Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2012-02-07
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
14 pages
Scientific paper
Superlattices (SLs) in monolayer and bilayer graphene lead to extra finite energy and zero energy Dirac fermions with tunable anisotropic velocities. We theoretically show that transport in a weak perpendicular (orbital) magnetic field allows one to not only probe the number of Dirac points but also yields further information about their dispersion. We find that a moderate magnetic field in monolayer graphene can lead to a strong reversal of the transport anisotropy imposed by the SL potential, due to the SL induced dispersion of the zero energy Landau levels. This effect may find useful device applications. For bilayer graphene, we discuss the structure of Landau level wave functions and local density of states in the presence of a uniform bias, as well as in the presence of a kink in the bias which leads to topologically bound 'edge states'. We consider implications for valley filtering and impurity induced breakdown of the quantum Hall effect in bilayer graphene.
Killi Matthew
Paramekanti Arun
Wu Si
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