Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-07-19
Phys. Rev. B 76, 235425 (2007)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
final version, Phys. Rev. B, accepted
Scientific paper
10.1103/PhysRevB.76.235425
A system of generalized kinetic equations for the distribution functions of two-dimensional Dirac fermions scattered by impurities is derived in the Born approximation with respect to short-range impurity potential. It is proven that the conductivity following from classical Boltzmann equation picture, where electrons or holes have scattering amplitude reduced due chirality, is justified except for an exponentially narrow range of chemical potential near the conical point. When in this range, creation of infinite number of electron-hole pairs related to quasi-relativistic nature of electrons in graphene results in a renormalization of minimal conductivity as compared to the Boltzmann term and logarithmic corrections in the conductivity similar to the Kondo effect.
Auslender Mark
Katsnelson Mikhail I.
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