Generalized Pomeranchuk instabilities in graphene

Abstract

We study the presence of Pomeranchuk instabilities induced by interactions on a Fermi liquid description of a graphene layer. Using a recently developed generalization of Pomeranchuk method we present a phase diagram in the space of fillings versus on-site and nearest neighbors interactions. Interestingly, we find that for both interactions being repulsive an instability region exists near the Van Hove filling, in agreement with earlier theoretical work. In contrast, near half filling, the Fermi liquid behavior appears to be stable, in agreement with theoretical results and experimental findings using ARPES. The method allows for a description of the complete phase diagram for arbitrary filling.

9 pages, 3 figures

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• Functional renormalization group and variational Monte Carlo studies of the electronic instabilities in graphene near 1/4 doping
• Topological Fermi liquids from Coulomb interactions in the doped Honeycomb lattice
• Spin-density-wave instability in graphene doped near the van Hove singularity
• Pairing and chiral spin density wave instabilities on the honeycomb lattice: a comparative quantum Monte Carlo study
• Spin-orbit coupled Fermi liquid theory of ultra-cold magnetic dipolar fermions
• Competing electronic orders on a heavily doped honeycomb lattice with enhanced exchange coupling
• Effect of Electron-Electron Interactions on Rashba-like and Spin-Split Systems
• Magnetic-flux-driven topological quantum phase transition and manipulation of perfect edge states in graphene tube
• A Hybrid-Monte-Carlo study of monolayer graphene with partially screened Coulomb interactions at finite spin density
• Pomeranchuk instabilities in multicomponent lattice systems at finite Temperature
• Spin Orbit Magnetism and Unconventional Superconductivity
• Nematic order on the surface of a three-dimensional topological insulator
• Fermi surface instabilities at finite Temperature
• Pomeranchuk instabilities in holographic metals