A solvable model for spin-dependent electronic transmission of ferromagnetic nanowires

• Analytic description of spin-dependent conductance in ferromagnetic nanowires.
• Using Green׳s function and transfer matrix methods at tight-binding approach.
• Computing of spin-dependent self-energies due to existence of magnetic leads.
• Electronic transport ferromagnetic nanowires including magnetic defects.
• Electron reflection from an semi-infinite ferromagnetic chain.

We present an exact analytical method to calculate the electronic transmission coefficient of ferromagnetic nanowires based on Green׳s function theory and tight-binding approach. To this end, we obtain the spin-dependent self-energies of the nanowire due to the existence of ferromagnetic leads and derive the elements of system Green׳s function matrix. Spin-dependent electron transport via some configurations of a ferromagnetic nanowire including magnetic defects is investigated in detail. Further, we analyze the electron reflection from an ideal semi-infinite magnetic chain with different moments at the edge. The results can be useful to simulate and develop magnetic and spintronic nano-devices.