Dependence of structure factor and correlation energy on the width of electron wires

Abstract

The structure factor and correlation energy of a quantum wire of thickness $b\ll a_B$ are studied in random phase approximation and for the less investigated region $r_s<1$. Using the single-loop approximation, analytical expressions of the structure factor have been obtained. The exact expressions for the exchange energy are also derived for a cylindrical and harmonic wire. The correlation energy ${\epsilon }_c$ is found to be represented by ${\epsilon }_c(b,r_s)=\frac{\alpha (r_s)}{b}+\beta (r_s)ln(b)+\eta (r_s)$, for small $b$ and high densities. For a pragmatic width of the wire, the correlation energy is in agreement with the quantum Monte Carlo simulation data.

arXiv commentBeing slightly modified

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Cited by in corpus (6)

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• Ground-state properties of electron-electron biwire systems
• Exact ground-state properties of one-dimensional electron gas at high density
• Wire width and density dependence of the crossover in the peak of the static structure factor from $2k_{\text{F}}$ $\to$ $4k_{\text{F}}$ in one-dimensional paramagnetic electron gases
• Electronic quantum wires in extended quasiparticle picture