Using the modified total energy approach of Bruno, we prove that for the transition metal or rare-earth superlattices the additional scattering of free electrons on magnetic ion multipole moment gives rise to ferroquadrupolar biquadratic coupling between magnetic layers. We show that in this novel, intrinsic mechanism, the anisotropy of the magnetoresistivity should manifest itself.
We study magnetic effects in a trilayer formed of magnetic layers separated by a spacer with a parabolic potential profile. The focus is on mechanisms of indirect magnetic interactions within the spacer. We show existence of magnetic oscillations and novel type of magnetoelectric effect.
The direct observations of some MBE grown superlattices show large interfacial undulations, which is attributed to the elastic relaxation of tensile layers. Assuming that the interface lateral lattice deformation, due to ionic radii misfit, is given by the periodic solution of the Frenkel-Kontorova model, we calculate the magnetoelastic contribution to the biquadratic magnetic coupling between ferromagnetic layers across the nonmagnetic spacer. We show that due to the correlated modulations of the effective bilinear exchange integral, there arises a biquadratic exchange which favours perpendicular orientations of magnetization in adjacent ferromagnetic layers.
We show that in magnetic metallic superlattices along with the bilinear RKKY-reminiscent interaction between magnetic superlattices there can be an important quadrupole-quadrupole coupling. In an analytical way we derive the range functions of the quadrupol-quadrupole interaction and discuss its relation to magnetoresistivity.
Assuming that quantum dots are treated as artificial impurities we consider the Ruderman-Kittel-Kasuya-Yosida interaction between their localized magnetic moments. We prove that due to the quantum confinement the carriers that mediate interactions can exhibit fractional spectral dimension. Basing on this result we discuss magnetic interactions in coupled system of quantum dots and leads.
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