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The GW plus cumulant method and plasmonic polarons: application to the homogeneous electron gas*

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Abstract

We study the spectral function of the homogeneous electron gas using many-body perturbation theory and the cumulant expansion. We compute the angle-resolved spectral function based on the GW approximation and the “GW plus cumulant” approach. In agreement with previous studies, the GW spectral function exhibits a spurious plasmaron peak at energies 1.5ω pl below the quasiparticle peak, ω pl being the plasma energy. The GW plus cumulant approach, on the other hand, reduces significantly the intensity of the plasmon-induced spectral features and renormalizes their energy relative to the quasiparticle energy to ω pl. Consistently with previous work on semiconductors, our results show that the HEG is characterized by the emergence of plasmonic polaron bands, that is, broadened replica of the quasiparticle bands, red-shifted by the plasmon energy.

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Authors and Affiliations

  1. Department of Materials, University of Oxford, Parks Road, Oxford, OX1 3PH, UK

    Fabio Caruso & Feliciano Giustino

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  1. Fabio Caruso
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  2. Feliciano Giustino
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Correspondence to Fabio Caruso.

Additional information

Contribution to the Topical Issue “Ψk Volker Heine Young Investigator Award – 2015 Finalists”, edited by Angel Rubio and Risto Nieminen.

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Caruso, F., Giustino, F. The GW plus cumulant method and plasmonic polarons: application to the homogeneous electron gas*. Eur. Phys. J. B 89, 238 (2016). https://doi.org/10.1140/epjb/e2016-70028-4

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  • DOI: https://doi.org/10.1140/epjb/e2016-70028-4

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