Fermi Liquid Theory of a Fermi Ring

Abstract

We study the effect of electron-electron interactions in the electronic properties of a biased graphene bilayer. This system is a semiconductor with conduction and valence bands characterized by an unusual ``mexican-hat'' dispersion. We focus on the metallic regime where the chemical potential lies in the ``mexican-hat'' in the conduction band, leading to a topologically non-trivial Fermi surface in the shape of a ring. We show that due to the unusual topology of the Fermi surface electron-electron interactions are greatly enhanced. We discuss the possibility of an instability towards a ferromagnetic phase due to this enhancement. We compute the electronic polarization function in the random phase approximation and show that, while at low energies the system behaves as a Fermi liquid (albeit with peculiar Friedel oscillations), at high frequencies it shows a highly anomalous response when compare to ordinary metals.

10 pages, 10 figures

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Cited by in corpus (41)

• The electronic properties of graphene
• Properties of Graphene: A Theoretical Perspective
• The electronic properties of bilayer graphene
• The optical conductivity of graphene in the visible region of the spectrum
• Electronic properties of graphene-based bilayer systems
• Electronic properties of bilayer and multilayer graphene
• Plasmonics in Dirac systems: from graphene to topological insulators
• Unified description of the dc conductivity of monolayer and bilayer graphene at finite densities based on resonant scatterers
• Mexican Hat and Rashba Bands in Few-Layer van der Waals Materials
• Structural, Vibrational and Electronic Properties of Single Layer Hexagonal Crystals of Groups IV and V
• Electronic properties of a biased graphene bilayer
• Low density ferromagnetism in biased bilayer graphene
• Dynamical polarizability of graphene beyond the Dirac cone approximation
• Resistance noise in electrically biased bilayer graphene
• Rashba and intrinsic spin-orbit interactions in biased bilayer graphene
• Coulomb screening and collective excitations in biased bilayer graphene
• Electron-electron interactions in graphene bilayers
• Charged impurity scattering in two-dimensional materials with ring-shaped valence bands: GaS, GaSe, InS, and InSe
• Disorder-induced tail states in a gapped bilayer graphene
• Persistent Current States in Bilayer Graphene
• Calculation of divergent photon absorption in ultrathin films of a topological insulator
• Compressibility of graphene
• Gate Tunable Magnetism and Giant Magnetoresistance in ABC-stacked Few-Layer Graphene
• Mass-profile quantum dots in graphene
• Signatures of an annular Fermi sea
• Dynamic screening and plasmon spectrum in bilayer graphene
• Quasi-bound States and Resonant Skew Scattering in Two-Dimensional Materials with a Mexican-Hat Dispersion
• First order ferromagnetic phase transition in the low electronic density regime of a biased graphene bilayer
• An Origin of Dzyaloshinskii-Moriya Interaction at Graphene-Ferromagnet Interfaces Due to the Intralayer RKKY/BR Interaction
• Friedel oscillations in two-dimensional materials with inverted bands and Mexican-hat dispersion
• Quasi-bound Electron Pairs in Two-Dimensional Materials with a Mexican-Hat Dispersion
• Electron Correlations in Bilayer Graphene
• The linear Dirac spectrum and the Weyl states in the Drude-Sommerfeld topological model
• Plasmon modes in double-layer biased bilayer graphene
• Exotic spintronic properties of transition-metal monolayers on graphyne
• Anomalous screening in two-dimensional materials with an extremum ring in the dispersion law
• Coulomb drag in metal monochalcogenides double-layer structures with Mexican-hat band dispersions
• Disorder-induced magnetooscillations in bilayer graphene at high bias
• Kondo effect near the Van Hove singularity in biased bilayer graphene
• Charged impurity scattering in two-dimensional topological insulators with Mexican-hat dispersion
• Ground-state properties of dilute Bose systems with synthetic dispersion laws