Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inhomogeneous magnetism in decagonal Al$_{69.8}$Pd$_{12.1}$Mn$_{18.1}$   We report the results of measurements of $^{27}$Al and $^{55}$Mn NMR spectra,
the related spin-lattice relaxation rates, and the dc magnetic susceptibility
of the stable decagonal quasicrystal Al$_{69.8}$Pd$_{12.1}$Mn$_{18.2}$. The
temperature-variation of the magnetic susceptibility $\chi(T)$ reveals that the
Mn ions carry only an average magnetic moment of approximately
$2\mu_{\mathrm{B}}$, and confirms a spin-glass type freezing of the Mn-moments
at $T_f=12$K. The NMR spectra reveal two partially resolved lines for the
$^{27}$Al-nuclei, indicating that there are two different sets of environments
for the Al-sites. The integrated intensity of the Mn line in the spectra
suggests that about half of the Mn ions carry no magnetic moment. Below 50K,
and upon decreasing the temperature, the $^{27}$Al NMR-linewidth $w$ and the
spin-lattice relaxation rate $T_1^{-1}$ both grow with an increasingly negative
slope, as it is often observed and interpreted as a critical "slowing down" of
magnetic moments in systems approaching a spin-glass transition. Various
features, such as a broad maximum in $T_1^{-1}(T)$ and a slope change in the
$w(\chi)$ plot, both around 120K, suggest a gradual reduction of the number of
Mn moments with decreasing temperature below 120K.

19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an