https://doi.org/10.1140/epjb/e2017-80530-8
Regular Article
Dependence of structure factor and correlation energy on the width of electron wires
1
Centre for Advanced Study in Physics, Panjab University,
Chandigarh
160014, India
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: morawetz@fh-muenster.de
Received:
16
September
2017
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
© The Author(s) 2018. This article is published with open access at Springerlink.com
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
