Pomeranchuk instability in doped graphene

Abstract

The density of states of graphene has Van Hove singularities that can be reached by chemical doping and have already been explored in photoemission experiments. We show that in the presence of Coulomb interactions the system at the Van Hove filling is likely to undergo a Pomeranchuk instability breaking the lattice point group symmetry. In the presence of an on--site Hubbard interaction the system is also unstable towards ferromagnetism. We explore the competition of the two instabilities and build the phase diagram. We also suggest that, for doping levels where the trigonal warping is noticeable, the Fermi liquid state in graphene can be stable up to zero temperature avoiding the Kohn--Luttinger mechanism and providing an example of two dimensional Fermi liquid at zero temperature.

7 pages, 5 figures

References in corpus (31)

• Electric Field Effect in Atomically Thin Carbon Films
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Induced Magnetic Ordering by Proton Irradiation in Graphite
• Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
• d-wave superconductivity and Pomeranchuk instability in the two-dimensional Hubbard model
• Superconducting states of pure and doped graphene
• Marginal Fermi liquid behavior from 2d Coulomb interaction
• Electronic Density of States of Atomically Resolved Single-Walled Carbon Nanotubes: Van Hove Singularities and End States
• A Survey of the Van Hove Scenario for High-T_c Superconductivity With Special Emphasis on Pseudogaps and Striped Phases
• Ghost excitonic insulator transition in layered graphite
• Density waves and Cooper pairing on the honeycomb lattice
• Existence and topological stability of Fermi points in multilayered graphene
• Electron-electron interactions in graphene sheets
• Coulomb Interactions and Ferromagnetism in Pure and Doped Graphene
• Unconventional quasiparticle lifetime in graphite
• Reentrant Metallic Behavior of Graphite in the Quantum Limit
• Instability toward Formation of Quasi-One-Dimensional Fermi Surface in Two-Dimensional t-J Model
• Possible Quasi-One-Dimensional Fermi Surface in La_{2-x}Sr_{x}CuO_4
• Phase diagram and magnetic collective excitations of the Hubbard model in graphene sheets and layers
• Competition of Fermi surface symmetry breaking and superconductivity
• Deformation of the Fermi surface in the extended Hubbard model
• Effect of electron-electron interaction on the Fermi surface topology of doped graphene
• Kinematics of electrons near a Van Hove singularity
• Heat Bath Approach to Landau Damping and Pomeranchuk Quantum Critical Points
• Fermi Liquid instabilities in two-dimensional lattice models
• Instability of Anisotropic Fermi Surfaces in Two Dimensions
• Charge instabilities near a Van Hove singularity
• Self-energy corrections to anisotropic Fermi surfaces
• Weak ferromagnetism and spiral spin structures in honeycomb Hubbard planes
• Diffusion and localization in carbon nanotubes and graphene nanoribbons

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