Toward a theory of the quantum Hall effect in graphene

2007/10/31 by É. V. Gorbar, E. V. Gorbar, V. P. Gusynin +1 · 4 citations
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall #hep-th

paper · pdf · doi:10.1063/1.2981388

published as LowTemp.Phys.34:790,2008 · 5 pages, no figures, v.2: to match published version

openalex publication_date 2008/10/01 · arxiv created 2008/11/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Zero-Energy State in Graphene in a High Magnetic Field
• Electric Field Effect in Atomically Thin Carbon Films

Cited by

• Gravity dual of a quantum Hall plateau transition
• 2D massless QED Hall half-integer conductivity and graphene
• Divergent resistance at the Dirac point in graphene: Evidence for a transition in a high magnetic field
• Magnetic Catalysis: A Review