Interlayer magnetoconductance of misoriented bilayer graphene ribbons

The coherent, interlayer conductance of misoriented bilayer graphene ribbons is a strong function of the Fermi energy and magnetic field. Edge states can result in a large peak in the interlayer transmission at the charge neutrality point that is several orders of magnitude larger than the surrounding low-energy transmission. The coherent interlayer conductance is consistently asymmetric around the charge neutrality point for all structures with the value differing by up to 3 orders of magnitude at Ef = ±0.05 eV. The low-energy states exhibit a high magnetoconductance ratio, and the magnetoconductance ratio tends to increase as the width of the ribbons decrease. The maximum value for the 35 nm wide bilayer ribbons at 10 T is 15 000%. Non-equilibrium Green's function calculations of the interlayer transport properties are also supported by semi-analytical calculations based on Fermi's Golden Rule.