Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-consistent solution for the magnetic exchange interaction mediated
  by a superconductor   We theoretically determine the magnetic exchange interaction between two
ferromagnets coupled by a superconductor using a tight-binding lattice model.
The main purpose of this study is to determine how the self-consistently
determined superconducting state influences the exchange interaction and the
preferred ground-state of the system, including the role of impurity
scattering. We find that the superconducting state eliminates RKKY-like
oscillations for a sufficiently large superconducting gap, making the
anti-parallel orientation the ground state of the system. Interestingly, the
superconducting gap is larger in the parallel configuration than in the
anti-parallel configuration, giving a larger superconducting condensation
energy, even when the preferred ground state is anti-parallel. We also show
that increasing the impurity concentration in the superconductor causes the
exchange interaction to decrease, likely due to an increasing localization of
the mediating quasiparticles in the superconductor.

17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
2
The categories of this paper are: math