Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Temperature Dependence of the Magnetic Penetration Depth and Nodal Gap
  Structure of UPt$_3$ from Small Angle Neutron Scattering   Spanning a broad range of physical systems, complex symmetry breaking is
widely recognized as a hallmark of competing interactions. This is exemplified
in superfluid $^3$He which has multiple thermodynamic phases with spin and
orbital quantum numbers $S=1$ and $L=1$, that emerge on cooling from a nearly
ferromagnetic Fermi liquid. The heavy fermion compound UPt$_3$ exhibits similar
behavior clearly manifest in its multiple superconducting phases. However,
consensus as to its order parameter symmetry has remained elusive. Our small
angle neutron scattering measurements indicate a linear temperature dependence
of the London penetration depth characteristic of nodal structure of the order
parameter. Our theoretical analysis is consistent with assignment of its
symmetry $L=3$ odd parity state for which one of the three thermodynamic phases
in non-zero magnetic field is chiral.

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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
1
The categories of this paper are: cs
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The categories of this paper are: comp-gas
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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: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga