Abstract
The conductance spectra of a graphene ribbon and graphene-superconductor (G-S) junctions are investigated, using the tight-binding model and non-equilibrium Green' function formalism. It is found that the quantized conductance related to graphene' edge-states is robust against perturbations in the model parameters for a graphene monolayer ribbon with the zigzag boundary. With appropriate model parameter of the spin-orbit interaction strength, a new bound state with odd-frequency symmetry is found in the G-S junction. An enhancement in the zero-energy conductance amplitude is followed.
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