Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anomalous angular dependence of the upper critical induction of
  orthorhombic ferromagnetic superconductors with completely broken p-wave
  symmetry   We employ the Klemm-Clem transformations to map the equations of motion for
the Green functions of a clean superconductor with a general ellipsoidal Fermi
surface (FS) characterized by the effective masses $m_1, m_2$, and $m_3$ in the
presence of an arbitrarily directed magnetic induction ${\bm
B}=B(\sin\theta\cos\phi,\sin\theta\sin\phi,\cos\theta)$ onto those of a
spherical FS. We then obtain the transformed gap equation for a transformed
pairing interaction $\tilde{V}(\hat{\tilde{\bm k}},\hat{\tilde{\bm k}}')$
appropriate for any orbital order parameter symmetry. We use these results to
calculate the upper critical induction $B_{c2}(\theta,\phi)$ for an
orthorhombic ferromagnetic superconductor with transition temperatures $T_{\rm
Curie}>T_c$. We assume the FS is split by strong spin-orbit coupling, with a
single parallel-spin ($\uparrow\uparrow$) pairing interaction of the
\textit{p}-wave polar state form locked onto the $\hat{\bm e}_3$ crystal axis
normal to the spontaneous magnetization ${\bm M}_0\perp\hat{\bm e}_3$ due to
the ferromagnetism. The orbital harmonic oscillator eigenvalues are modified
according to $B\rightarrow B\alpha$, where
$\alpha(\theta,\phi)=\sqrt{m_3/m}\sqrt{\cos^2\theta+\gamma^{-2}(\phi)\sin^2\theta}$,
$\gamma^2(\phi)=m_3/(m_1\cos^2\phi+m_2\sin^2\phi)$ and $m=(m_1m_2m_3)^{1/3}$.
At fixed $\phi$, the order parameter anisotropy causes $B_{c2}$ to exhibit a
novel $\theta$-dependence, which for $\gamma^2(\phi)>3$ becomes a double peak
at $0^{\circ}<\theta^{*}<90^{\circ}$ and at $180^{\circ}-\theta^{*}$, providing
a sensitive bulk test of the order parameter orbital symmetry in both phases of
URhGe and in similar compounds still to be discovered.

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The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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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: patt-sol
1
The categories of this paper are: cs
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The categories of this paper are: bayes-an
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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: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: math
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: eess