RKKY interaction in Rashba altermagnets
arxiv(2024)
摘要
The interaction between two impurity spins provides vital information about
the host system and has been suggested to form a building block in quantum
computation and spintronic devices. We here determine this
Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in recently discovered
altermagnetic materials, including the presence of an exchange field and Rashba
spin-orbit coupling in the case where the impurities are placed on an
altermagnetic surface. We provide exact analytical expressions for the RKKY
interaction to second order in the spin coupling parameter. Our results reveal
that the momentum-resolved spin-polarization of the itinerant carriers in the
altermagnet changes the RKKY interaction qualitatively from the isotropic
spin-splitting in a ferromagnet. The Ising-contribution directed parallel with
the altermagnetism is found to exhibit a beating pattern reflecting the shape
of the Fermi surface of the system and may thus be further influenced by an
out-of-plane exchange field. However, the exchange interaction for in-plane
impurity spins deviates only slightly from that of a normal metal. On shorter
length scales, we find that the Ising, the Dzyaloshinskii-Moriya terms, and
other non-collinear interaction terms in the RKKY interaction acquire a rapidly
oscillating behavior as a function of the relative angle between the impurity
spins, which is not present in the ferromagnetic case. We determine how this
new length scale depends on the system parameters analytically. Our results
show that the RKKY interaction in altermagnets is qualitatively different from
that of ferromagnets despite both breaking time-reversal symmetry.
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