Anisotropic Heisenberg form of RKKY interaction in the one-dimensional spin-polarized electron gas

Abstract

We study the indirect exchange interaction between two localized magnetic moments, known as Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction, in a one-dimensional 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, $R$, and compare them with the known results for RKKY interaction in the case of one-dimensional standard electron gas. We show this interaction can be written in an anisotropic Heisenberg form, $E(\vec{R})={\lambda }^2{\chi }_{xx}(S_{1x}{S}_{2x}+S_{1y}{S}_{2y})+{\lambda }^2{\chi }_{zz}{S}_{1z}{S}_{2z}$, coming from broken time-reversal symmetry of the host material.

arXiv commentInternational Journal of Modern Physics B, 2016

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• Effect of Rashba splitting on RKKY interaction in topological insulator thin films
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• Diversified Ruderman-Kittel-Kasuya-Yosida Interactions in a Nonsymmorphic Crystal
• Surface ferromagnetism in a chiral topological semimetal CoSi
• Surface spin polarization in the magnetic response of GeTe Rashba ferroelectric