1,721,108 research outputs found
THE QUANTUM HALL EFFECT IN GRAPHENE
No full textWe investigate the quantum Hall effect in graphene. We argue that in graphene in presence of an external magnetic field there is dynamical generation of mass by a rearrangement of the Dirac sea. We show that the mechanism breaks the lattice valley degeneracy only for the n = 0 Landau levels and leads to the new observed nu = +/- 1 quantum Hall plateaus. We suggest that our result can be tested by means of numerical simulations of planar Quantum Electro Dynamics with dynamical fermions in an external magnetic fields on the lattice
Vacuum stability for Dirac fermions in three dimensions
No full textI investigate three-dimensional Abelian and non-Abelian gauge theories interacting with Dirac fermions. Using a variational method I evaluate the vacuum energy density in the one-loop approximation. It turns out that the states with a constant magnetic condensate lie below the perturbative ground state only in the case of three-dimensional quantum electrodynamics with massive fermions
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