473 citations · 1.1k across the 4 of their papers we have counts for
4 papers
Conformal Invariance and Shape-Dependent Conductance of Graphene Samples
Dmitry A. Abanin, Leonid S. Levitov
For a sample of an arbitrary shape, the dependence of its conductance on the longitudinal and Hall conductivity is identical to that of a rectangle. We use analytic results for a c…
Charge and Spin Transport at the Quantum Hall Edge of Graphene
Dmitry A. Abanin, Patrick A. Lee, Leonid S. Levitov
Landau level bending near the edge of graphene, described using 2d Dirac equation, provides a microscopic framework for understanding the quantum Hall Effect (QHE) in this material…
Electronic transport and quantum Hall effect in bipolar graphene p-n-p junction
Barbaros Özyilmaz, Pablo Jarillo-Herrero, Dmitri Efetov +3
We have developed a device fabrication process to pattern graphene into nanostructures of arbitrary shape and control their electronic properties using local electrostatic gates. E…
Quantized Transport in Graphene p-n Junctions in Magnetic Field
D. A. Abanin, L. S. Levitov
Recent experimental work on locally gated graphene layers resulting in p-n junctions have revealed quantum Hall effect in their transport behavior. We explain the observed conducta…