Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Role of non-collinear magnetization: from ferromagnetic nano wires to
  quantum rings   We consider interaction effects related to a nonuniform magnetization in
ferromagnetic nanowires and their possible generalization to nanorings. First
we show that the electric current in a ferromagnetic nanowire with more than
one domain wall induces an exchange coupling between the walls mediated by the
spin-dependent interference of scattered carriers. This interaction reveals a
complex behavior as a function of mutual orientations and separation of the
domain walls, thus affecting the domain wall dynamics. Then we consider how the
theory should be modified in the case of a magnetized quantum ring. In this
case the situation is more complicated because the vortex and onion
magnetization states in the ring are not truly ferromagnetic.

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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
18
The categories of this paper are: econ
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th