Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasiclassical numerical method for mesoscopic superconductors: bound
  states in a circular d-wave island with a single vortex   We demonstrate an efficient numerical method for obtaining unique solutions
to the Eilenberger equation for a mesoscopic or nanoscale superconductor. In
particular, we calculate the local density of states of a circular d-wave
island containing a single vortex. The "vortex shadow" effect is found to
strongly depend on the quasiparticle energy in such small systems. We show how
to construct by geometry quasiparticle trajectories confined in a finite-size
system with specular reflections at the boundary, and discuss the stability of
the numerical solutions even in the case of vanishing order parameter as for
nodal quasiparticles in a d-wave superconductor, or for quasiparticles passing
through the vortex center with zero energy.

32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th