Single-layer and bilayer graphene are new classes of two-dimensional electron systems
with unconventional band structures and valley degrees of freedom. The ground states and …

Experiments on the fractional quantized Hall effect in the zeroth Landau level of graphene
have revealed some striking differences between filling factors in the ranges 0<| ν|< 1 and …

Because of the spin and Dirac-valley degrees of freedom, graphene allows the observation
of one-, two-or four-component fractional quantum Hall effects in different parameter regions …

Graphene is a two-dimensional carbon material with a honeycomb lattice and Dirac-type low-
energy spectrum. In a strong magnetic field, where Coulomb interactions dominate against …

We report results of exact diagonalization studies of the spin-and valley-polarized fractional
quantum Hall effect in the N= 0 and N= 1 Landau levels in graphene. We use an effective …

Analytical expressions for the Hall conductivity σ yx and the longitudinal resistivity ρ xx are
derived in gapped, single-layer graphene using linear response theory. The gap 2 Δ …

Electrons in graphene have four flavors associated with low-energy spin and valley degrees
of freedom. The fractional quantum Hall effect in graphene is dominated by long-range …

Due to its fourfold spin-valley degeneracy, graphene in a strong magnetic field may be
viewed as a four-component quantum Hall system. We investigate the consequences of this …

We study the competition between the long-range Coulomb interaction, disorder scattering,
and lattice effects in the integer quantum Hall effect (IQHE) in graphene. By direct transport …

Graphene exhibits quantum Hall ferromagnetism in which an approximate SU (4) symmetry
involving spin and valley degrees of freedom is spontaneously broken. We construct a set of …