Coupled charged Bose quantum wires

Abstract

We investigate the effect of many-body correlations on the ground-state properties of two coupled charged Bose quantum wires. The intrawire and interwire correlations are treated on the same footing within the self-consistent mean-field theory of Singwi, Tosi, Land and Sjölander. Static properties, viz., pair-correlation functions, local-field correction factors, screened interactions and susceptibilities, are calculated for a range of wire spacings d, wire radii R₀, and boson density parameters r_s. We find that the qualitative dependence of intrawire correlations on r_s and R₀ remains the same as found for an isolated wire, except that they become slightly weaker with the decreasing spacing d. The interwire correlations, on the other hand, depend strongly on d and are found to grow in magnitude with decreasing d. Further, we find no evidence for the existence of a charge-density-wave ground state in the density range investigated, I≤r_s≤8, in the close proximity of wires. A comparison with the similar studies on the coupled electron quantum wires reveals that the charge-density-wave instability observed there may be an artifact of the neglect of interwire correlation effects.