Coulomb interaction, ripples, and the minimal conductivity of graphene

dc.creatorHerbut, Igor F.
dc.creatorJuricic, Vladimir
dc.creatorVafek, Oskar
dc.date2007-07-27
dc.date2008-01-28
dc.date.accessioned2026-07-07T08:56:21Z
dc.date.available2026-07-07T08:56:21Z
dc.descriptionWe 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 non-universal. 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 4e^2/h.
dc.description4 revtex pages, 2 figures; published version
dc.identifierhttps://arxiv.org/abs/0707.4171
dc.identifierhttp://arxiv.org/abs/0707.4171
dc.identifierPhys. Rev. Lett. 100 (2008) 046403
dc.identifierdoi:10.1103/PhysRevLett.100.046403
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146580
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.titleCoulomb interaction, ripples, and the minimal conductivity of graphene
dc.typetext

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