Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tunneling Hamiltonian description of the atomic-scale 0-pi transition in
  superconductor/ferromagnetic-insulator junctions   We show a perturbation theory of the Josephson transport through
ferromagnetic insulators (FIs). Recently we have found that the appearance of
the atomic scale 0-pi transition in such junctions based on numerical
calculations. In order to explore the mechanism of this anomalous transition,
we have analytically calculated the Josephson current using the tunneling
Hamiltonian theory and found that the spin dependent pi-phase shift in the FI
barrier gives the atomic scale 0-pi transition.

2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int