vix.ing · top · new · best · stats · spec

Graphene via largeN: A renormalization group study

2008/02/03 by Matthew S. Foster, I. L. Aleǐner, Igor L. Aleiner · 2 citations
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.dis-nn

paper · pdf · doi:10.1103/physrevb.77.195413

published as Phys. Rev. B 77, 195413 (2008) · 25 pages, 21 figures

arxiv created 2008/02/03 · openalex publication_date 2008/05/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We analyze the competing effects of moderate to strong Coulomb electron-electron interactions and weak quenched disorder in graphene. By using a one-loop renormalization group calculation controlled within the large-N approximation, we demonstrate that at successively lower energy (temperature or chemical potential) scales, a type of non-Abelian vector potential disorder always asserts itself as the dominant elastic scattering mechanism for generic short-ranged microscopic defect distributions. Vector potential disorder is tied to both elastic lattice deformations (``ripples'') and topological lattice defects. We identify several well-defined scaling regimes, for which we provide scaling predictions for the electrical conductivity and thermopower, valid when the inelastic lifetime due to interactions exceeds the elastic lifetime due to disorder. Coulomb interaction effects should strongly figure into the physics of suspended graphene films, where rs>1; we expect the vector potential disorder to play an important role in the description of transport in such films.

Citations

Cited by