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2 results

  • 5 - Linear Response and the Dielectric Function

  • from Part One - One-Electron Theory
  • Michael El-Batanouny, Boston University
  • Book:
    Advanced Quantum Condensed Matter Physics
    Published online:
    06 March 2020
    Print publication:
    26 March 2020, pp 146-165

  • Summary

    Covers linear response from the one-electron viewpoint, including causality and the Kramers–Kronig relation. It develops the Kubo conductivity formula with special reference to the quantum Hall effect. The longitudinal and transverse dielectric functions are derived, and the ideas of intraband and interband, both direct and indirect, optical transitions are discussed.

  • 11 - Scattering mechanisms and transport properties

  • Mikhail I. Katsnelson, Radboud Universiteit Nijmegen
  • Book:
    The Physics of Graphene
    Published online:
    24 May 2020
    Print publication:
    19 March 2020, pp 279-325

  • Summary

    The chapter presents a theory of electron transport in graphene and discussion of the corresponding experimental data. We start with the discussion of quantum and classical Boltzmann equations and Kubo–Nakano–Moti formula for the electric resistivity. Further, we discuss the main extrinsic scattering mechanicsms relevant for the transport (charge impurities, resonant impurities, static ripples), and intrinsic mobility. For the latter, the role of two-phonon processes invloving flexural phonons is especially emphasized. We also consider edge scattering in graphene nanoribbons. Further, we discuss nonlocal electron transport, weak localization effects, and hydrodynamics of electron liquid in graphene.