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Coupled electron-impurity and electron-phonon systems as trivial non-Fermi liquids

TitleCoupled electron-impurity and electron-phonon systems as trivial non-Fermi liquids
Publication TypeJournal Article
Year of Publication2019
AuthorsD. Buterakos, and S. Das Sarma
JournalPhys. Rev. B
Volume100
Pagination235149
Date PublishedDEC 30
Type of ArticleArticle
ISSN2469-9950
Abstract

We consider an electron gas, both in two (2D) and three (3D) dimensions, interacting with quenched impurities and phonons within leading order finite-temperature many-body perturbation theories, calculating the electron self-energies, spectral functions, and momentum distribution functions at finite temperatures. The resultant spectral function is in general highly non-Lorentzian, indicating that the system is not a Fermi liquid in the usual sense. The calculated momentum distribution function cannot be approximated by a Fermi function at any temperature, providing a rather simple example of a non-Fermi liquid with well-understood properties.

DOI10.1103/PhysRevB.100.235149