Berlin 2018 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 99: Poster Session: Transport
TT 99.17: Poster
Donnerstag, 15. März 2018, 15:00–19:00, Poster B
Dependence of structure factor and correlation energy on the width of electron wires — Vinod Ashokan4, Renu Bala5, •Klaus Morawetz1,2,3, and Kare Narain Pathak4 — 1Münster University of Applied Sciences,Stegerwaldstrasse 39, 48565 Steinfurt, Germany — 2International Institute of Physics- UFRN,Campus Universitário Lagoa nova,59078-970 Natal, Brazil — 3Max-Planck-Institute for the Physics of Complex Systems, 01187 Dresden, Germany — 4Centre for Advanced Study in Physics, Panjab University, 160014 Chandigarh, India — 5Department of Physics, MCM DAV College for Women, 160036 Chandigarh, India
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 єc (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.
arXiv: 1708.06835