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We demonstrate that giant current and high spin rectification ratios can beachieved in atomic carbon chain devices connected between two symmetricferromagnetic zigzag-graphene-nanoribbon electrodes. The spin dependenttransport simulation is carried out by density functional theory combined withthe non-equilibrium Green's function method. It is found that the transversesymmetries of the electronic wave functions in the nanoribbons and the carbonchain are critical to the spin transport modes. In the parallel magnetizationconfiguration of two electrodes, pure spin current is observed in both linearand nonlinear regions. However, in the antiparallel configuration, the spin-up(down) current is prohibited under the positive (negative) voltage bias, whichresults in a spin rectification ratio of order 104. When edge carbon atoms aresubstituted with boron atoms to suppress the edge magnetization in one of theelectrodes, we obtain a diode with current rectification ratio over 10e6.

High performance current and spin diode of atomic carbon chain between transversely symmetric ribbon electrodes