Abstract
We study the indirect exchange interaction between two localized magnetic moments, known as Ruderman–Kittel–Kasuya–Yosida (RKKY) interaction, in a one-dimensional (1D) spin-polarized electron gas. We find explicit expressions for each term of this interaction, study their oscillatory behaviors as a function of the distance between two magnetic moments, [Formula: see text], and compare them with the known results for RKKY interaction in the case of 1D standard electron gas. We show this interaction can be written in an anisotropic Heisenberg form, [Formula: see text], coming from broken time-reversal symmetry of the host material.
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