Abstract
AbstractThe exchange interaction between two magnetic moments embedded in a host metal is fundamental to the description of the magnetic behavior of solids. In the standard spin‐degenerate electron gas, it leads to the well known Ruderman–Kittel–Kasuya–Yoshida (RKKY) interaction, which is of the Heisenberg form . Here, we study the more general case of the spin‐polarized electron gas both in two and three dimensions, by evaluating the interaction strength as an integration over the product of the host Green's functions. We find that an additional Ising‐like term appears in the magnetic interaction, so that the net interaction for the spin‐polarized gas is of the form . The anisotropic interaction is due to the broken rotational symmetry because of the spin polarization in the direction. Furthermore, the interaction shows a beating pattern as a function of distance, caused by the two different Fermi momenta for the two spins.
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