Transmission Coefficients for Ferromagnetic Tunnel Junctions with Single and Double Barriers

Abstract

One-dimensional ferromagnetic tunnel junctions with single and double barriers are studied, using the transfer matrix method, which is extended to spin-polarized systems. We obtain an analytical expression for the transmission coefficients. For single-barrier junctions, the transmission coefficient shows a deviation from a cosine dependence on the angle between the magnetizations. For double-barrier junctions, resonant tunneling phenomena are induced.