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Gap generation for Dirac fermions on Lobachevsky plane in a magnetic field
E. V. Gorbar, V. P. Gusynin
We study symmetry breaking and gap generation for fermions in the 2D space of constant negative curvature (the Lobachevsky plane) in an external covariantly constant magnetic field…
Toward theory of quantum Hall effect in graphene
E. V. Gorbar, V. P. Gusynin, V. A. Miransky
We analyze a gap equation for the propagator of Dirac quasiparticles and conclude that in graphene in a magnetic field, the order parameters connected with the quantum Hall ferroma…
Magneto-optical conductivity in Graphene
V. P. Gusynin, S. G. Sharapov, J. P. Carbotte
Landau level quantization in graphene reflects the Dirac nature of its quasiparticles and has been found to exhibit an unusual integer quantum Hall effect. In particular the lowest…
Sum Rules for the Optical and Hall Conductivity in Graphene
V. P. Gusynin, S. G. Sharapov, J. P. Carbotte
Graphene has two atoms per unit cell with quasiparticles exhibiting the Dirac-like behavior. These properties lead to interband in addition to intraband optical transitions and mod…