Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-01-04
J.Phys.A42:275401,2009
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, no figures. Minor misprints corrected. Final version, to appear in J. Phys. A: Math. Gen
Scientific paper
10.1088/1751-8113/42/27/275401
We study 1-loop effects for massless Dirac fields in two spatial dimensions, coupled to homogeneous electromagnetic backgrounds, both at zero and at finite temperature and density. In the case of a purely magnetic field, we analyze the relationship between the invariance of the theory under large gauge transformations, the appearance of Chern-Simons terms and of different Berry's phases. In the case of a purely electric background field, we show that the effective Lagrangian is independent of the chemical potential and of the temperature. More interesting: we show that the minimal conductivity, as predicted by the quantum field theory, is the right multiple of the conductivity quantum and is, thus, consistent with the value measured for graphene, with no extra factor of pi in the denominator.
Beneventano C. G.
Giacconi Paola
Santangelo Eve Mariel
Soldati Roberto
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