Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: What makes magnetic skyrmions different from magnetic bubbles ?   A large enough piece of ferromagnet is usually not magnetized uniformly, but
develops a magnetization texture. In thin films these textures can be
doubly-periodic. Such are the well known magnetic bubble domains and the
recently observed "skyrmion" magnetization textures in MnSi. In this paper we
develop a theory of periodic magnetization textures, based on complex calculus
to answer the question -- is there a difference between those two textures even
if they seem to carry the same topological winding number (or topological
charge) ? We find that such difference exists, facilitated by a different role
played by the magnetization vector's in-plane phase. We separate classical-like
and quantum-like features of magnetization textures and highlight the role of
magnetic anisotropy in favouring either of these cases.

24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int