2007/09/30 by E. G. Mishchenko
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Graphene research and applications #Thermal properties of materials #cond-mat.mes-hall
paper · pdf · doi:10.1209/0295-5075/83/17005
published as Europhys. Lett. 83, 17005 (2008) · 5 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
openalex publication_date 2008/06/12 · arxiv created 2009/02/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
Conductivity 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+0.01g), 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).