Eur. Phys. J. B (2014) 87: 50
https://doi.org/10.1140/epjb/e2014-40990-x

Regular Article

Charge density and conductivity of disordered Berry-Mondragon graphene nanoribbons

¹ Departamento de Física, Universidad Nacional de La Plata, Instituto de Física de La Plata, CONICET–Universidad Nacional de La Plata, C.C. 67, 1900 La Plata, Argentina
² CMCC-Universidade Federal do ABC, Santo André, S.P., Brazil

^a e-mail: ifialk@gmail.com

Received: 7 November 2013
Published online: 3 March 2014

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.