Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin-Orbit Coupling and Symmetry of the Order Parameter in Strontium
  Ruthenate   Determination of the orbital symmetry of a state in spin triplet
Sr$_2$RuO$_4$ superconductor is a challenge of considerable importance. Most of
the experiments show that the chiral state of the $\hat{z} (k_x \pm ik_y)$ type
is realized and remains stable on lowering the temperature. Here we have
studied the stability of various superconducting states of Sr$_2$RuO$_4$ in the
presence of spin-orbit coupling.
  Numerically we found that the chiral state is never the minimum energy. Alone
among the five states studied it has $<{\bf \hat L}.{\bf \hat S} >=0$ and is
therefore not affected to linear order in the coupling parameter $\lambda$. We
found that stability of the chiral state requires spin dependent pairing
interactions. This imposes strong constraint on the pairing mechanism.

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The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
14
The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph