V, Drummond N, Morawetz K, Pathak KN. Electron correlation and confinement effects in quasi-one-dimensional quantum wires at high density. Physical Review B: Condensed Matter and Materials Physics. 2022 Mar 30;105(11):115140. doi: 10.1103/PhysRevB.105.115140

@article{1d0ede3dbf054e1daf2e3a1d3f2d1698,

title = "Electron correlation and confinement effects in quasi-one-dimensional quantum wires at high density",

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 rs. 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=2kF grows as the wire width decreases. We obtain the Tomonaga-Luttinger liquid parameter Kρ from the momentum density. It is found that Kρ 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≪rs<1. It is found that the correlation energy varies as b2 for b≪rs 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 rs≤1. These are compared with the QMC results in the range of applicability of the theory.",

author = "Ankush Girdhar and Vinod Ashokan and Neil Drummond and Klaus Morawetz and Pathak, {K. N.}",

note = "{\textcopyright} 2022 American Physical Society ",

year = "2022",

month = mar,

day = "30",

doi = "10.1103/PhysRevB.105.115140",

language = "English",

volume = "105",

journal = "Physical Review B: Condensed Matter and Materials Physics",

issn = "1098-0121",

publisher = "AMER PHYSICAL SOC",

number = "11",

}

TY - JOUR

T1 - Electron correlation and confinement effects in quasi-one-dimensional quantum wires at high density

AU - Girdhar, Ankush

AU - Ashokan, Vinod

AU - Drummond, Neil

AU - Morawetz, Klaus

AU - Pathak, K. N.

N1 - © 2022 American Physical Society

PY - 2022/3/30

Y1 - 2022/3/30

N2 - 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 rs. 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=2kF grows as the wire width decreases. We obtain the Tomonaga-Luttinger liquid parameter Kρ from the momentum density. It is found that Kρ 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≪rs<1. It is found that the correlation energy varies as b2 for b≪rs 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 rs≤1. These are compared with the QMC results in the range of applicability of the theory.

AB - 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 rs. 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=2kF grows as the wire width decreases. We obtain the Tomonaga-Luttinger liquid parameter Kρ from the momentum density. It is found that Kρ 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≪rs<1. It is found that the correlation energy varies as b2 for b≪rs 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 rs≤1. These are compared with the QMC results in the range of applicability of the theory.

U2 - 10.1103/PhysRevB.105.115140

DO - 10.1103/PhysRevB.105.115140

M3 - Journal article

VL - 105

JO - Physical Review B: Condensed Matter and Materials Physics

JF - Physical Review B: Condensed Matter and Materials Physics

SN - 1098-0121

IS - 11

M1 - 115140

ER -