Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical current in thin flat superconductors with Bean-Livingston and
  geometrical barriers   Dependence of the critical current $I_c$ on the applied magnetic field $H_a$
is theoretically studied for a thin superconducting strip of a rectangular
cross section, taking an interplay between the Bean-Livingston and the
geometric barriers in the sample into account. It is assumed that bulk vortex
pinning is negligible, and the London penetration depth $\lambda$ is
essentially less than the thickness $d$ of the strip. To investigate the effect
of these barriers on $I_c$ rigorously, a two-dimensional distribution of the
current over the cross section of the sample is derived, using the approach
based on the methods of conformal mappings. With this distribution, the
dependence $I_c(H_a)$ is calculated for the fields $H_a$ not exceeding the
lower critical field. This calculation reveals that the following two
situations are possible: i) The critical current $I_c(H_a)$ is determined by
the Bean-Livingston barrier in the corners of the strip. ii) The geometrical
barrier prevails at low $H_a$, but with increasing magnetic field, the
Bean-Livingston barrier begins to dominate. The realization of one or the other
of these two situations is determined by the ratio $\lambda/d$.

31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph