Посилання:Toward theory of quantum Hall effect in graphene / E.V. Gorbar, V.P. Gusynin, V.A. Miransky // Физика низких температур. — 2008. — Т. 34, № 10. — С. 1007-1011. — Бібліогр.: 35 назв. — англ.
Підтримка:Useful discussions with S.G. Sharapov and I.A. Shovkovy
are acknowledged. The work of E.V.G. and V.P.G. was
supported by the SCOPES-project IB 7320-110848 of the
Swiss NSF, the grant 10/07-H «Nanostructure systems, nanomaterials,
nanotechnologies», and by the Program of
Fundamental Research of the Physics and Astronomy Division
of the National Academy of Ukraine. V.A.M. acknowledges
the support of the Natural Sciences and Engineering
Research Council of Canada.
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 ferromagnetism dynamics and those
connected with the magnetic catalysis dynamics necessarily coexist (the latter have the form of Dirac masses
and correspond to excitonic condensates). This feature of graphene could lead to important consequences, in
particular, for the existence of gapless edge states. Solutions of the gap equation corresponding to recently
experimentally discovered novel plateaus in graphene in strong magnetic fields are described.