External gates and transport in biased bilayer graphene

2008/11/30 by Dimitrie Culcer, R. Winkler · 22 citations
Chemistry · Engineering · Materials Science · Physics and Astronomy · #Bilayer #Bilayer graphene #Chemistry #Coherence (philosophical gambling strategy) #Condensed matter physics #Conductivity #Electrical resistivity and conductivity #Graphene #Graphene research and applications #Kinetic energy #Materials science #Membrane #Molecular Junctions and Nanostructures #Momentum (technical analysis) #Monolayer #Nanopore and Nanochannel Transport Studies #Nanotechnology #Physics #Quantum mechanics #Quantum tunnelling #Scattering #Scattering rate #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.79.165422

published in Physical Review B 79(16) (American Physical Society) · 6 pages, accepted for publication in Physical Review B

arxiv created 2009/03/02 · openalex publication_date 2009/04/15 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We formulate a theory of transport in graphene bilayers in the weak momentum scattering regime in such a way as to take into account contributions to the electrical conductivity to leading and next-to-leading order in the scattering potential. The response of bilayers to an electric field cannot be regarded as a sum of terms due to individual layers. Rather, interlayer tunneling and coherence between positive- and negative-energy states give the main contributions to the conductivity. At low energies, the dominant effect of scattering on transport comes from scattering within each energy band, yet a simple picture encapsulating the role of collisions in a set of scattering times is not applicable. Coherence between positive- and negative-energy states gives, as in monolayers, a term in the conductivity which depends on the order of limits. The application of an external gate, which introduces a gap between positive- and negative-energy states, does not affect transport. Nevertheless, the solution to the kinetic equation in the presence of such a gate is very revealing for transport in both bilayers and monolayers.

Citations

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