Abstract
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The gate-controllable Ruderman-Kittel-Kasuya-Yosida RKKY magnetic interaction between the
magnetic impurities embedded in one- and two-dimensional electron gas in the presence of Rashba
spin-orbit coupling was analyzed theoretically. By using the eigenfunctions of the single-particle
Rashba Hamiltonian as the basis of second quantization, we derived the RKKY interaction by fully
taking into account the spin-orbit interaction. The dependence of the RKKY magnetic interaction on
the Rashba spin-orbit coupling strength was obtained numerically. Our results clearly indicate that
the RKKY interaction can be significantly modified by an applied voltage via the Rashba spin-orbit
coupling.