Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Criticality and Inhomogeneous Magnetic Order in Fe-doped
  alpha-YbAlB4   The intermediate-valent polymorphs $\alpha$- and $\beta$-YbAlB$_4$ exhibit
quantum criticality and other novel properties not usually associated with
intermediate valence. Iron doping induces quantum criticality in
$\alpha$-YbAlB$_4$ and magnetic order in both compounds. We report results of
muon spin relaxation ($\mu$SR) experiments in the intermediate-valent alloys
$\alpha$-YbAl$_{1-x}$Fe$_x$B$_4$, $x = 0.014$ and 0.25. For $x = 0.014$ we find
no evidence for magnetic order down to 25 mK\@. The dynamic muon spin
relaxation rate $\lambda_d$ exhibits a power-law temperature dependence
$\lambda_d \propto T^{-a}$, $a = 0.40(4)$, in the temperature range 100 mK--2
K, in disagreement with predictions by theories of antiferromagnetic (AFM) or
valence quantum critical behavior. For $x = 0.25$, where AFM order develops in
the temperature range 7.5--10 K, where we find coexistence of meso- or
macroscopically segregated paramagnetic and AFM phases, with considerable
disorder in the latter down to 2 K.

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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org