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Abstract
The Singwi-Sj\"olander-Tosi-Land (SSTL) approach is generalized to study the spin-correlation effects in a one-dimensional (1D) electron gas. It is shown that the SSTL approach yields different and interesting results compared with the more widely used Singwi-Tosi-Land-Sj\"olander (STLS) approach. We find out that the self-consistent field approaches, STLS and SSTL, predict a Bloch transition for 1D electron-gas systems at low electron densities.
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