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Robust transport properties in graphene.

K Ziegler1

  • 1Institut für Physik, Universität Augsburg, D-86135 Augsburg, Germany. Klaus.Ziegler@Physik.Uni-Augsburg.de

Physical Review Letters
|February 7, 2007
PubMed
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Impurity scattering in graphene creates diffusing quasiparticles, explaining the absence of weak localization. Despite decreasing diffusion with disorder, a robust minimal conductivity persists due to compensating delocalized states.

Area of Science:

  • Condensed matter physics
  • Materials science
  • Quantum mechanics

Background:

  • Graphene exhibits unique electronic properties due to its two-dimensional Dirac fermions.
  • Impurity scattering significantly influences charge transport in materials.
  • Weak localization is a quantum interference effect observed in disordered conductors.

Purpose of the Study:

  • To investigate the impact of impurity scattering on quasiparticles in graphene.
  • To explain the lack of observed weak localization in recent graphene experiments.
  • To analyze the relationship between diffusion, disorder, and conductivity in graphene.

Main Methods:

  • Theoretical analysis using two-dimensional Dirac fermions.
  • Application of the Kubo formalism to calculate transport properties.

Related Experiment Videos

  • Modeling impurity scattering effects on quasiparticle diffusion.

    • Main Results:

    • Transport properties in graphene are dominated by diffusion under impurity scattering.
    • The diffusion coefficient of quasiparticles strongly decreases with increasing disorder.
    • A robust minimal conductivity, independent of disorder, was found.
    • This minimal conductivity arises from the interplay between diffusion coefficient and delocalized states.

    Conclusions:

    • The diffusion-dominated transport explains the absence of weak localization in graphene experiments.
    • Graphene's minimal conductivity is a robust feature, resilient to disorder.
    • The findings highlight the complex interplay of quantum phenomena in two-dimensional materials.