Theory of integer quantum Hall effect in graphene
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TLDR
In this article, the Coulomb interaction on the scale of lattice constant was used to explain the Hall conductivity in graphene at high magnetic fields, and it was predicted that at a large in-plane component of the magnetic field such ordering may be present only at the filling factor $f=\ifmmode\pm\pm/else\textpm\fi{}1$ and absent otherwise.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 $f=\ifmmode\pm\else\textpm\fi{}1$ and absent otherwise. Other experimental consequences of the theory are outlined.read more
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The electronic properties of bilayer graphene.
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Electronic properties of graphene in a strong magnetic field
TL;DR: In this paper, the basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong perpendicular magnetic field are reviewed, and the role of electron-electron interactions both in the weak coupling limit, where the electron-hole excitations are determined by collective modes, and in the strong coupling regime of partially filled relativistic Landau levels, where exotic ferromagnetic phases and incompressible quantum liquids are expected to be at the origin of recently observed (fractional) quantum Hall states.