Quantum Hall transport in graphene and its bilayer

Graphene has generated great interest in the scientific community since its discovery because of the unique chiral nature of its carrier dynamics. In monolayer graphene, the relativistic Dirac spectrum for the carriers results in an unconventional integer quantum Hall effect, with a peculiar Landau Level at zero energy. In bilayer graphene, the Dirac-like quadratic energy spectrum leads to an equally interesting, novel integer quantum Hall effect, with a eight-fold degenerate zero energy Landau level. In this thesis, we present transport studies at high magnetic field on both monolayer and bilayer graphene, with a particular emphasis on the quantum Hall (QH) effect at the charge neutrality point, where both systems exhibit broken symmetry of the degenerate Landau level at zero energy. We also present data on quantum Hall edge transport across the interface of a graphene monolayer and bilayer junction, where peculiar edge state transport is observed. We investigate the quantum Hall effect near the charge neutrality point in bilayer graphene, under high magnetic fields of up to 35~T using electronic transport measurements. In the high field regime, we observe a complete lifting of th