Phases of the Dirac determinant, Abelian Chern-Simons terms and Berry's phases in the field theoretic description of graphene

Physics – High Energy Physics – High Energy Physics - Theory

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6 pages, 1 figure, to appear in Proceedings of the XIII Conference Selected Problems in Mathematical and Theoretical Physics,

Scientific paper

This talk presents a study of massless relativistic Dirac fields in three Euclidean dimensions, at finite temperature and density, in the presence of a uniform electromagnetic background. Apart from explaining the behavior of Hall's conductivity for graphene, our results show a direct relationship between the selection of a phase for the Dirac determinant and the generation (or lack thereof) of Berry's phases and Chern-Simons terms.

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