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Theory of integer quantum Hall effect in graphene

2006/10/31 by Igor F. Herbut · 4 citations
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.75.165411

published as Physical Review B, vol. 75, 165411 (2007) · 5 pages, 2 figures, new paragraph on hierarchy of energy scales, new references, published version

arxiv created 2007/04/18 · openalex publication_date 2007/04/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The observed quantization of the Hall conductivity in graphene at high magnetic fields is explained as being due to the dynamically generated spatial modulation of either the electron spin or the density, as decided by the details of Coulomb interaction on the scale of lattice constant. It is predicted that at a large in-plane component of the magnetic field such ordering may be present only at the filling factor f=\ifmmode±\else\textpm\fi1 and absent otherwise. Other experimental consequences of the theory are outlined.

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