Conductivity of interacting massless Dirac particles in graphene: Collisionless regime

Details Conductivity of interacting massless Dirac particles in graphene: Collisionless regime Conductivity of interacting massless Dirac particles in graphene: Collisionless regime

2010-09-16

arxiv.org/abs/1009.3269v2

Phys.Rev.B82:235402,2010

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

32 pages, no figures, published version

Scientific paper

10.1103/PhysRevB.82.235402

We provide detailed calculation of the a.c. conductivity in the case of 1/r-Coulomb interacting massless Dirac particles in graphene in the collisionless limit when \omega >> T. The analysis of the electron self-energy, current vertex function and polarization function, which enter into the calculation of physical quantities including the a.c. conductivity, is carried out by checking the Ward-Takahashi identities associated with the electrical charge conservation and making sure that they are satisfied at each step. We adopt a variant of the dimensional regularization of Veltman and t'Hooft by taking the spatial dimension D=2-\epsilon, for \epsilon > 0. The procedure adopted here yields a result for the conductivity correction which, while explicitly preserving charge conservation laws, is nevertheless different from the results reported previously in literature.

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