Gate-tunable Ruderman-Kittel-Kasuya-Yosida interaction mediated by low-dimensional electrons with Rashba spin-orbit coupling

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