Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The breakdown of superconductivity in the presence of magnetic steps   Many earlier works were devoted to the study of the breakdown of
superconductivity in type-II superconducting bounded planar domains, submitted
to smooth magnetic fields. In the present contribution, we consider a new
situation where the applied magnetic field is piecewise-constant, and the
discontinuity jump occurs along a smooth curve meeting the boundary
transversely. To handle this situation, we perform a detailed spectral analysis
of a new effective model. Consequently, we establish the monotonicity of the
transition from a superconducting to a normal state. Moreover, we determine the
location of superconductivity in the sample just before it disappears
completely. Interestingly, the study shows similarities with the case of corner
domains subjected to constant fields.

10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat