Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical representation of the Local Field Correction of the Uniform
  Electron Gas within the Effective Static Approximation   The description of electronic exchange--correlation effects is of paramount
importance for many applications in physics, chemistry, and beyond. In a recent
Letter, Dornheim \textit{et al.} [\textit{Phys. Rev. Lett.}~\textbf{125},
235001 (2020)] have presented the \emph{effective static approximation} (ESA)
to the local field correction (LFC), which allows for the highly accurate
estimation of electronic properties such as the interaction energy and the
static structure factor. In the present work, we give an analytical
parametrization of the LFC within ESA that is valid for any wave number, and
available for the entire range of densities ($0.7\leq r_s \leq20$) and
temperatures ($0\leq \theta\leq 4$) that are relevant for applications both in
the ground state and in the warm dense matter regime. A short implementation in
Python is provided, which can easily be incorporated into existing codes.
  In addition, we present an extensive analysis of the performance of ESA
regarding the estimation of various quantities like the dynamic structure
factor, static dielectric function, the electronically screened ion-potential,
and also stopping power in electronic medium. In summary, we find that the ESA
gives an excellent description of all these quantities in the warm dense matter
regime, and only becomes inaccurate when the electrons start to form a strongly
correlated electron liquid ($r_s\sim20$). Moreover, we note that the exact
incorporation of exact asymptotic limits often leads to a superior accuracy
compared to the neural-net representation of the static LFC
[\textit{J.~Chem.~Phys.}~\textbf{151}, 194104 (2019)].

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The categories of this paper are: supr-con
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
2
The categories of this paper are: math
7
The categories of this paper are: hep-th