Vertex Corrections for Positive-Definite Spectral Functions of Simple Metals

We present a systematic study of vertex corrections in a homogeneous electron gas at metallic densities. The vertex diagrams are built using a recently proposed positive-definite diagrammatic expansion for the spectral function. The vertex function not only provides corrections to the well known pla...

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Bibliographic Details
Published in:Physical review letters 2016-11, Vol.117 (20), p.206402-206402, Article 206402
Main Authors: Pavlyukh, Y, Uimonen, A-M, Stefanucci, G, van Leeuwen, R
Format: Article
Language:English
Subjects:
Channels
Electron gas
Monte Carlo methods
Particle decay
Plasmons
Scattering
Spectra
Weight reduction
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Summary:We present a systematic study of vertex corrections in a homogeneous electron gas at metallic densities. The vertex diagrams are built using a recently proposed positive-definite diagrammatic expansion for the spectral function. The vertex function not only provides corrections to the well known plasmon and particle-hole scatterings, but also gives rise to new physical processes such as the generation of two plasmon excitations or the decay of the one-particle state into a two-particle-one-hole state. By an efficient Monte Carlo momentum integration we are able to show that the additional scattering channels are responsible for a reduction of the bandwidth, the appearance of a secondary plasmon satellite below the Fermi level, and a substantial redistribution of spectral weights. The feasibility of the approach for first-principles band-structure calculations is also discussed.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.117.206402