Disorder and interaction effects in two dimensional graphene sheets

Abstract

The interplay between different types of disorder and electron-electron interactions in graphene planes is studied by means of Renormalization Group techniques. The low temperature properties of the system are determined by fixed points where the strength of the interactions remains finite, as in one dimensional Luttinger liquids. These fixed points can be either stable (attractive), when the disorder is associated to topological defects in the lattice or to a random mass term, or unstable (repulsive) when the disorder is induced by impurities outside the graphene planes. In addition, we analyze mid-gap states which can arise near interfaces or vacancies.

4 pages, 3 figures

References in corpus (21)

• Induced Magnetic Ordering by Proton Irradiation in Graphite
• Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
• Marginal Fermi liquid behavior from 2d Coulomb interaction
• Ferromagnetism in Oriented Graphite Samples
• Ghost excitonic insulator transition in layered graphite
• Magnetic field-induced insulating behavior in highly oriented pyrolitic graphite
• The Electronic Spectrum of Fullerenes from the Dirac Equation
• Electron-electron interactions in graphene sheets
• Reentrant Metallic Behavior of Graphite in the Quantum Limit
• Zero-Conductance Resonances due to Flux States in Nanographite Ribbon Junctions
• Ferromagnetism of a graphite nodule from the Canyon Diablo meteorite
• Exact calculation of multifractal exponents of the critical wave function of Dirac fermions in a random magnetic field
• Field-induced metal-insulator Field-induced metal-insulator transition in the c-axis resistivity of graphite
• Coulomb interactions at quantum Hall critical points of systems in a periodic potential
• Absence of Metal-Insulator-Transition and Coherent Interlayer Transport in oriented graphite in parallel magnetic fields
• Negative dimensional operators in the disordered critical points of Dirac fermions
• Freezing transitions and the density of states of 2D random Dirac Hamiltonians
• The effects of weak disorders on Quantum Hall critical points
• Electrostatic screening in fullerene molecules
• Confinement of electrons in layered metals
• Interlayer hopping properties of electrons in layered metals

Cited by in corpus (69)

• The electronic properties of graphene
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Electronic Properties of Disordered Two-Dimensional Carbon
• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• Quantum Hall Ferromagnetism in Graphene
• Magnetic impurities on the surface of a topological insulator
• Electron transport in disordered graphene
• Local defects and ferromagnetism in graphene layers
• Gauge field induced by ripples in graphene
• Effects of topological defects and local curvature on the electronic properties of planar graphene
• Coulomb interaction, ripples, and the minimal conductivity of graphene
• Charge inhomogeneities due to smooth ripples in graphene sheets
• Theory of resonant multiphonon Raman scattering in graphene
• Slow imbalance relaxation and thermoelectric transport in graphene
• Interplay of Coulomb and electron-phonon interactions in graphene
• Low density ferromagnetism in biased bilayer graphene
• Gaps tunable by electrostatic gates in strained graphene
• Graphene via large N I: Renormalization
• Electronic properties of curved graphene sheets
• Coulomb interaction in graphene: Relaxation rates and transport
• Electron-electron interaction and charging effects in graphene quantum dots
• Effect of Holstein phonons on the electronic properties of graphene
• Fermi Liquid Theory of a Fermi Ring
• Gauge fields, ripples and wrinkles in graphene layers
• Interacting Electrons in Graphene: Fermi Velocity Renormalization and Optical Response
• Renormalization group approach to 2D Coulomb interacting Dirac fermions with random gauge potential
• Disorder-driven destruction of a non-Fermi liquid semimetal via renormalization group
• Geometrical and topological aspects of graphene and related materials
• Coulomb interacting Dirac fermions in disordered graphene
• Spin relaxation times in disordered graphene
• Disorder effects at a nematic quantum critical point in d-wave cuprate superconductor
• Effects of the Dirac cone tilt in two-dimensional Dirac semimetal
• Interplay between short-range correlated disorder and Coulomb interaction in nodal-line semimetals
• The fate of interaction-driven topological insulators under disorder
• Renormalization group aspects of graphene
• Effect of Coulomb interactions on the physical observables of graphene
• Influence of Coulomb interaction on the anisotropic Dirac cone in graphene
• Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene
• Long-range-correlated disorder in graphene
• Role of four-fermion interaction and impurity in the states of two-dimensional semi-Dirac materials
• Stability of two-dimensional asymmetric materials with a quadratic band crossing point under four-fermion interaction and impurity scattering
• Disordered fermionic quantum critical points
• Time-reversal versus chiral symmetry breaking in twisted bilayer graphene
• Velocity renormalization of nodal quasiparticles in d-wave superconductors
• Condition for the emergence of a bulk Fermi arc in disordered Dirac-fermion systems
• Effect of Coulomb interaction on the gap in monolayer and bilayer graphene
• Quantum phase transition and unusual critical behavior in multi-Weyl semimetals
• Superconductivity in two-dimensional disordered Dirac semimetals
• Interplay of Coulomb interaction and disorder in a two-dimensional semi-Dirac fermion system
• Interactions, disorder and local defects in graphite
• Emergent space-time supersymmetry at disorder quantum critical point
• Effects of random potentials in three-dimensional quantum electrodynamics
• Fermion-fermion interaction driven instability and criticality of quadratic band crossing systems with the breaking of time-reversal symmetry
• Cooper instability generated by attractive fermion-fermion interaction in the two-dimensional semi-Dirac semimetals
• Interplay between tilt, disorder, and Coulomb interaction in type-I Dirac fermions
• On the nature of the magnetic phase transition in a Weyl semimetal
• Anomalous Spin Response and Virtual-Carrier-Mediated Magnetism in a Topological Insulator
• First order ferromagnetic phase transition in the low electronic density regime of a biased graphene bilayer
• Two-loop disorder effects on the nematic quantum criticality in $d$-wave superconductors
• Transverse transport in graphite
• Visualization of nano-plasmons in graphene
• Quantum critical phenomena of the excitonic insulating transition in two dimensions
• Critical behavior around the fixed points driven by fermion-fermion interactions and disorders in the nodal-line superconductors
• Entanglement Entropy of $(2+1)$D Quantum Critical Points with Quenched Disorder: Dimensional Reduction Approach
• Scaling and interaction-assisted transport in graphene with one-dimensional defects
• Universality, exponents and anomaly cancellation in disordered Dirac fermions
• Global phase diagram of Coulomb-interacting anisotropic Weyl semimetals with disorder
• Interplay of interactions and disorder at the charge-density wave transition of two-dimensional Dirac semimetals
• Electronic states in a bilayer graphene quantum ripple