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High Energy Physics - Theory

arXiv:hep-th/0701095 (hep-th)
[Submitted on 10 Jan 2007 (v1), last revised 8 Mar 2007 (this version, v3)]

Title:The quantum Hall effect in graphene samples and the relativistic Dirac effective action

Authors:C.G. Beneventano, Paola Giacconi, E.M. Santangelo, Roberto Soldati
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Abstract: We study the Euclidean effective action per unit area and the charge density for a Dirac field in a two--dimensional spatial region, in the presence of a uniform magnetic field perpendicular to the 2D--plane, at finite temperature and density. In the limit of zero temperature we reproduce, after performing an adequate Lorentz boost, the Hall conductivity measured for different kinds of graphene samples, depending upon the phase choice in the fermionic determinant.
Comments: Conclusions extended. References added. 9 pages. 1 figure
Subjects: High Energy Physics - Theory (hep-th); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Mathematical Physics (math-ph)
Cite as: arXiv:hep-th/0701095
  (or arXiv:hep-th/0701095v3 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0701095
Journal reference: J.Phys.A40:F435-F442,2007
Related DOI: https://doi.org/10.1088/1751-8113/40/24/F01

Submission history

From: Eve Mariel Santangelo [view email]
[v1] Wed, 10 Jan 2007 17:28:39 UTC (17 KB)
[v2] Thu, 8 Mar 2007 18:56:30 UTC (18 KB)
[v3] Thu, 8 Mar 2007 21:16:30 UTC (18 KB)
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