Title: Fermi surface topology in interacting anisotropic electron gas
Abstract: We investigate theoretically effects of electron-electron interactions on the shape of the Fermi surface in an anisotropic two-dimensional electron gas using the $`GW'$ self-energy approximation. We find that the interacting Fermi surface generally deviates from an ellipse, but not in an arbitrary way. We demonstrate that the interacting Fermi surface has only two qualitatively distinct shapes for most values of $r_s$. The Fermi surface undergoes two distinct transitions between the two shapes as $r_s$ increases. For larger $r_s$, the degree of the deviation from an ellipse rapidly increases, and thus the interacting topology is significantly different from the noninteracting elliptic Fermi surface although they preserve the same volume.
Publication Year: 2020
Publication Date: 2020-02-28
Language: en
Type: preprint
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