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arXiv · 1610.00344

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

M. M. Valizadeh
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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.

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M. M. Valizadeh. 2016-10-02. Anisotropic Heisenberg form of RKKY interaction in the one-dimensional spin-polarized electron gas. https://doi.org/10.1142/s0217979216502349

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