Magnetic structure factor and pair correlation function for a semiconductor quantumwire

Abstract

In this paper we report the spin correlation and its effects on the many-body properties ofa quantum wire whose width is given practical consideration. The single-poleapproximation, which is of much relevance in studying the many-body properties of aninteracting one-dimensional electron gas (1DEG) because of the severe constraintsimposed on the phase space of plasma–hole excitations, has been used to obtainanalytical results. The local-field corrections are incorporated within the Hubbardapproximation (HA). We find the results obtained for low electron densities under thesingle-pole approximation on the paramagnon dispersion relation, magnetic structurefactor and the symmetric and anti-symmetric pair correlation function to be ingood quantitative agreement with those obtained under heavily computationalself-consistent field calculations. Unlike prior reported work on the magnetic structurefactor and pair correlation function, our calculation is applicable to quantum wiresof width less than 10 nm, where interesting quantum size effects are observed.