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

Ashokan, Vinod; Bala, Renu; Morawetz, Klaus; Pathak, Kare Narain

doi:10.1140/epjb/e2017-80530-8

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

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Morawetz, Klaus
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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https://link.springer.com/article/10.1140%2Fepjb%2Fe2017-80530-8
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Zitation

Ashokan, V., Bala, R., Morawetz, K., & Pathak, K. N. (2018). Dependence of structure factor and correlation energy on the width of electron wires. European Physical Journal B, 91(2): 29. doi:10.1140/epjb/e2017-80530-8.

Zitierlink: https://hdl.handle.net/21.11116/0000-0000-CFA5-D

Zusammenfassung

The structure factor and correlation energy of a quantum wire of thickness b << a(B) are studied in random phase approximation (RPA) and for the less investigated region r(s) < 1. Using the single-loop approximation, analytical expressions of the structure factor are obtained. The exact expressions for the exchange energy are also derived for a cylindrical and harmonic wire. The correlation energy in RPA is found to be represented by epsilon(c) (b, r(s)) = 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.