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

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.

Conclusions extended. References added. 9 pages. 1 figure

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Cited by in corpus (14)

• Parity-odd effects and polarization rotation in graphene
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• Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene
• Creation of planar charged fermions in Coulomb and Aharonov-Bohm potentials
• Thermodynamic Properties of Graphene in Magnetic Field and Rashba Coupling
• Charge density and conductivity of disordered Berry-Mondragon graphene nanoribbons
• Graphene transparency in weak magnetic fields
• Quantum Hall effect in graphene: A functional determinant approach
• 2D massless QED Hall half-integer conductivity and graphene
• Zeroes of combinations of Bessel functions and mean charge of graphene nanodots
• On the mystery of the missing pie in graphene
• Chiral magnetic effect at finite temperature in a field-theoretic approach
• The Berry phase and the phase of the determinant
• Nondiagonal Graphene Conductivity in the Presence of In-Plane Magnetic Fields