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RKKY-Reminiscent Interaction in Net Fractals

100%
EN
We define a specific class of fractals as "net fractals" and prove that in the logarithmic scale they are isomorphic with some bulk crystals. Furthermore, with the use of logarithmic coordinates, we prove that in the "net fractal" magnetic system the indirect exchange, by itinerant electrons can be presented in the form that is reminiscent of the Ruderman-Kittel-Kasuya-Yosida interaction characteristic of a system of fractional spectral dimension.
EN
In this contribution, we will discuss the effect of interface misfit strain on magnetic coupling of ferromagnetic layers, across intervening, metallic spacer in the epitaxial superlattice system. We calculate the interface lateral lattice deformation, due to ionic radii misfit within the Frenkel-Kontorova model and derive its influence on surface magnetic anisotropy and electronic properties of the nonmagnetic spacer. We will study also the origin of the interface magnetoelastic asymmetry in superlattices and its effect on magnetic coupling between magnetic layers. Also the magnetoelastic contribution to the in-plane exchange coupling is widely discussed.
3
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RKKY Interaction in Coupled Quantum Dots

51%
EN
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.
EN
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.
5
51%
EN
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.
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