X. Yang et al., TUNNELING MAGNETORESISTANCE IN FERROMAGNET INSULATOR/FERROMAGNET JUNCTIONS/, International journal of modern physics b, 11(28), 1997, pp. 3375-3384
A delta-type potential with complex prefactor is modeled on the tunnel
ing barrier of a thin insulator (I) film separating two ferromagnetic
(FM) films. By matching value and slope of wave functions across the t
unneling barrier of a FM/I/FM junction, we obtain a general expression
for tunneling conductance as a function of relative orientation theta
between magnetizations of the two ferromagnets, barrier height and in
terface roughness. It is shown that the magnitude of tunneling magneto
resistance is strongly dependent on theta, but much less affected by t
he barrier height and the interface roughness.