ELECTRON CORRELATIONS IN QUASI-ONE-DIMENSIONAL ELECTRON-SYSTEMS - INTRINSIC SUPERCONDUCTIVITY

In this paper, we study correlations in quasi-one-dimensional electron systems. To account for the short-range correlations we have used a l adder approximation (LA), and to account for the long-range correlatio ns we have used the Singwi, Tosi, Solander, and Land (STLS) scheme. Af ter solving the integral equation appearing in the LA and solving the set of self-consistent equations of the STLS scheme, we join the resul ting static structure factor in the large- and small-q limit smoothly. We then calculate the pair-correlation functions, the ground-state en ergy, the screened potential, and the plasmon dispersion relation. Our pair-correlation function remains positive everywhere (for r(s) less than or equal to 6.5) and its value at the origin, g(0), is compared w ith the results of other calculational schemes. The screened potential is repulsive for r(s) less than or equal to 2 and shows a weak attrac tive part for r(s)>2. We have argued that in these systems the s-wave intrinsic superconductivity is absent. Finally, the quantities calcula ted in this paper are compared with the results of other calculational schemes.