Electronic Transport in Graphene: Quantum Effects and Role of Local Defects

Abstract

In this paper we present generic properties of quantum transport in mono-layer graphene. In the scheme of the Kubo-Geenwood formula, we compute the square spreading of wave packets of a given energy with is directly related to conductivity. As a first result, we compute analytically the time dependent diffusion for pure graphene. In addition to the semi-classical term a second term exists that is due to matrix elements of the velocity operator between electron and hole bands. This term is related to velocity fluctuations i.e. Zitterbewegung effect. Secondly, we study numerically the quantum diffusion in graphene with simple vacancies and pair of neighboring vacancies (divacancies), that simulate schematically oxidation, hydrogenation and other functionalisations of graphene. We analyze in particular the time dependence of the diffusion and its dependence on energy in relation with the electronic structure. We compute also the mean free path and the semi-classical value of the conductivity as a function of energy in the limit of small concentration of defects.

10 pages, 5 figures

References in corpus (12)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics
• Disorder Induced Localized States in Graphene
• Modeling disorder in graphene
• Weak antilocalization in epitaxial graphene: evidence for chiral electrons
• Resonant scattering by realistic impurities in graphene
• The epitaxial-graphene/graphene-oxide junction, an essential step towards epitaxial graphene electronics
• Metal to insulator transition in epitaxial graphene induced by molecular doping
• Two-dimensional Graphene with Structural Defects: Elastic Mean Free Path, Minimum Conductivity and Anderson Transition
• Average Density of States in Disordered Graphene systems
• Adittional levels between Landau bands due to vacancies in graphene: towards a defect engineering

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