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02638nam a2200373Ia 4500 |
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10.1103-PhysRevB.105.115140 |
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220425s2022 CNT 000 0 und d |
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|a 24699950 (ISSN)
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|a Electron correlation and confinement effects in quasi-one-dimensional quantum wires at high density
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|b American Physical Society
|c 2022
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|z View Fulltext in Publisher
|u https://doi.org/10.1103/PhysRevB.105.115140
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|a 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. © 2022 American Physical Society.
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|a Approximation algorithms
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|a Correlation energy
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|a Electron correlation effect
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|a First order
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|a Ground state
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|a Ground state properties
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|a Momentum density
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|a Monte Carlo methods
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|a Nanowires
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|a Pair correlation functions
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|a Quasi-one dimensional
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|a Quasi-one-dimensional
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|a Semiconductor quantum wires
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|a Static structure factors
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|a Wire
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|a Wire width
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|a Ashokan, V.
|e author
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|a Drummond, N.D.
|e author
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|a Girdhar, A.
|e author
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|a Morawetz, K.
|e author
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|a Pathak, K.N.
|e author
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|t Physical Review B
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