Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological constraints on positions of magnetic solitons in
  multiply-connected planar magnetic nano-elements   Here we consider an interplay between the topology of the magnetization
texture (which is a topological soliton, or Skyrmion) in a planar magnetic
nano-element and the topology of the element itself (its connectivity). We
establish the existence of a set of constraints, coupling these topologies,
which are specific for multiply connected elements and are absent in
simply-connected case. As an example, a specific constraint is derived for a
case of planar ring magnet, relating the angular positions of magnetic vortices
and antivortices inside. We analyze the recent experimental data on the vortex
magnetic domain walls in the ring to validate our findings.

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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc