Single-particle excitations in the uniform electron gas by diagrammatic Monte Carlo.
Sci Rep 2022;
12:2294. [PMID:
35145153 PMCID:
PMC8831554 DOI:
10.1038/s41598-022-06188-6]
[Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/04/2021] [Accepted: 01/24/2022] [Indexed: 11/30/2022] Open
Abstract
We calculate the single-particle excitation spectrum and the Landau liquid parameters for the archetypal model of solids, the three-dimensional uniform electron gas, with the variational diagrammatic Monte Carlo method, which gives numerically controlled results without systematic error. In the metallic range of density, we establish benchmark values for the wave-function renormalization factor Z, the effective mass \documentclass[12pt]{minimal}
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\begin{document}$$m^*/m$$\end{document}m∗/m, and the Landau parameters \documentclass[12pt]{minimal}
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\begin{document}$$F_0^s$$\end{document}F0s and \documentclass[12pt]{minimal}
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\begin{document}$$F_0^a$$\end{document}F0a with unprecedented accuracy, and we resolve the long-standing puzzle of non-monotonic dependence of mass on density. We also exclude the possibility that experimentally measured large reduction of bandwidth in Na metal can originate from the charge and spin fluctuations contained in the model of the uniform electron gas.
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