Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Microscopic Theory of Superconductor-Constriction-Superconductor
  Josephson Junctions in a Magnetic Field   Self-consistent solutions of microscopic Eilenberger theory are presented for
a two-dimensional model of a superconducting channel with a geometric
constriction. Magnetic fields, external ones as well as those caused by the
supercurrents, are included and the relevant equations are solved numerically
without further assumptions. Results concerning the influence of temperature,
geometric parameters, of $\kappa=\lambda_L/\xi_0$ and of external magnetic
fields on the Andreev bound states in the weak link and on the current-phase
relation are presented. We find that the Andreev bound states within the
junction obtain peculiar substructure when a finite supercurrent flows. As long
as the London penetration depth is comparable to or bigger than the extension
of the constriction, the Josephson effect is independent of $\kappa$.
Furthermore, the weak link is very insensitive to external magnetic fields.
Features restricted to a self-consistent calculation are discussed.

28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con