Crossed Andreev Reflection in Zigzag Phosphorene Nanoribbon Based Ferromagnet/Superconductor/Ferromagnet Junctions

We study the crossed Andreev reflection in zigzag phosphorene nanoribbon based ferromagnet/superconductor/ferromagnet junction. Only edge states, which are entirely detached from the bulk gap, involved in the transport process. The perfect crossed Andreev reflection, with the maximal nonlocal conductance −2e 2 /h, is addressed by setting the chemical potentials of the leads properly. At this situation, the local Andreev reflection and the electron tunneling are completely eliminated, the incoming electrons can only be reflected as electrons or transmitted as holes, corresponding to the electron reflection and the crossed Andreev reflection respectively. The nonlocal conductance oscillates periodically with the length and the chemical potential of the superconductor. Our study shows that the phosphorene based junction can be used as the quantum device to generate entangled-electrons.