Ground-state correlations in a charged Bose quantum wire

We study the ground-state correlations in a charged Bose quantum wire withi n the self-consistent-held approximation of Singwi Tosi, Land, and Sjolande r. A simple cylindrical model for the quantum wire is used. Static properti es (structure factor, pair correlation function, and screened interaction p otential), elementary excitation spectra, and ground-state energies are cal culated at different boson number densities and wire radii. Our study shows that, in addition to the density of bosons, the wire radius provides an ex tra control on the strength of the many-body correlations. The correlation effects are found to become increasingly important with decreasing wire rad ius at a fixed density, and vice versa. The results obtained using the lowe r-order random-phase approximation are also given. We have compared our res ults for the screened potential with those for the semiconductor electron q uantum wire. It is found that the screened potential for charged bosons is more attractive than that for electrons for r(s) > 8, while the two potenti als become essentially the same for r(s) > 8. Therefore, we conclude that t he exchange effects associated with the electron statistics act to oppose t he overscreening properties of the charged Bose system and are dominated by the Coulomb correlation effects at low carrier densities corresponding to r(s) > 8.