Self-energy corrections to anisotropic Fermi surfaces

Abstract

The electron-electron interactions affect the low-energy excitations of an electronic system and induce deformations of the Fermi surface. These effects are especially important in anisotropic materials with strong correlations, such as copper oxides superconductors or ruthenates. Here we analyze the deformations produced by electronic correlations in the Fermi surface of anisotropic two-dimensional systems, treating the regular and singular regions of the Fermi surface on the same footing. Simple analytical expressions are obtained for the corrections, based on local features of the Fermi surface. It is shown that, even for weak local interactions, the behavior of the self-energy is non trivial, showing a momentum dependence and a self-consistent interplay with the Fermi surface topology. Results are compared to experimental observations and to other theoretical results.

13 pages, 10 figures

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Cited by in corpus (10)

• Effect of electron-electron interaction on the Fermi surface topology of doped graphene
• Pomeranchuk instability in doped graphene
• Non-Fermi liquid signatures in the Hubbard Model due to van Hove singularities
• Transport properties of the metallic state of overdoped cuprate superconductors from an anisotropic marginal Fermi liquid model
• Consistent description of the metallic phase of overdoped cuprate superconductors as an anisotropic marginal Fermi liquid
• Screening, Friedel oscillations, RKKY interaction, and Drude transport in anisotropic two-dimensional systems
• Anisotropic Fermionic Quasiparticles
• Fermi-surface topology and renormalization of bare ellipticity in an interacting anisotropic electron gas
• Renormalization group approach to anisotropic superconductivity
• Anomalous quasiparticle lifetime in geometric quantum critical metals