Theory of the valley-valve effect in graphene nanoribbons

Details Theory of the valley-valve effect in graphene nanoribbons Theory of the valley-valve effect in graphene nanoribbons

2007-12-19

arxiv.org/abs/0712.3233v3

Phys. Rev. B vol. 77, 205416, 2008

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 6 figures, v3 added more numerical data and an appendix with details of the calculation

Scientific paper

10.1103/PhysRevB.77.205416

A potential step in a graphene nanoribbon with zigzag edges is shown to be an intrinsic source of intervalley scattering -- no matter how smooth the step is on the scale of the lattice constant a. The valleys are coupled by a pair of localized states at the opposite edges, which act as an attractor/repellor for edge states propagating in valley K/K'. The relative displacement Delta along the ribbon of the localized states determines the conductance G. Our result G=(e^{2}/h)[1-\cos(N\pi+2\pi\Delta/3a)] explains why the ``valley-valve'' effect (the blocking of the current by a p-n junction) depends on the parity of the number N of carbon atoms across the ribbon.

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