Quantum Goos-Hanchen effect in graphene

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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5 pages, 6 figures; expanded version of the published paper (one extra page, one extra figure), including also a reference to

Scientific paper

10.1103/PhysRevLett.102.146804

The Goos-Hanchen (GH) effect is an interference effect on total internal reflection at an interface, resulting in a shift sigma of the reflected beam along the interface. We show that the GH effect at a p-n interface in graphene depends on the pseudospin (sublattice) degree of freedom of the massless Dirac fermions, and find a sign change of sigma at angle of incidence alpha*=arcsin[sin alpha_c]^1/2 determined by the critical angle alpha_c for total reflection. In an n-doped channel with p-doped boundaries the GH effect doubles the degeneracy of the lowest propagating mode, introducing a two-fold degeneracy on top of the usual spin and valley degeneracies. This can be observed as a stepwise increase by 8e^2/h of the conductance with increasing channel width.

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