Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cooperative order in the weakly magnetic domain of
  LaFeAsO$_{1-x}$F$_{x}$ near the doping phase boundary   Spatial phase separation into mesoscopic domains of non-magnetic
[superconducting (SC) below Tc = 25.5 K] and two kinds of magnetic phases, one
showing disordered spin density wave (d-SDW) order and another associated with
glassy weak magnetism (WM), are observed below ~100 K by muon spin rotation
(muSR) in LaFeAsO1-xFx for x = 0.057(3) which is near the boundary of these
phases on the doping phase diagram. In contrast to the competing order observed
in the regular SDW phase of Ba(Fe1-xCox)2As2, the WM domain exhibits
cooperative coupling of superconducting and magnetic order parameters as
inferred from strong diamagnetism and associated negative shift of muSR
frequency just below Tc.

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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: stat