Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Berry curvature of the Bogoliubov quasiparticle Bloch states in the
  unconventional superconductor Sr$_2$RuO$_4$   We will extend the concept of electron band Berry curvatures to
superconducting materials. We show that this can be defined for the
Bogoliubov-de Gennes equation describing the superconducting state in a
periodic crystal. In addition, the concept is exploited to understand the
driving mechanism for the optical Kerr effect in time reversal symmetry
breaking superconductors. Finally, we establish a sum rule analogue to the
normal state Hall sum rule making quantitative contact between the imaginary
part of the optical conductivity and the Berry curvature. The general theory
will be applied and tested against the drosophila of the p-wave paired
materials Sr$_2$RuO$_4$.

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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio