Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetic inhomogeneity on a triangular lattice: the magnetic-exchange
  versus the elastic energy and the role of disorder   Inhomogeneity in the ground state is an intriguing, emergent phenomenon in
magnetism. Recently, it has been observed in the magnetostructural channel of
the geometrically frustrated $\alpha$-NaMnO$_2$, for the first time in the
absence of active charge degrees of freedom. Here we report an in-depth
numerical and local-probe experimental study of the isostructural sister
compound CuMnO$_2$ that emphasizes and provides an explanation for the crucial
differences between the two systems. The experimentally verified, much more
homogeneous, ground state of the stoichiometric CuMnO$_2$ is attributed to the
reduced magnetoelastic competition between the counteracting magnetic-exchange
and elastic-energy contributions. The comparison of the two systems
additionally highlights the role of disorder and allows an understanding of the
puzzling phenomenon of phase separation in uniform antiferromagnets.

14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org