Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ground state of the three-dimensional BCS d-wave superconductor   We determine the mean-field ground state of the three-dimensional
rotationally symmetric d-wave ($\ell=2$) superconductor at weak coupling. It is
a non-inert state, invariant under the symmetry $C_{2}$ only, which breaks time
reversal symmetry almost maximally, and features a high, but again less than
maximal average magnetization. The state obtained by minimization of the
expanded sixth-order Ginzburg--Landau free energy is found to be an excellent
approximation to the true ground state. The coupling to a parasitic s-wave
component has only a minuscule quantitative and no qualitative effect on the
ground state.

35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
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The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
2
The categories of this paper are: math
3
The categories of this paper are: physics