Volume 83, Number 1, July 2008
|Number of page(s)||5|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||12 June 2008|
Minimal conductivity in graphene: Interaction corrections and ultraviolet anomaly
Department of Physics, University of Utah - Salt Lake City, UT 84112, USA
Corresponding author: firstname.lastname@example.org
Accepted: 7 May 2008
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 =σ0(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).
PACS: 73.23.-b – Electronic transport in mesoscopic systems / 73.25.+i – Surface conductivity and carrier phenomena
© EPLA, 2008
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