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Fermi-surface topology and renormalization of bare ellipticity in an interacting anisotropic electron gas

TitleFermi-surface topology and renormalization of bare ellipticity in an interacting anisotropic electron gas
Publication TypeJournal Article
Year of Publication2020
AuthorsS. Ahn, and D. S. Sarma
JournalPhys. Rev. B
Volume102
Pagination161114
Date PublishedOCT 19
Type of ArticleArticle
ISSN2469-9950
Abstract

We investigate effects of electron-electron interactions on the shape of the Fermi surface in an anisotropic two-dimensional electron gas using the ``RPA-GW{''} self-energy approximation. We find that the interacting Fermi surface deviates from an ellipse but not in an arbitrary way. The interacting Fermi surface has only two qualitatively distinct shapes for most values of r(s). The Fermi surface undergoes two distinct transitions between these two shapes as r(s) increases. For larger r(s), the degree of the deviation from an ellipse rapidly increases, but, in general, our theory provides a justification for the widely used elliptical Fermi-surface approximation, even for the interacting system, since the nonelliptic corrections are quantitatively rather small except for very large r(s).

DOI10.1103/PhysRevB.102.161114