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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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        "name": "Chuna, Thomas", 
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        "affiliation": "Lawrence Livermore National Laboratory"
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    "description": "<p>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&#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 $S(q,\\omega)$&nbsp; seen &quot;Temperature dependence of the dynamic structure factor of the electron liquid via analytic continuation&quot;&nbsp;article.&nbsp;<br>\n<br>\nThe data&nbsp;contained here is (1) leave-one-binned imaginary time correlation functions F(tau) (units&nbsp;dimensionless) over tau (units 1/Hartree) and there error (2)&nbsp;the dynamic structure factors (units 1/Hartree) over omega (units Hartree) obtained using Bryan&#39;s MEM with the static approximation as the Bayesian prior&nbsp;(3)&nbsp;the dynamic structure factors (units 1/Hartree) over omega (units Hartree) obtained using&nbsp; PyLIT with the static approximation as the Bayesian prior&nbsp;(4) The omega-&gt;0 limit of the ideal gas susceptibility chi(q,0)/n/beta (units&nbsp;dimensionless) over q (units 1/Bohr).</p>", 
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      "analytic conitnuation", 
      "dynamic structure factor", 
      "uniform electron gas"
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    "title": "Temperature dependence of the dynamic structure factor of the electron liquid via analytic continuation", 
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