Dynamics in the quantum Hall effect and the phase diagram of graphene

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dc.creatorGorbar, E. V.
dc.creatorGusynin, V. P.
dc.creatorMiransky, V. A.
dc.creatorShovkovy, I. A.
dc.date2008-06-04
dc.date2008-08-28
dc.date.accessioned2026-07-07T11:44:48Z
dc.date.available2026-07-07T11:44:48Z
dc.descriptionThe dynamics responsible for lifting the degeneracy of the Landau levels in the quantum Hall (QH) effect in graphene is studied by utilizing a low-energy effective model with a contact interaction. A detailed analysis of the solutions of the gap equation for Dirac quasiparticles is performed at both zero and nonzero temperatures. The characteristic feature of the solutions is that the order parameters connected with the QH ferromagnetism and magnetic catalysis scenarios necessarily coexist. The solutions reproduce correctly the experimentally observed novel QH plateaus in graphene in strong magnetic fields. The phase diagram of this system in the plane of temperature and electron chemical potential is analyzed. The phase transitions corresponding to the transitions between different QH plateaus in graphene are described.
dc.description40 pages, 11 figures. v.2: Phys. Rev. B version
dc.identifierhttps://arxiv.org/abs/0806.0846
dc.identifierhttp://arxiv.org/abs/0806.0846
dc.identifierPhys.Rev.B78:085437,2008
dc.identifierdoi:10.1103/PhysRevB.78.085437
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201678
dc.subjectMesoscale and Nanoscale Physics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleDynamics in the quantum Hall effect and the phase diagram of graphene
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