Second roton feature in the strongly coupled electron liquid
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908367203598336 |
|---|---|
| author | Chuna, Thomas M. Vorberger, Jan Tolias, Panagiotis Robles, Alexander Benedix Hecht, Michael Hofmann, Phil-Alexander Moldabekov, Zhandos A. Dornheim, Tobias |
| author_facet | Chuna, Thomas M. Vorberger, Jan Tolias, Panagiotis Robles, Alexander Benedix Hecht, Michael Hofmann, Phil-Alexander Moldabekov, Zhandos A. Dornheim, Tobias |
| contents | We present extensive \emph{ab initio} path integral Monte Carlo (PIMC) results for the dynamic properties of the finite temperature uniform electron gas (UEG) over a broad range of densities, $2\leq r_s\leq300$. We demonstrate that the direct analysis of the imaginary-time density--density correlation function (ITCF) allows for a rigorous assessment of the density and temperature dependence of the previously reported roton-type feature [T.~Dornheim, \emph{Phys.~Rev.~Lett.}~\textbf{121}, 255001 (2018)] at intermediate wavenumbers. We clearly resolve the emergence of a second roton at the second harmonic of the original feature for $r_s\gtrsim100$, which we identify as an incipient phonon dispersion. Finally, we use our highly accurate PIMC results for the ITCF as the basis for an analytic continuation to compute the dynamic structure factor, which additionally substantiates the existence of the second roton in the strongly coupled electron liquid. Our investigation further elucidates the complex interplay between quantum delocalization and Coulomb coupling in the UEG. All PIMC results are freely available online and provide valuable benchmarks for other theoretical methodologies and approximations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_11150 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Second roton feature in the strongly coupled electron liquid Chuna, Thomas M. Vorberger, Jan Tolias, Panagiotis Robles, Alexander Benedix Hecht, Michael Hofmann, Phil-Alexander Moldabekov, Zhandos A. Dornheim, Tobias Chemical Physics Quantum Gases Strongly Correlated Electrons We present extensive \emph{ab initio} path integral Monte Carlo (PIMC) results for the dynamic properties of the finite temperature uniform electron gas (UEG) over a broad range of densities, $2\leq r_s\leq300$. We demonstrate that the direct analysis of the imaginary-time density--density correlation function (ITCF) allows for a rigorous assessment of the density and temperature dependence of the previously reported roton-type feature [T.~Dornheim, \emph{Phys.~Rev.~Lett.}~\textbf{121}, 255001 (2018)] at intermediate wavenumbers. We clearly resolve the emergence of a second roton at the second harmonic of the original feature for $r_s\gtrsim100$, which we identify as an incipient phonon dispersion. Finally, we use our highly accurate PIMC results for the ITCF as the basis for an analytic continuation to compute the dynamic structure factor, which additionally substantiates the existence of the second roton in the strongly coupled electron liquid. Our investigation further elucidates the complex interplay between quantum delocalization and Coulomb coupling in the UEG. All PIMC results are freely available online and provide valuable benchmarks for other theoretical methodologies and approximations. |
| title | Second roton feature in the strongly coupled electron liquid |
| topic | Chemical Physics Quantum Gases Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2505.11150 |