Massive Dirac fermions and the zero field quantum Hall effect

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dc.creatorRaya, Alfredo
dc.creatorReyes, Edward D.
dc.date2008-07-04
dc.date.accessioned2026-07-07T11:52:18Z
dc.date.available2026-07-07T11:52:18Z
dc.descriptionThrough an explicit calculation for a Lagrangian in quantum electrodynamics in (2+1)-space--time dimensions (QED$_3$), making use of the relativistic Kubo formula, we demonstrate that the filling factor accompanying the quantized electrical conductivity for massive Dirac fermions of a single species in two spatial dimensions is a half (in natural units) when time reversal and parity symmetries of the Lagrangian are explicitly broken by the fermion mass term. We then discuss the most general form of the QED$_3$ Lagrangian, both for irreducible and reducible representations of the Dirac matrices in the plane, with emphasis on the appearance of a Chern-Simons term. We also identify the value of the filling factor with a zero field quantum Hall effect (QHE).
dc.description15 pages. Accepted in Jour. Phys. A
dc.identifierhttps://arxiv.org/abs/0807.0829
dc.identifierhttp://arxiv.org/abs/0807.0829
dc.identifierJ.Phys.A41:355401,2008
dc.identifierdoi:10.1088/1751-8113/41/35/355401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204187
dc.subjectHigh Energy Physics - Theory
dc.subjectMesoscale and Nanoscale Physics
dc.titleMassive Dirac fermions and the zero field quantum Hall effect
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