Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superconductivity in the Ferroquadrupolar State in the Quadrupolar Kondo
  Lattice PrTi$_2$Al$_{20}$   The cubic compound PrTi$_2$Al$_{20}$ is a quadrupolar Kondo lattice system
that exhibits quadrupolar ordering due to the non-Kramers $\Gamma_3$ ground
doublet and has strong hybridization between $4f$ and conduction electrons. Our
study using high-purity single crystal reveals that PrTi$_2$Al$_{20}$ exhibits
type-II superconductivity at $T_{\rm c} = 200$ mK in the nonmagnetic
ferroquadrupolar state. The superconducting critical temperature and field
phase diagram suggests moderately enhanced effective mass of $m^*/m_0 \sim 16$.

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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex