Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-09-27
Europhys. Lett. 83, 17005 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
5 pages, 1 figure; Reply to the Comment by I.F. Herbut, V. Juricic, O. Vafek, and M.J. Case, "Comment on "Minimal conductivity
Scientific paper
10.1209/0295-5075/83/17005
Conductivity of a disorder-free intrinsic graphene is studied to the first order in the long-range Coulomb interaction and is found to be \sigma=\sigma_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).
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