Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasiclassical calculation of spontaneous current in restricted
  geometries   Calculation of current and order parameter distribution in inhomogeneous
superconductors is often based on a self-consistent solution of Eilenberger
equations for quasiclassical Green's functions. Compared to the original Gorkov
equations, the problem is much simplified due to the fact that the values of
Green's functions at a given point are connected to the bulk ones at infinity
(boundary values) by ``dragging'' along the classical trajectories of
quasiparticles. In finite size systems, where classical trajectories undergo
multiple reflections from surfaces and interfaces, the usefulness of the
approach is no longer obvious, since there is no simple criterion to determine
what boundary value a trajectory corresponds to, and whether it reaches
infinity at all. Here, we demonstrate the modification of the approach based on
the Schophol-Maki transformation, which provides the basis for stable numerical
calculations in 2D. We apply it to two examples: generation of spontaneous
currents and magnetic moments in isolated islands of d-wave superconductor with
subdominant order-parameters s and d_{xy}, and in a grain boundary junction
between two arbitrarily oriented d-wave superconductors. Both examples are
relevant to the discussion of time-reversal symmetry breaking in unconventional
superconductors, as well as for application in quantum computing.

22
The categories of this paper are: chao-dyn
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
32
The categories of this paper are: atom-ph
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
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th