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2 results

  • 3 - Quantum transport via evanescent waves

  • Mikhail I. Katsnelson, Radboud Universiteit Nijmegen
  • Book:
    The Physics of Graphene
    Published online:
    24 May 2020
    Print publication:
    19 March 2020, pp 63-76

  • Summary

    The chapter explains a physics of minimal conductivity in graphene. It is shown that a new type of electronic transport arises in graphene, namely, electron tunneling via zero modes of Dirac operator. The relation to Zitterbewegung concept of relativistic quantum mechanics is demonstrated. We calculate the value of minuimal conductivity and shot noise in the neutrality point, and consider Aharonov–Bohm effect in undoped graphene rings.

  • 15 - Many-body effects in graphene

  • Mikhail I. Katsnelson, Radboud Universiteit Nijmegen
  • Book:
    The Physics of Graphene
    Published online:
    24 May 2020
    Print publication:
    19 March 2020, pp 389-400

  • Summary

    In this chapter, we discuss how to build effective many-body models starting from first principles electronic structure calculations and apply this general approach to graphene. We present quantitative results for the Fermi velocity renormalization, which were preliminary announced in Chapter 8. After that, we discuss many-body effects in graphene electron spectrum, static screening, and optical conductivity based on the results of lattice quantum Monte Carlo simulations. At the end, we consider many-body renormalization of minimal conductivity in graphene within the concept of environment-induced suppression of quantum tunneling.