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arXiv · 1708.06835

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

Vinod Ashokan·Renu Bala·Klaus Morawetz·K. N. Pathak
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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 $ε_c$ is found to be represented by $ε_c (b,r_s)= \frac{α(r_s)}{b} + β(r_s)\; ln(b) + η(r_s)$, 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.

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Vinod Ashokan, Renu Bala, Klaus Morawetz, K. N. Pathak. 2017-09-05. Dependence of structure factor and correlation energy on the width of electron wires. https://doi.org/10.1140/epjb%2Fe2017-80530-8

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