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Temperature dependence of the dynamic structure factor of the electron liquid via analytic continuation

Chuna, Thomas; Boehme, Maximilian; Dornheim, Tobias

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    <dct:title>Temperature dependence of the dynamic structure factor of the electron liquid via analytic continuation</dct:title>
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    <dcat:keyword>analytic conitnuation</dcat:keyword>
    <dcat:keyword>dynamic structure factor</dcat:keyword>
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    <dct:description>&lt;p&gt;All results have been computed for the unpolarized UEG, i.e., with an equal number of spin-up and spin-down electrons $N^\uparrow=N^\downarrow=N/2$ for $N=34$. For $r_s = 20$ and at $\Theta=0.75$, there are 1000 independent MCMC seeds, at $\Theta=1, \, 2$ there are $280$ seeds, at $\Theta=4, \,8$ there are $277$ seeds. To compute the data, we conduct leave-one-out binning across the seeds and for all the data, the variance of the mean is $\delta F \approx 10^{-3}-10^{-4}$. This error estimate is computed for each leave-one-out-bin via Hatano&amp;#39;s error formula~\cite{hatano1994data} and verified using leave-one-out binning~\cite{berg_book_2004}. This is the online repository with the PIMC results for $F(\mathbf{q},\tau)$ and analytic continuation results for $S(q,\omega)$&amp;nbsp; seen &amp;quot;Temperature dependence of the dynamic structure factor of the electron liquid via analytic continuation&amp;quot;&amp;nbsp;article.&amp;nbsp;&lt;br&gt; &lt;br&gt; The data&amp;nbsp;contained here is (1) leave-one-binned imaginary time correlation functions F(tau) (units&amp;nbsp;dimensionless) over tau (units 1/Hartree) and there error (2)&amp;nbsp;the dynamic structure factors (units 1/Hartree) over omega (units Hartree) obtained using Bryan&amp;#39;s MEM with the static approximation as the Bayesian prior&amp;nbsp;(3)&amp;nbsp;the dynamic structure factors (units 1/Hartree) over omega (units Hartree) obtained using&amp;nbsp; PyLIT with the static approximation as the Bayesian prior&amp;nbsp;(4) The omega-&amp;gt;0 limit of the ideal gas susceptibility chi(q,0)/n/beta (units&amp;nbsp;dimensionless) over q (units 1/Bohr).&lt;/p&gt;</dct:description>
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Publication date:
March 28, 2026
DOI:
10.14278/rodare.4580

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Keyword(s):
analytic conitnuation dynamic structure factor uniform electron gas
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