Ground-state properties of quasi-one-dimensional electron systems within dynamic local-field correction: Quantum Singwi-Tosi-Land-Sjolander theory

Dynamic local-field correction (LFC) brings a richer picture about the desc ription of a many-body system than the standard mean-held theories. Here we investigate the ground-state properties of a quasi-one-dimensional electro nic system using the quantum version of the Singwi-Tosi-Land-Sjolander (STL S) theory and present a critical account of its performance. The results ar e markedly different than those theories based on static LFC and the random -phase approximation; an example is the static structure factor, which deve lops a significant peak at low densities, signaling a developing ordered ph ase. An indication of growing instability at low densities is seen on G(q, 0), the static behavior of the dynamic LFC, which has an oscillatory charac ter with a magnitude exceeding unity, peaking exactly at 4k(F). The pair-co rrelation function comes out as positive for the densities considered in th is work. The correlation energy and the compressibility curves are seen to be quite close to the static STLS results. A flaw of the theory is the sign ificantly negative values of thr dynamic structure factor around the plasmo n frequencies, also the lifetime of the plasmons turns out to be negative a way from the single-pair continuum. In summary, the major shortcomings of t he dynamic STLS scheme are the violation of the compressibility sum rule (a s in the static STLS case) and the misrepresentation of the plasmons in the dynamic structure factor. [S0163-1829(99)00324-0].