Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localized Singlets and Ferromagnetic Fluctuations in the Dilute Magnetic
  Topological Insulator Sn$_{0.95}$Mn$_{0.05}$Te   The development of long-range ferromagnetic (FM) order in dilute magnetic
topological insulators can induce dissipationless electronic surface transport
via the quantum anomalous Hall effect. We measure the magnetic excitations in a
prototypical magnetic topological crystalline insulator,
Sn$_{0.95}$Mn$_{0.05}$Te, using inelastic neutron scattering. Neutron
diffraction and magnetization data indicate that our Sn$_{0.95}$Mn$_{0.05}$Te
sample has no FM long-range order above a temperature of 2 K. However, we
observe slow, collective FM fluctuations ($<$~70 $\mu$eV), indicating proximity
to FM order. We also find a series of sharp peaks originating from local
excitations of antiferromagnetically (AF) coupled and isolated Mn-Mn dimers
with $J_{\rm AF}=460$~$\mu$eV\@. The simultaneous presence of collective and
localized components in the magnetic spectra highlight different roles for
substituted Mn ions, with competition between FM order and the formation of
AF-coupled Mn-Mn dimers.

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The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an