Dependence of structure factor and correlation energy on the width of electron wires
Centre for Advanced Study in Physics, Panjab University,
2 Department of Physics, MCM DAV College for Women, Chandigarh 160036, India
3 Muenster University of Applied Physics, Stegerwaldstrasse 39, 48565 Steinfurt, Germany
4 International Institute of Physics – UFRN, Campus Universitário Lagoa nova, 59078-970 Natal, Brazil
5 Max-Planck-Institute for the Physics of Complex Systems, 01187 Dresden, Germany
a e-mail: email@example.com
Received in final form: 14 November 2017
Published online: 7 February 2018
The structure factor and correlation energy of a quantum wire of thickness b ≪ aB are studied in random phase approximation (RPA) and for the less investigated region rs < 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 ϵc(b, rs) = α(rs)/b + β(rs) ln(b) + η(rs), 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.
Key words: Solid State and Materials
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