2007/07/31 by Igor F. Herbut, Vladimir Juričić, Vladimir Juricic +1 · 5 citations
Engineering · Materials Science · Physics and Astronomy · #Graphene research and applications #Nanopore and Nanochannel Transport Studies #Thermal properties of materials #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.100.046403
published as Phys. Rev. Lett. 100 (2008) 046403 · 4 revtex pages, 2 figures; published version
arxiv created 2008/01/28 · openalex publication_date 2008/01/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We argue that the unscreened Coulomb interaction in graphene provides a positive, universal, and logarithmic correction to scaling of zero-temperature conductivity with frequency. The combined effect of the disorder due to wrinkling of the graphene sheet and the long-range electron-electron interactions is a finite positive contribution to the dc conductivity. This contribution is disorder strength dependent and thus nonuniversal. The low-energy behavior of such a system is governed by the line of fixed points at which both the interaction and disorder are finite, and the density of states is exactly linear. An estimate of the typical random vector potential representing ripples in graphene brings the theoretical value of the minimal conductivity into the vicinity of 4e2/h.