On the low density regime of homogeneous electron gas

@article{Banks2019OnTL,
  title={On the low density regime of homogeneous electron gas},
  author={Thomas Banks and Bing-Bing Zhang},
  journal={arXiv: Strongly Correlated Electrons},
  year={2019}
}
We investigate the low density limit of the Homogeneous Electron system, often called the {\it Strictly Correlated} regime. We begin with a systematic presentation of the expansion around infinite $r_S$, based on the first quantized treatments suggested in the existing literature. We show that the expansion is asymptotic in the parameter $r_S^{1/4}$ and that the leading order result contains exponential corrections that are significant even for $r_S \sim 100$. Thus, the systematic expansion is… 
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