Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pairing Constraint on the Real Space Formalism of the Theory of
  Superconductivity   We review the new theory of impure superconductors constructed by Kim and
Overhauser, and further developed by Kim. It was shown that Gor'kov's
self-consistency equation needs a pairing constraint derived from the Anomalous
Green's function. Whereas earlier studies have applied a constraint only on the
pair potential, we show that the kernel also should be fixed by the ground
state. The Bogoliubov-de Gennes equations need a pairing constraint in order to
obtain the proper vacuum state by the corresponding unitary transformation. The
relation between the pair potential and the gap parameter is clarified. This
new study opens up a reinvestigation of inhomogeneous superconductors. We will
discuss (i) strong coupling theory of dirty superconductors, (ii) suppression
of magnetic impurity effect by ordinary impurities, (iii) weak localization
correction to the phonon-mediated interaction, and (iv) other inhomogeneous
superconductors.

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The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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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: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph