Charge density and conductivity of disordered Berry-Mondragon graphene nanoribbons

  • Carlota G. Beneventano
  • Ignat Fialkovsky
  • Eve Mariel Santangelo
  • Dmitri V. Vassilevich
Regular Article

Abstract

We consider gated graphene nanoribbons subject to Berry-Mondragon boundary conditions in the presence of weak impurities. Using field-theoretical methods, we calculate the density of charge carriers (and, thus, the quantum capacitance) as well as the optical and DC conductivities at zero temperature. We discuss in detail their dependence on the gate (chemical) potential, and reveal a non-linear behaviour induced by the quantization of the transversal momentum.

Keywords

Solid State and Materials 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Carlota G. Beneventano
    • 1
  • Ignat Fialkovsky
    • 2
  • Eve Mariel Santangelo
    • 1
  • Dmitri V. Vassilevich
    • 2
  1. 1.Departamento de FísicaUniversidad Nacional de La Plata, Instituto de Física de La Plata, CONICET–Universidad Nacional de La PlataLa PlataArgentina
  2. 2.CMCC-Universidade Federal do ABCSanto André, S.P.Brazil

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