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

2008/09/28 by E. M. Santangelo, Santangelo, E. M.
Materials Science · Mathematics · Chemistry · #Graphene research and applications #Graph theory and applications #Fullerene Chemistry and Applications

paper · pdf · doi:10.48550/arxiv.0809.4844

Abstract

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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