Measurable lattice effects on the charge and magnetic response in graphene

Abstract

The simplest tight-binding model is used to study lattice effects on two properties of doped graphene: i) magnetic orbital susceptibility and ii) regular Friedel oscillations, both suppressed in the usual Dirac cone approximation. i) An exact expression for the tight-binding magnetic susceptibility is obtained, leading to orbital paramagnetism in graphene for a wide range of doping levels which is relevant when compared with other contributions. ii) Friedel oscillations in the coarse-grained charge response are considered numerically and analytically and an explicit expression for the response to lowest order in lattice effects is presented, showing the restoration of regular 2d behavior, but with strong sixfold anisotropy.

4+ pages, 1 figure

References in corpus (14)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Dynamical polarization of graphene at finite doping
• Limits on intrinsic magnetism in graphene
• Friedel oscillations, impurity scattering and temperature dependence of resistivity in graphene
• On resonant scatterers as a factor limiting carrier mobility in graphene
• Diluted Graphene Antiferromagnet
• Quasiparticle Chirality in Epitaxial Graphene Probed at the Nanometer Scale
• Effect of a single impurity on the local density of states in monolayer and bilayer graphene
• Linear response of doped graphene sheets to vector potentials
• Diamagnetism in disordered graphene
• Many-body orbital paramagnetism in doped graphene sheets
• Orbital Magnetism and Transport Phenomena in Two Dimensional Dirac Fermions in Weak Magnetic Field
• Dynamical current-current correlation of the hexagonal lattice and graphene

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