Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anisotropic Heisenberg form of RKKY interaction in the one-dimensional
  spin-polarized electron gas   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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The categories of this paper are: physics
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The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: stat