2007/10/31 by C G Beneventano, C. G. Beneventano, E. M. Santangelo · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Graphene research and applications #Noncommutative and Quantum Gravity Theories #Quantum and electron transport phenomena #cond-mat.mes-hall #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/1751-8113/41/16/164035
published as J.Phys.A41:164035,2008 · Talk given at QFEXT07, Leipzig, Germany; discussion on the connection between phase of the determinant, Chern Simons and Berry's phase extended. Final version, to appear in Journal of Physics A
arxiv created 2008/01/20 · openalex publication_date 2008/04/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We start the paper with a brief presentation of the main characteristics of graphene, and of the Dirac theory of massless fermions in 2+1 dimensions obtained as the associated low-momentum effective theory, in the absence of external fields. We then summarize the main steps needed to obtain the Hall conductivity in the effective theory at finite temperature and density, with emphasis on its dependence on the phase of the Dirac determinant selected during the evaluation of the effective action. Finally, we discuss the behavior, under gauge transformations, of the contribution due to the lowest Landau level, and interpret gauge transformations as rotations of the corresponding spinors around the magnetic field.