Minimal conductivity in graphene: interaction corrections and ultraviolet anomaly

dc.creatorMishchenko, E. G.
dc.date2007-09-27
dc.date2009-02-25
dc.date.accessioned2026-07-07T12:46:00Z
dc.date.available2026-07-07T12:46:00Z
dc.descriptionConductivity of a disorder-free intrinsic graphene is studied to the first order in the long-range Coulomb interaction and is found to be σ=σ_0(1+0.01 g), where 'g' is the dimensionless ("fine structure") coupling constant. The calculations are performed using three different methods: i) electron polarization function, ii) Kubo formula for the conductivity, iii) quantum transport equation. Surprisingly, these methods yield different results unless a proper ultraviolet cut-off procedure is implemented, which requires that the interaction potential in the effective Dirac Hamiltonian is cut-off at small distances (large momenta).
dc.description5 pages, 1 figure; Reply to the Comment by I.F. Herbut, V. Juricic, O. Vafek, and M.J. Case, "Comment on "Minimal conductivity in graphene: Interaction corrections and ultraviolet anomaly" by Mishchenko E. G.", arXiv:0809.0725, is added in Appendix
dc.identifierhttps://arxiv.org/abs/0709.4245
dc.identifierhttp://arxiv.org/abs/0709.4245
dc.identifierEurophys. Lett. 83, 17005 (2008)
dc.identifierdoi:10.1209/0295-5075/83/17005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221236
dc.subjectMesoscale and Nanoscale Physics
dc.titleMinimal conductivity in graphene: interaction corrections and ultraviolet anomaly
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